Motion in a Plane Mock Test – Class 11 Physics

1. For a particle moving uniformly in a circle of radius with angular speed , the linear speed is:

2. The zero vector is different from an ordinary non-zero vector because it has:

3. A vector is written as . The coefficients and in this expression are best understood as:

4. Two bodies have velocities east and north. Their speeds are the same, but their velocities are not the same because:

5. A vector is represented by components and . The two component vectors are useful because:

6. If is the initial position vector and is the final position vector, the displacement vector is:

7. A circular-motion note says . The correction is:

8. A projectile is launched with and . Taking , the average velocity between the two instants when it is at height is:

9. A learner writes that if , then has “negative magnitude.” The better repair of this statement is:

10. A table compares component-wise motion statements.

The row that needs correction is:

11. In uniform circular motion, the magnitude of change in velocity after a quarter revolution is:

12. A body has uniform circular motion with frequency . If the frequency is doubled while the radius remains fixed, the centripetal acceleration becomes:

13. The statement for two vectors means that:

14. The row that correctly distinguishes a vector magnitude from rectangular components is:

The row that should be corