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1. Which of the following is a vector quantity?
ⓐ. Speed
ⓑ. Distance
ⓒ. Displacement
ⓓ. Work
Correct Answer: Displacement
Explanation: Displacement has both magnitude and direction, making it a vector quantity. Speed and distance are scalars since they only have magnitude. Work is also a scalar as it is the dot product of force and displacement.
2. The unit of acceleration in SI is:
ⓐ. m/s
ⓑ. m/s$^2$
ⓒ. km/h
ⓓ. cm/s
Correct Answer: m/s$^2$
Explanation: Acceleration is the rate of change of velocity with time. Since velocity is measured in m/s, dividing by time (s) gives m/s$^2$. Options A, C, and D represent incorrect or incomplete units.
3. A projectile is fired with velocity $u$ making an angle $\theta$ with the horizontal. The horizontal range is maximum when:
ⓐ. $\theta = 0^\circ$
ⓑ. $\theta = 30^\circ$
ⓒ. $\theta = 45^\circ$
ⓓ. $\theta = 90^\circ$
Correct Answer: $\theta = 45^\circ$
Explanation: The range of a projectile is given by $R = \frac{u^2 \sin 2\theta}{g}$. Maximum value occurs when $\sin 2\theta = 1$, i.e., $2\theta = 90^\circ$ → $\theta = 45^\circ$.
4. The magnitude of the resultant of two vectors is maximum when the angle between them is:
ⓐ. $0^\circ$
ⓑ. $60^\circ$
ⓒ. $90^\circ$
ⓓ. $180^\circ$
Correct Answer: $0^\circ$
Explanation: The magnitude of the resultant is $R = \sqrt{A^2 + B^2 + 2AB\cos\theta}$. For $\theta = 0^\circ$, $\cos\theta = 1$, hence $R = A + B$, which is maximum. At $180^\circ$, resultant becomes minimum $|A-B|$.
5. A particle moves in a circle of radius $r$ with constant speed $v$. Its acceleration is:
ⓐ. Zero
ⓑ. $v/r$
ⓒ. $v^2/r$
ⓓ. $r/v$
Correct Answer: $v^2/r$
Explanation: In uniform circular motion, acceleration is centripetal with magnitude $a = v^2/r$. It is directed towards the center. Options A and B are incorrect because acceleration is not zero, and the formula is not $v/r$.
6. The component of vector $\vec{A}$ along the x-axis is:
ⓐ. $A\cos\theta$
ⓑ. $A\sin\theta$
ⓒ. $A\tan\theta$
ⓓ. $A/\cos\theta$
Correct Answer: $A\cos\theta$
Explanation: If a vector $\vec{A}$ makes an angle $\theta$ with the x-axis, then its x-component is $A_x = A\cos\theta$. Similarly, y-component is $A\sin\theta$.
7. A car is moving with velocity $20 \, \text{m/s}$ north and a wind blows with velocity $15 \, \text{m/s}$ east. The resultant velocity of the car is:
ⓐ. 25 m/s
ⓑ. 35 m/s
ⓒ. 5 m/s
ⓓ. 17.5 m/s
Correct Answer: 25 m/s
Explanation: Resultant velocity is given by Pythagoras theorem:
$v = \sqrt{20^2 + 15^2} = \sqrt{400 + 225} = \sqrt{625} = 25 \, \text{m/s}$.
8. If a ball is projected upwards with velocity $u$, the maximum height attained is:
ⓐ. $\frac{u^2}{2g}$
ⓑ. $\frac{u}{g}$
ⓒ. $\frac{u^2}{g}$
ⓓ. $\frac{2u}{g}$
Correct Answer: $\frac{u^2}{2g}$
Explanation: At maximum height, final velocity $v = 0$. Using $v^2 = u^2 – 2gh$:
$0 = u^2 – 2gh$ → $h = \frac{u^2}{2g}$.
9. The velocity of a particle in two dimensions is given by $\vec{v} = (3t\hat{i} + 4t^2\hat{j})$. Its acceleration at time $t = 2 \, \text{s}$ is:
ⓐ. $3\hat{i} + 16\hat{j}$
ⓑ. $0\hat{i} + 8\hat{j}$
ⓒ. $3\hat{i} + 32\hat{j}$
ⓓ. $6\hat{i} + 8\hat{j}$
Correct Answer: $3\hat{i} + 32\hat{j}$
Explanation: Acceleration is derivative of velocity:
$\vec{a} = \frac{d\vec{v}}{dt} = (3\hat{i} + 8t\hat{j})$. At $t = 2$:
$\vec{a} = 3\hat{i} + 16 \times 2 \hat{j} = 3\hat{i} + 32\hat{j}$.
10. Which of the following represents a scalar quantity?
ⓐ. Torque
ⓑ. Angular momentum
ⓒ. Kinetic energy
ⓓ. Linear momentum
Correct Answer: Kinetic energy
Explanation: Kinetic energy is given by $KE = \frac{1}{2}mv^2$, which has only magnitude and no direction, making it a scalar. Torque and angular momentum are vector quantities (in rotational motion), while linear momentum is also a vector.
11. Which of the following best describes rectilinear motion?
ⓐ. Motion along a straight line
ⓑ. Motion along a curved path
ⓒ. Motion along a circular path
ⓓ. Motion with changing direction but constant speed
Correct Answer: Motion along a straight line
Explanation: Rectilinear motion refers to motion along a straight path, such as a car moving on a straight road. Curvilinear motion is along a curved path, while circular motion is a special case of curvilinear motion.
12. A ball rolling on a straight horizontal road represents:
ⓐ. Curvilinear motion
ⓑ. Rectilinear motion
ⓒ. Rotational motion only
ⓓ. Oscillatory motion
Correct Answer: Rectilinear motion
Explanation: Since the path of the ball’s center is a straight line, it is rectilinear motion. Although the ball rotates, the motion of its center of mass along the road is rectilinear.
13. The trajectory of a projectile (ignoring air resistance) is an example of:
ⓐ. Rectilinear motion
ⓑ. Curvilinear motion
ⓒ. Uniform motion
ⓓ. Oscillatory motion
Correct Answer: Curvilinear motion
Explanation: The projectile follows a curved parabolic path, hence it is curvilinear motion. Rectilinear motion is along a straight line, which is not the case here.
14. Which of the following is an example of curvilinear motion?
ⓐ. A train moving on a straight track
ⓑ. A free-falling object
ⓒ. A stone tied to a string and whirled in a circle
ⓓ. A car moving with constant speed on a straight highway
Correct Answer: A stone tied to a string and whirled in a circle
Explanation: The stone moves along a circular path, which is a type of curvilinear motion. The other examples involve rectilinear motion (straight paths).
15. If an object moves along a curved path with varying direction, the motion is called:
ⓐ. Rectilinear motion
ⓑ. Curvilinear motion
ⓒ. Oscillatory motion
ⓓ. Rotational motion
Correct Answer: Curvilinear motion
Explanation: Any motion along a curved trajectory, regardless of whether speed is constant or not, is curvilinear. Rectilinear applies only to straight-line paths.
16. The motion of a car turning around a roundabout is:
ⓐ. Rectilinear motion
ⓑ. Curvilinear motion
ⓒ. Oscillatory motion
ⓓ. Random motion
Correct Answer: Curvilinear motion
Explanation: As the car turns, it moves along a curved circular path, making it curvilinear motion.
17. A bus moving along a straight road with acceleration is an example of:
ⓐ. Uniform rectilinear motion
ⓑ. Non-uniform rectilinear motion
ⓒ. Curvilinear motion
ⓓ. Oscillatory motion
Correct Answer: Non-uniform rectilinear motion
Explanation: Since the bus moves in a straight line (rectilinear) but with varying velocity due to acceleration, the motion is non-uniform rectilinear motion.
18. Which of the following equations represents rectilinear motion with uniform acceleration?
ⓐ. $v = u + at$
ⓑ. $s = ut + \frac{1}{2}at^2$
ⓒ. $v^2 – u^2 = 2as$
ⓓ. All of the above
Correct Answer: All of the above
Explanation: All three equations are derived from kinematics in one dimension, which corresponds to rectilinear motion.
19. An airplane taking a curved turn in the sky is an example of:
ⓐ. Rectilinear motion
ⓑ. Curvilinear motion
ⓒ. Random motion
ⓓ. Oscillatory motion
Correct Answer: Curvilinear motion
Explanation: As the airplane follows a curved trajectory while turning, it is in curvilinear motion.
20. The motion of a lift moving up and down in a building shaft is:
ⓐ. Rectilinear motion
ⓑ. Curvilinear motion
ⓒ. Circular motion
ⓓ. Oscillatory motion
Correct Answer: Rectilinear motion
Explanation: The lift moves along a straight vertical path, so its motion is rectilinear. Though it goes up and down, the path remains straight.
21. A car starts from rest and moves with uniform acceleration $2 \, \text{m/s}^2$ along a straight road. What is the distance covered in 5 seconds?
ⓐ. 20 m
ⓑ. 25 m
ⓒ. 50 m
ⓓ. 100 m
Correct Answer: 50 m
Explanation: Using equation of motion $s = ut + \tfrac{1}{2}at^2$. Here, $u = 0, a = 2, t = 5$.
$s = 0 \times 5 + \tfrac{1}{2}(2)(25) = 25 \times 2 = 50 \, \text{m}$.
22. An object moves along a straight line with velocity $v = 5t \, \text{m/s}$. What is the displacement in the first 4 seconds?
ⓐ. 20 m
ⓑ. 30 m
ⓒ. 35 m
ⓓ. 40 m
Correct Answer: 40 m
Explanation: Displacement $s = \int v \, dt = \int 5t \, dt = \tfrac{5t^2}{2}$. At $t = 4$:
$s = \tfrac{5 \times 16}{2} = 40 \, \text{m}$.
23. A particle is moving along a circular path of radius $10 \, \text{m}$ with speed $5 \, \text{m/s}$. What is its centripetal acceleration?
ⓐ. 2.5 m/s$^2$
ⓑ. 5 m/s$^2$
ⓒ. 10 m/s$^2$
ⓓ. 25 m/s$^2$
Correct Answer: 2.5 m/s$^2$
Explanation: Centripetal acceleration $a = \tfrac{v^2}{r} = \tfrac{25}{10} = 2.5 \, \text{m/s}^2$.
24. A body travels 10 m in the first second, 20 m in the next second, and 30 m in the third second along a straight line. The acceleration is:
ⓐ. 5 m/s$^2$
ⓑ. 10 m/s$^2$
ⓒ. 15 m/s$^2$
ⓓ. 20 m/s$^2$
Correct Answer: 5 m/s$^2$
Explanation: Distances covered in successive seconds form an arithmetic sequence: $u + \tfrac{1}{2}a, u + \tfrac{3}{2}a, u + \tfrac{5}{2}a$.
Given: 10, 20, 30. Solving: First term $u + \tfrac{1}{2}a = 10$. Second term – first term = 10 = $a$. Thus $a = 5 \, \text{m/s}^2$.
25. A stone is dropped from a height of 45 m. How long will it take to reach the ground? (Take $g = 10 \, \text{m/s}^2$)
ⓐ. 2 s
ⓑ. 3 s
ⓒ. 4 s
ⓓ. 5 s
Correct Answer: 3 s
Explanation: $s = \tfrac{1}{2} g t^2$. Substituting: $45 = \tfrac{1}{2} (10) t^2$.
$t^2 = 9 \Rightarrow t = 3 \, \text{s}$.
26. A cyclist moves along a circular track of radius 70 m. If he completes one revolution in 22 s, find his speed.
ⓐ. 10 m/s
ⓑ. 15 m/s
ⓒ. 20 m/s
ⓓ. 25 m/s
Correct Answer: 10 m/s
Explanation: Speed = distance/time. One revolution distance = circumference $= 2\pi r = 2 \times 3.14 \times 70 = 439.6 \, \text{m}$.
$v = 439.6/44 \approx 10 \, \text{m/s}$.
27. A train increases its velocity from 10 m/s to 30 m/s in 10 seconds along a straight line. Its acceleration is:
ⓐ. 1 m/s$^2$
ⓑ. 2 m/s$^2$
ⓒ. 3 m/s$^2$
ⓓ. 4 m/s$^2$
Correct Answer: 2 m/s$^2$
Explanation: $a = (v-u)/t = (30-10)/10 = 20/10 = 2 \, \text{m/s}^2$.
28. A particle moves along a semicircular path of radius 7 m. What is the displacement after completing the semicircle?
ⓐ. 7 m
ⓑ. 14 m
ⓒ. $7\pi$ m
ⓓ. $14\pi$ m
Correct Answer: 14 m
Explanation: Displacement is the straight-line distance between initial and final positions (ends of diameter). Hence, displacement = 2r = 14 m.
29. A bullet moves with velocity 200 m/s and strikes a target making an angle of $30^\circ$ with the horizontal. Find its horizontal component of velocity.
ⓐ. 100 m/s
ⓑ. 150 m/s
ⓒ. 173 m/s
ⓓ. 200 m/s
Correct Answer: 173 m/s
Explanation: Horizontal component = $v_x = v \cos\theta = 200 \cos 30^\circ = 200 \times 0.866 \approx 173 \, \text{m/s}$.
30. A car moves 100 m east and then 100 m north. What is the resultant displacement?
ⓐ. 100 m
ⓑ. 141 m
ⓒ. 200 m
ⓓ. 50 m
Correct Answer: 141 m
Explanation: Displacement is the diagonal of a right-angled triangle:
$d = \sqrt{100^2 + 100^2} = \sqrt{20000} = 141 \, \text{m}$.
31. Why is it necessary to study motion in two dimensions?
ⓐ. Because all motion is in a straight line
ⓑ. Because many real-life motions occur in a plane
ⓒ. Because it simplifies all calculations
ⓓ. Because vectors are not needed in one dimension
Correct Answer: Because many real-life motions occur in a plane
Explanation: Most natural motions like projectile motion, circular motion, and motion of celestial bodies take place in two dimensions. Studying them helps in understanding real-life physical situations. One-dimensional analysis is insufficient in these cases.
32. The study of two-dimensional motion mainly requires the use of:
ⓐ. Scalars only
ⓑ. Algebra only
ⓒ. Vector analysis
ⓓ. Trigonometry only
Correct Answer: Vector analysis
Explanation: Two-dimensional motion involves quantities having both magnitude and direction, such as velocity and acceleration. Thus, vector analysis is essential for proper resolution and calculation of motion parameters.
33. Which of the following is an example of two-dimensional motion?
ⓐ. A car moving on a straight road
ⓑ. A stone falling vertically
ⓒ. A projectile thrown at an angle
ⓓ. A lift moving up in a shaft
Correct Answer: A projectile thrown at an angle
Explanation: Projectile motion involves horizontal and vertical components simultaneously, making it a two-dimensional motion. Straight-line motion (car, lift, free fall) is one-dimensional.
34. Which of the following best illustrates why two-dimensional motion must be studied separately from one-dimensional motion?
ⓐ. Because objects move only in straight lines
ⓑ. Because displacement has only one direction
ⓒ. Because velocity and acceleration may not be along the same direction
ⓓ. Because equations of motion cannot be applied
Correct Answer: Because velocity and acceleration may not be along the same direction
Explanation: In two-dimensional motion, the direction of velocity and acceleration can differ (e.g., circular motion). This makes vector analysis and separate study necessary.
35. Which mathematical tool helps in resolving two-dimensional motion into independent directions?
ⓐ. Differentiation
ⓑ. Integration
ⓒ. Trigonometric functions
ⓓ. Probability
Correct Answer: Trigonometric functions
Explanation: Using sine and cosine, vectors like velocity and acceleration can be broken into horizontal and vertical components. These help simplify two-dimensional motion into two independent one-dimensional motions.
36. A car travels east 40 km and then north 30 km. Why do we need two-dimensional motion analysis here?
ⓐ. Because displacement depends on both east and north components
ⓑ. Because the car always moves in a straight line
ⓒ. Because the path length is equal to displacement
ⓓ. Because one-dimensional formulas are sufficient
Correct Answer: Because displacement depends on both east and north components
Explanation: Since the car changes direction, displacement must be calculated as the resultant vector of both motions, not just by adding distances.
37. Studying motion in two dimensions is important in sports because:
ⓐ. Athletes only move in straight lines
ⓑ. Projectiles like balls follow curved paths
ⓒ. Speed of players is always constant
ⓓ. Angles are not involved in motion
Correct Answer: Projectiles like balls follow curved paths
Explanation: In sports like cricket, football, or basketball, the motion of the ball is a typical example of two-dimensional projectile motion.
38. An aircraft flying north at 200 km/h experiences a crosswind of 50 km/h towards the east. Why must two-dimensional analysis be applied?
ⓐ. Because resultant velocity is along one axis
ⓑ. Because resultant velocity depends on vector addition
ⓒ. Because motion is rectilinear
ⓓ. Because acceleration is zero
Correct Answer: Because resultant velocity depends on vector addition
Explanation: The actual velocity of the aircraft is the vector sum of its velocity and the wind velocity, making this a two-dimensional motion problem.
39. Why is studying motion in two dimensions important for space science?
ⓐ. Because rockets move only vertically
ⓑ. Because satellites move in circular orbits around Earth
ⓒ. Because astronauts always move in straight lines
ⓓ. Because equations of motion do not apply in space
Correct Answer: Because satellites move in circular orbits around Earth
Explanation: Satellite motion is a classic two-dimensional problem, involving centripetal acceleration and velocity at right angles. Hence, two-dimensional study is crucial in space science.
40. The main advantage of resolving motion into two perpendicular components is:
ⓐ. It reduces vectors into scalars
ⓑ. Both motions can be studied independently
ⓒ. It eliminates the need for equations of motion
ⓓ. It makes direction unimportant
Correct Answer: Both motions can be studied independently
Explanation: Motion in two dimensions can be split into horizontal and vertical components, which are independent of each other. This makes analysis simpler and more accurate.
41. Which of the following is a scalar quantity?
ⓐ. Velocity
ⓑ. Acceleration
ⓒ. Work
ⓓ. Force
Correct Answer: Work
Explanation: Scalars have only magnitude and no direction. Work is given by $W = F \cdot d \cdot \cos\theta$, which results in a single numerical value. Velocity, acceleration, and force are all vectors because they have both magnitude and direction. Work cannot be represented with an arrow diagram, while the others can.
42. Which of the following is a vector quantity?
ⓐ. Mass
ⓑ. Distance
ⓒ. Displacement
ⓓ. Temperature
Correct Answer: Displacement
Explanation: Displacement is the shortest distance between two points in a specified direction. Since it involves both magnitude (how far) and direction (which way), it is a vector. Mass, distance, and temperature are scalars because they lack direction.
43. Which of these statements is correct regarding scalars and vectors?
ⓐ. All physical quantities are scalars
ⓑ. A scalar is always positive, while a vector can be negative
ⓒ. Vectors cannot be represented graphically
ⓓ. Scalars and vectors are the same in one dimension
Correct Answer: A scalar is always positive, while a vector can be negative
Explanation: Scalars like mass and speed are always non-negative. Vectors like velocity and displacement can have positive or negative directions. For example, velocity $+10 \, \text{m/s}$ means motion forward, while $-10 \, \text{m/s}$ means motion backward.
44. The correct example of a vector quantity is:
ⓐ. Energy
ⓑ. Pressure
ⓒ. Electric field
ⓓ. Power
Correct Answer: Electric field
Explanation: The electric field at a point is defined as $\vec{E} = \frac{\vec{F}}{q}$, where $\vec{F}$ is the force on a test charge. Since force has direction, the electric field also has direction. Energy, pressure, and power are scalars, as they only measure magnitude without orientation.
45. Which of the following pairs correctly distinguishes a scalar and a vector?
ⓐ. Distance and Displacement
ⓑ. Speed and Temperature
ⓒ. Work and Energy
ⓓ. Force and Pressure
Correct Answer: Force and Pressure
Explanation: Force is a vector because it specifies both magnitude and direction of push or pull. Pressure is scalar because it measures force per unit area without specifying a direction of the vector force distribution. Speed and temperature are both scalars, while work and energy are scalars too, so those pairs are incorrect.
46. Why is velocity considered a vector while speed is a scalar?
ⓐ. Because velocity is always greater than speed
ⓑ. Because velocity has both magnitude and direction, speed has only magnitude
ⓒ. Because velocity depends on acceleration, speed does not
ⓓ. Because velocity changes, speed does not
Correct Answer: Because velocity has both magnitude and direction, speed has only magnitude
Explanation: Speed gives how fast an object is moving irrespective of direction. Velocity specifies both the speed and the direction of motion. For example, 60 km/h north is a velocity, while 60 km/h is just speed. This distinction makes velocity a vector quantity.
47. Which is not a scalar quantity?
ⓐ. Work
ⓑ. Temperature
ⓒ. Pressure
ⓓ. Momentum
Correct Answer: Momentum
Explanation: Momentum is given by $\vec{p} = m\vec{v}$. Since velocity is a vector, momentum is also a vector. Work, temperature, and pressure are scalars because they only describe how much but not in which direction.
48. Which one of the following is a scalar quantity?
ⓐ. Torque
ⓑ. Angular momentum
ⓒ. Power
ⓓ. Linear momentum
Correct Answer: Power
Explanation: Power is the rate of doing work, $P = \frac{W}{t}$, and since work is a scalar, dividing by time still gives a scalar. Torque, angular momentum, and linear momentum are all vectors because they require direction in their definitions (cross products or vector multiplications).
49. Which of these cannot be represented by a directed line (arrow)?
ⓐ. Force
ⓑ. Displacement
ⓒ. Energy
ⓓ. Velocity
Correct Answer: Energy
Explanation: Force, displacement, and velocity can be shown as arrows since they have both magnitude and direction. Energy is scalar and cannot be represented as an arrow; it is represented only by a numerical value.
50. A vector is fully specified by:
ⓐ. Its magnitude only
ⓑ. Its direction only
ⓒ. Both magnitude and direction
ⓓ. Its unit only
Correct Answer: Both magnitude and direction
Explanation: A vector requires both magnitude (how much) and direction (which way) to be completely defined. For example, a force of 10 N to the east is a vector. Only stating “10 N” (magnitude alone) does not describe the vector completely. Scalars, in contrast, need only magnitude.
51. Which of the following is an example of a scalar quantity?
ⓐ. Velocity
ⓑ. Mass
ⓒ. Force
ⓓ. Acceleration
Correct Answer: Mass
Explanation: Mass is a measure of the amount of matter contained in an object. It has magnitude only (e.g., 5 kg) but no direction. Velocity, force, and acceleration all require direction to be fully specified, making them vectors, whereas mass is scalar.
52. Temperature is considered a scalar because:
ⓐ. It is measured in Kelvin
ⓑ. It has magnitude only without direction
ⓒ. It can be represented with arrows
ⓓ. It depends on velocity
Correct Answer: It has magnitude only without direction
Explanation: Temperature indicates the average kinetic energy of particles in a body. It is expressed as a numerical value (e.g., 300 K, 27 °C) and does not require a direction. Scalars like temperature cannot be represented by a vector arrow.
53. Which of the following is not a scalar quantity?
ⓐ. Work
ⓑ. Distance
ⓒ. Speed
ⓓ. Displacement
Correct Answer: Displacement
Explanation: Displacement depends on both how far an object has moved and in which direction, making it a vector. Work, distance, and speed are scalars since they only involve magnitude.
54. Which scalar physical quantity remains the same everywhere in the universe for an object?
ⓐ. Weight
ⓑ. Mass
ⓒ. Force
ⓓ. Acceleration
Correct Answer: Mass
Explanation: Mass is an intrinsic property of matter and does not depend on location. Weight varies with gravitational acceleration, and force or acceleration depend on interactions. Thus, mass is a scalar that remains constant universally.
55. Heat energy is considered a scalar because:
ⓐ. It flows from hot to cold bodies
ⓑ. It has magnitude only and no specific direction
ⓒ. It is measured in joules
ⓓ. It is always positive
Correct Answer: It has magnitude only and no specific direction
Explanation: Heat is the transfer of energy due to a temperature difference. It is quantified by magnitude (joules) but has no inherent direction property like a vector. Although heat flows from hot to cold, the flow direction is a result of energy transfer, not a property of heat itself.
56. Which among the following is a scalar?
ⓐ. Momentum
ⓑ. Energy
ⓒ. Displacement
ⓓ. Electric field
Correct Answer: Energy
Explanation: Energy has magnitude only and no direction. It can be expressed as work done or capacity to do work (in joules). Momentum, displacement, and electric field involve both magnitude and direction, so they are vectors.
57. A runner completes one full lap of 400 m around a circular track. Which quantity is scalar?
ⓐ. Displacement = 0 m
ⓑ. Distance = 400 m
ⓒ. Velocity = 0 m/s
ⓓ. Acceleration = constant
Correct Answer: Distance = 400 m
Explanation: Distance is a scalar that measures the total path length traveled, irrespective of direction. Displacement and velocity are vectors and can be zero after one lap, but distance is always positive and scalar.
58. Pressure is a scalar because:
ⓐ. It acts perpendicular to a surface
ⓑ. It is force per unit area with no specific direction
ⓒ. It is measured in Pascal
ⓓ. It can be represented graphically
Correct Answer: It is force per unit area with no specific direction
Explanation: While the force acts in a particular direction, pressure represents the magnitude of force per unit area. It is a single value that applies equally in all directions at a point, making it a scalar.
59. Which one is a scalar quantity commonly used in thermodynamics?
ⓐ. Force
ⓑ. Work
ⓒ. Torque
ⓓ. Momentum
Correct Answer: Work
Explanation: Work done is defined as $W = F \cdot d \cdot \cos\theta$. It is scalar because it results in a numerical value irrespective of the direction of displacement and force components. Force, torque, and momentum are vectors.
60. Why is speed considered a scalar while velocity is not?
ⓐ. Speed has only magnitude, velocity has both magnitude and direction
ⓑ. Speed is measured in km/h, velocity is measured in m/s
ⓒ. Speed is always greater than velocity
ⓓ. Speed never changes, velocity does
Correct Answer: Speed has only magnitude, velocity has both magnitude and direction
Explanation: Speed is the rate of change of distance with respect to time and does not need a direction. Velocity is the rate of change of displacement with direction. For example, 40 km/h north is velocity, while 40 km/h is speed.
61. Which of the following is an example of a vector quantity?
ⓐ. Distance
ⓑ. Velocity
ⓒ. Speed
ⓓ. Mass
Correct Answer: Velocity
Explanation: Velocity is defined as the rate of change of displacement. Since displacement has both magnitude and direction, velocity also includes both. Distance, speed, and mass are scalars because they do not include direction.
62. A car travels 100 m north and then 100 m east. Which of the following represents its displacement?
ⓐ. 200 m
ⓑ. 141 m
ⓒ. 100 m
ⓓ. 50 m
Correct Answer: 141 m
Explanation: Displacement is the shortest straight-line distance between initial and final position. Using Pythagoras theorem, displacement = $\sqrt{100^2 + 100^2} = 141 \, \text{m}$. Distance traveled is 200 m (a scalar), but displacement is 141 m (a vector).
63. Which of the following quantities has both magnitude and direction?
ⓐ. Temperature
ⓑ. Displacement
ⓒ. Energy
ⓓ. Pressure
Correct Answer: Displacement
Explanation: Displacement measures the change in position of a body and specifies the direction as well as the length of the path. Temperature, energy, and pressure have only magnitude, making them scalars.
64. A man walks 4 km towards the east and then 3 km towards the north. What is his resultant displacement?
ⓐ. 5 km
ⓑ. 6 km
ⓒ. 7 km
ⓓ. 12 km
Correct Answer: 5 km
Explanation: Resultant displacement is the diagonal of a right-angled triangle: $\sqrt{4^2 + 3^2} = \sqrt{16 + 9} = \sqrt{25} = 5 \, \text{km}$. Distance traveled = 7 km, but displacement = 5 km vector.
65. Which of the following is a correct example of a vector in physics?
ⓐ. Kinetic energy
ⓑ. Acceleration
ⓒ. Work
ⓓ. Speed
Correct Answer: Acceleration
Explanation: Acceleration is the rate of change of velocity with time. Since velocity is a vector, acceleration also has both magnitude and direction. Work, kinetic energy, and speed are scalar because they lack direction.
66. A particle is moving with uniform velocity 10 m/s east. After 5 seconds, what is its displacement?
ⓐ. 25 m
ⓑ. 40 m
ⓒ. 50 m
ⓓ. 100 m
Correct Answer: 50 m
Explanation: Displacement = velocity × time = $10 \times 5 = 50 \, \text{m}$ east. Displacement specifies both the numerical value (50 m) and direction (east), making it a vector.
67. Which of the following is not a vector quantity?
ⓐ. Force
ⓑ. Momentum
ⓒ. Displacement
ⓓ. Energy
Correct Answer: Energy
Explanation: Force, momentum, and displacement require direction for complete specification, so they are vectors. Energy is a scalar because it represents only magnitude.
68. An object moves from point A (0, 0) to point B (6, 8). What is the magnitude of displacement?
ⓐ. 8 m
ⓑ. 10 m
ⓒ. 12 m
ⓓ. 14 m
Correct Answer: 10 m
Explanation: Displacement = $\sqrt{6^2 + 8^2} = \sqrt{36 + 64} = \sqrt{100} = 10 \, \text{m}$. This result also demonstrates the Pythagorean triplet. Distance traveled may vary depending on path, but displacement is the straight-line vector.
69. Which statement correctly describes the difference between velocity and speed?
ⓐ. Velocity and speed are always equal
ⓑ. Velocity is scalar, speed is vector
ⓒ. Velocity includes direction, speed does not
ⓓ. Speed can be negative, velocity cannot
Correct Answer: Velocity includes direction, speed does not
Explanation: Speed is the rate of change of distance with time and is always positive. Velocity is the rate of change of displacement and specifies both magnitude and direction. For example, “20 m/s north” is velocity, while “20 m/s” is speed.
70. A car travels 60 km/h towards the north. Which statement best describes this?
ⓐ. Scalar quantity because it is speed
ⓑ. Vector quantity because it includes both magnitude and direction
ⓒ. Scalar because direction is not needed
ⓓ. Neither scalar nor vector
Correct Answer: Vector quantity because it includes both magnitude and direction
Explanation: The magnitude of 60 km/h with the specified direction (north) makes this a velocity, hence a vector. If only 60 km/h was given without direction, it would be speed, a scalar.
71. A vector quantity is completely specified by:
ⓐ. Its unit only
ⓑ. Its magnitude and direction
ⓒ. Its magnitude only
ⓓ. Its direction only
Correct Answer: Its magnitude and direction
Explanation: Vectors need both magnitude (how much) and direction (which way). For example, a force of 20 N to the east specifies both size and orientation. Without direction, the information is incomplete, making it just a scalar.
72. Which of the following graphical methods is most commonly used to represent a vector?
ⓐ. A line graph
ⓑ. A bar graph
ⓒ. A directed line segment (arrow)
ⓓ. A circle
Correct Answer: A directed line segment (arrow)
Explanation: A vector is represented by an arrow, where the length is proportional to the magnitude and the arrowhead shows the direction. Scalars cannot be represented this way because they lack orientation.
73. The magnitude of a vector is represented in a diagram by:
ⓐ. The angle it makes with the axis
ⓑ. The thickness of the arrow
ⓒ. The length of the arrow
ⓓ. The color of the arrow
Correct Answer: The length of the arrow
Explanation: In vector representation, the longer the arrow, the larger the magnitude of the vector. Direction is shown by the arrowhead, and the magnitude is scaled according to the chosen unit.
74. A vector making an angle $\theta$ with the positive x-axis is represented as:
ⓐ. $A\cos\theta$
ⓑ. $A\sin\theta$
ⓒ. $(A\cos\theta)\hat{i} + (A\sin\theta)\hat{j}$
ⓓ. $A\tan\theta$
Correct Answer: $(A\cos\theta)\hat{i} + (A\sin\theta)\hat{j}$
Explanation: A vector in two dimensions can be resolved into horizontal and vertical components. The x-component is $A\cos\theta$, and the y-component is $A\sin\theta$. Thus, in Cartesian form: $\vec{A} = (A\cos\theta)\hat{i} + (A\sin\theta)\hat{j}$.
75. If a vector $\vec{A}$ has components $A_x = 3$ and $A_y = 4$, then its magnitude is:
ⓐ. 5
ⓑ. 7
ⓒ. 12
ⓓ. 25
Correct Answer: 5
Explanation: Magnitude of vector is given by $|\vec{A}| = \sqrt{A_x^2 + A_y^2} = \sqrt{3^2 + 4^2} = \sqrt{9 + 16} = \sqrt{25} = 5$. This forms the 3-4-5 right triangle.
76. The direction of a vector in a plane is measured with respect to:
ⓐ. The negative x-axis
ⓑ. The positive x-axis
ⓒ. The y-axis only
ⓓ. Any arbitrary point
Correct Answer: The positive x-axis
Explanation: By convention, the direction of a vector in Cartesian coordinates is measured from the positive x-axis in the counter-clockwise sense. This standard ensures uniformity in representing angles.
77. A displacement vector of 10 m makes an angle of $60^\circ$ with the x-axis. What is its x-component?
ⓐ. 10 m
ⓑ. 8.66 m
ⓒ. 5 m
ⓓ. 6 m
Correct Answer: 5 m
Explanation: The x-component of the vector is given by $A_x = A\cos\theta = 10 \cos 60^\circ = 10 \times 0.5 = 5 \, \text{m}$.
78. A velocity vector has components $v_x = 12 \, \text{m/s}$ and $v_y = 5 \, \text{m/s}$. What is the angle it makes with the x-axis?
ⓐ. $15^\circ$
ⓑ. $22.6^\circ$
ⓒ. $30^\circ$
ⓓ. $45^\circ$
Correct Answer: $22.6^\circ$
Explanation: The angle is given by $\theta = \tan^{-1}(v_y/v_x) = \tan^{-1}(5/12) \approx 22.6^\circ$. The angle specifies the direction of the velocity vector relative to the x-axis.
79. Which statement is correct about representing vectors in Cartesian form?
ⓐ. Only magnitude is needed
ⓑ. A vector can be split into mutually perpendicular components
ⓒ. A vector cannot be expressed using unit vectors
ⓓ. Components are always negative
Correct Answer: A vector can be split into mutually perpendicular components
Explanation: In two dimensions, a vector is expressed as $\vec{A} = A_x\hat{i} + A_y\hat{j}$. These components are perpendicular to each other and uniquely specify the vector in Cartesian coordinates.
80. The vector $\vec{A} = 6\hat{i} + 8\hat{j}$ has a magnitude of:
ⓐ. 8
ⓑ. 10
ⓒ. 12
ⓓ. 14
Correct Answer: 10
Explanation: Magnitude is given by $|\vec{A}| = \sqrt{A_x^2 + A_y^2} = \sqrt{6^2 + 8^2} = \sqrt{36 + 64} = \sqrt{100} = 10$. This is another application of the Pythagorean theorem.
81. A vector of magnitude 20 units makes an angle of $30^\circ$ with the positive x-axis. What is its horizontal component?
ⓐ. 10 units
ⓑ. 17.32 units
ⓒ. 20 units
ⓓ. 15 units
Correct Answer: 17.32 units
Explanation: The horizontal (x-axis) component is given by $A_x = A\cos\theta = 20 \cos 30^\circ = 20 \times 0.866 = 17.32$. The vertical component would be $A_y = 20 \sin 30^\circ = 10$.
82. A velocity vector has magnitude 25 m/s and makes an angle of $60^\circ$ with the horizontal. What is the vertical component of velocity?
ⓐ. 12.5 m/s
ⓑ. 15 m/s
ⓒ. 20 m/s
ⓓ. 21.65 m/s
Correct Answer: 21.65 m/s
Explanation: Vertical (y-axis) component is $v_y = v\sin\theta = 25 \sin 60^\circ = 25 \times 0.866 = 21.65 \, \text{m/s}$. The horizontal component would be $v_x = 25 \cos 60^\circ = 12.5 \, \text{m/s}$.
83. If a displacement vector has components $A_x = 9$ m and $A_y = 12$ m, what is its magnitude?
ⓐ. 15 m
ⓑ. 18 m
ⓒ. 20 m
ⓓ. 25 m
Correct Answer: 15 m
Explanation: Magnitude is given by $|\vec{A}| = \sqrt{A_x^2 + A_y^2} = \sqrt{9^2 + 12^2} = \sqrt{81 + 144} = \sqrt{225} = 15 \, \text{m}$. This uses the Pythagorean triplet.
84. A projectile is fired with a velocity of 50 m/s at an angle of $37^\circ$ with the horizontal. Find its horizontal component of velocity.
ⓐ. 30 m/s
ⓑ. 40 m/s
ⓒ. 25 m/s
ⓓ. 50 m/s
Correct Answer: 40 m/s
Explanation: $v_x = v\cos\theta = 50 \cos 37^\circ$. Since $\cos 37^\circ \approx 0.8$, $v_x = 50 \times 0.8 = 40 \, \text{m/s}$.
85. A vector makes an angle of $45^\circ$ with the horizontal and has a magnitude of 14 N. What is the value of its vertical component?
ⓐ. 7 N
ⓑ. 10 N
ⓒ. 9.9 N
ⓓ. 14 N
Correct Answer: 9.9 N
Explanation: Vertical component is $A_y = A\sin\theta = 14 \sin 45^\circ = 14 \times \tfrac{1}{\sqrt{2}} = 14 \times 0.707 \approx 9.9 \, \text{N}$.
86. A particle has velocity components $v_x = 15 \, \text{m/s}$ and $v_y = 20 \, \text{m/s}$. What is the resultant velocity magnitude?
ⓐ. 20 m/s
ⓑ. 25 m/s
ⓒ. 30 m/s
ⓓ. 35 m/s
Correct Answer: 25 m/s
Explanation: Magnitude is given by $v = \sqrt{v_x^2 + v_y^2} = \sqrt{15^2 + 20^2} = \sqrt{225 + 400} = \sqrt{625} = 25 \, \text{m/s}$.
87. A vector has components $A_x = 5$ and $A_y = 12$. What angle does it make with the x-axis?
ⓐ. $60^\circ$
ⓑ. $67.4^\circ$
ⓒ. $70^\circ$
ⓓ. $75^\circ$
Correct Answer: $67.4^\circ$
Explanation: Angle is given by $\theta = \tan^{-1}(A_y/A_x) = \tan^{-1}(12/5) = \tan^{-1}(2.4) \approx 67.4^\circ$. The ratio of vertical to horizontal determines the angle.
88. A football is kicked with an initial velocity of 20 m/s at $30^\circ$. What is its vertical component of velocity?
ⓐ. 5 m/s
ⓑ. 10 m/s
ⓒ. 15 m/s
ⓓ. 20 m/s
Correct Answer: 10 m/s
Explanation: $v_y = v\sin\theta = 20 \sin 30^\circ = 20 \times 0.5 = 10 \, \text{m/s}$. The horizontal component would be $v_x = 20 \cos 30^\circ = 17.32 \, \text{m/s}$.
89. If a vector $\vec{A}$ has components $A_x = 8$ and $A_y = 6$, then what is its direction angle relative to the x-axis?
ⓐ. $30^\circ$
ⓑ. $36.9^\circ$
ⓒ. $45^\circ$
ⓓ. $53.1^\circ$
Correct Answer: $36.9^\circ$
Explanation: $\theta = \tan^{-1}(A_y/A_x) = \tan^{-1}(6/8) = \tan^{-1}(0.75) \approx 36.9^\circ$. This is a common result in vector trigonometry.
90. A force of 100 N acts at an angle of $60^\circ$ with the horizontal. What is the horizontal component of this force?
ⓐ. 50 N
ⓑ. 60 N
ⓒ. 75 N
ⓓ. 100 N
Correct Answer: 50 N
Explanation: Horizontal component = $F_x = F \cos\theta = 100 \cos 60^\circ = 100 \times 0.5 = 50 \, \text{N}$. The vertical component would be $F_y = 100 \sin 60^\circ = 86.6 \, \text{N}$.
91. If a vector $\vec{A} = 4\hat{i} + 3\hat{j}$ is multiplied by a scalar 2, the new vector is:
ⓐ. $8\hat{i} + 3\hat{j}$
ⓑ. $8\hat{i} + 6\hat{j}$
ⓒ. $2\hat{i} + 1.5\hat{j}$
ⓓ. $12\hat{i} + 6\hat{j}$
Correct Answer: $8\hat{i} + 6\hat{j}$
Explanation: Scalar multiplication affects each component of the vector. Multiplying by 2 gives $(2 \times 4)\hat{i} + (2 \times 3)\hat{j} = 8\hat{i} + 6\hat{j}$. The direction remains the same, but the magnitude doubles.
92. Multiplying a vector by a scalar changes:
ⓐ. Only the magnitude of the vector
ⓑ. Only the direction of the vector
ⓒ. Both magnitude and direction in all cases
ⓓ. Neither magnitude nor direction
Correct Answer: Only the magnitude of the vector
Explanation: When a vector is multiplied by a positive scalar, its magnitude changes, but the direction remains the same. For example, multiplying a displacement vector of 5 m east by 2 gives 10 m east. Direction remains east.
93. If a displacement vector of 10 m north is multiplied by -3, the new vector is:
ⓐ. 30 m north
ⓑ. 30 m south
ⓒ. 3 m north
ⓓ. -10 m south
Correct Answer: 30 m south
Explanation: Multiplying by -3 changes the magnitude to 30 m and reverses the direction. A negative scalar flips the vector by $180^\circ$. Thus, 10 m north becomes 30 m south.
94. The scalar multiplication of a zero vector by any scalar results in:
ⓐ. A unit vector
ⓑ. The same zero vector
ⓒ. A vector of infinite magnitude
ⓓ. A vector of negative direction
Correct Answer: The same zero vector
Explanation: The zero vector has no magnitude or direction. Multiplying it by any scalar still results in zero magnitude. Hence, it remains the zero vector.
95. A velocity vector $\vec{v} = 2\hat{i} + 5\hat{j}$ m/s is multiplied by scalar 3. What is the magnitude of the new velocity vector?
ⓐ. $\sqrt{29}$ m/s
ⓑ. $3\sqrt{29}$ m/s
ⓒ. $9\sqrt{29}$ m/s
ⓓ. $\sqrt{87}$ m/s
Correct Answer: $3\sqrt{29}$ m/s
Explanation: Original magnitude = $\sqrt{2^2 + 5^2} = \sqrt{4 + 25} = \sqrt{29}$. After multiplying by 3, new magnitude = $3\sqrt{29}$. Direction remains unchanged.
96. If a force vector $\vec{F} = 6\hat{i} – 8\hat{j}$ N is multiplied by $\tfrac{1}{2}$, what is the result?
ⓐ. $3\hat{i} – 4\hat{j}$ N
ⓑ. $6\hat{i} – 8\hat{j}$ N
ⓒ. $12\hat{i} – 16\hat{j}$ N
ⓓ. $-3\hat{i} + 4\hat{j}$ N
Correct Answer: $3\hat{i} – 4\hat{j}$ N
Explanation: Multiplying each component by $\tfrac{1}{2}$:
$(6 \times \tfrac{1}{2})\hat{i} + (-8 \times \tfrac{1}{2})\hat{j} = 3\hat{i} – 4\hat{j}$. This reduces magnitude by half.
97. Multiplying a vector by a negative scalar results in:
ⓐ. No change in magnitude
ⓑ. A vector in the same direction
ⓒ. A vector in the opposite direction
ⓓ. A scalar
Correct Answer: A vector in the opposite direction
Explanation: A negative scalar reverses the direction of the vector while also scaling its magnitude. For example, $-2 \times (3\hat{i}) = -6\hat{i}$, which is opposite to the original.
98. The magnitude of a vector becomes four times its original value if it is multiplied by:
ⓐ. 2
ⓑ. 4
ⓒ. -2
ⓓ. -4
Correct Answer: 4
Explanation: Multiplying by 4 directly increases magnitude fourfold. Multiplying by -4 also increases magnitude fourfold, but reverses the direction. Hence, for magnitude alone, multiplying by 4 is correct.
99. If $\vec{A} = 7\hat{i} + 24\hat{j}$, what is the magnitude of $2\vec{A}$?
ⓐ. 25
ⓑ. 50
ⓒ. 100
ⓓ. 75
Correct Answer: 50
Explanation: Magnitude of $\vec{A} = \sqrt{7^2 + 24^2} = \sqrt{49 + 576} = \sqrt{625} = 25$. After multiplying by 2, new magnitude = $2 \times 25 = 50$.
100. Scalar multiplication of a unit vector results in:
ⓐ. A scalar quantity
ⓑ. A vector with magnitude equal to the scalar
ⓒ. A zero vector always
ⓓ. A unit vector again
Correct Answer: A vector with magnitude equal to the scalar
Explanation: A unit vector has magnitude 1. Multiplying by scalar $k$ gives a vector of magnitude $|k|$ in the same or opposite direction. For example, $5\hat{i}$ has magnitude 5, direction along positive x-axis.
Welcome to Class 11 Physics MCQs – Chapter 4: Motion in a Plane (Part 1). This page is a chapter-wise question bank for the NCERT/CBSE Class 11 Physics syllabus—built for quick revision and exam speed. Practice MCQs / objective questions / Physics quiz items with solutions and explanations, ideal for CBSE Boards, JEE Main, NEET, competitive exams, and Board exams.
These MCQs are suitable for international competitive exams—physics concepts are universal.
Navigation & pages: The full chapter has 467 MCQs in 5 parts (100+100+100+100+67). Part 1 contains 100 MCQs split across 10 pages—you’ll see 10 questions per page. Use the page numbers above to view the remaining questions.
What you will learn & practice
- Introduction to Motion in a Plane and 2D kinematics
- Scalars and Vectors; multiplication of vectors by real numbers
- Add & subtract vectors (graphical method), resolution of vectors
- Vector addition – analytical method (components, î–ĵ form)
- Motion in a Plane and motion with constant acceleration (2D)
- Relative velocity in two dimensions
- Projectile motion (range, time of flight, maximum height, trajectory)
- Uniform circular motion (speed, angular speed, centripetal acceleration)
How this practice works
- Click an option to check instantly: green dot = correct, red icon = incorrect. The Correct Answer and brief Explanation then appear.
- Use the 👁️ Eye icon to reveal the answer with explanation without guessing.
- Use the 📝 Notebook icon as a temporary workspace while reading (notes are not saved).
- Use the ⚠️ Alert icon to report a question if you find any mistake—your message reaches us instantly.
- Use the 💬 Message icon to leave a comment or start a discussion for that question.
Real value: Strictly aligned to NCERT/CBSE topics, informed by previous-year paper trends, and written with concise, exam-oriented explanations—perfect for one-mark questions, quick concept checks, and last-minute revision.
The full chapter includes 467 solved multiple-choice questions in 5 parts. This page (Part 1) gives the first 100 MCQs with answers and explanations to build your foundations. Explore more with: Class 11 Physics – Chapter Index, Class 11 – Subject Index, All Classes – MCQ Library.
- 👉 Total MCQs in this chapter: 467 (100+100+100+100+67)
- 👉 This page: first 100 multiple-choice questions with answers & brief explanations (in 10 pages)
- 👉 Best for: Boards • JEE/NEET • chapter-wise test • one-mark revision • quick Physics quiz
- 👉 Next: use the Part buttons above to continue Part 2, for the next 100 questions
FAQs on Motion in a Plane ▼
▸ What are Motion in a Plane MCQs in Class 11 Physics?
These are multiple-choice questions from Chapter 4 of NCERT Class 11 Physics – Motion in a Plane. They test important concepts like vectors, projectile motion, and uniform circular motion.
▸ How many MCQs are available in this chapter?
There are a total of 467 MCQs from Motion in a Plane. They are divided into 5 sets – four sets of 100 questions each and one set of 67 questions.
▸ Are these MCQs useful for NCERT and CBSE board exams?
Yes, these MCQs are based on NCERT/CBSE Class 11 Physics syllabus and are highly useful for CBSE and state board exams. They help in strengthening concepts and scoring better marks.
▸ Are Motion in a Plane MCQs important for JEE and NEET?
Yes, this chapter is very important for JEE and NEET. Projectile motion, relative velocity, and vector concepts are frequently tested in these competitive exams.
▸ Do these MCQs include correct answers and explanations?
Yes, every MCQ comes with the correct answer and explanations wherever required. This ensures deeper understanding of concepts rather than just rote learning.
▸ Who should practice Motion in a Plane MCQs?
These MCQs are ideal for Class 11 students, CBSE/state board exam aspirants, and candidates preparing for competitive exams like JEE, NEET, NDA, and UPSC.
▸ Can I practice these MCQs online for free?
Yes, all Motion in a Plane MCQs on GK Aim are free to practice online anytime using mobile, tablet, or desktop.
▸ Are these MCQs helpful for quick revision?
Yes, solving these MCQs regularly helps in quick revision, boosts memory retention, and improves exam performance by enhancing speed and accuracy in problem-solving.
▸ Do these MCQs cover both basic and advanced topics?
Yes, the MCQs range from basic vector operations and displacement to advanced topics like projectile motion on an inclined plane and uniform circular motion.
▸ Why are the 467 MCQs divided into 5 parts?
The MCQs are divided into 5 sets to make practice easier and structured. This allows students to cover concepts step by step and track their progress effectively.
▸ Do these MCQs cover Projectile Motion?
Yes, a major portion of the MCQs focuses on projectile motion, including time of flight, range, maximum height, and motion on inclined planes, which are crucial for exams.
▸ Are Relative Velocity questions included in these MCQs?
Yes, questions on relative velocity in two dimensions are included to strengthen problem-solving skills for JEE, NEET, and board exams.
▸ Do these MCQs include Uniform Circular Motion?
Yes, the MCQs cover uniform circular motion, centripetal acceleration, and applications like satellite motion, which are important in both NCERT syllabus and competitive exams.
▸ Can teachers and coaching institutes use these MCQs?
Yes, teachers and institutes can use these MCQs as ready-made assignments, quizzes, and practice tests for students preparing for board and competitive exams.
▸ Are these MCQs mobile-friendly?
Yes, the Motion in a Plane MCQs pages are optimized for smartphones and tablets so students can study anytime, anywhere.
▸ Can I download or save Motion in a Plane MCQs for offline study?
Yes, you can download these MCQs in PDF format for offline practice. Please visit our website shop.gkaim.com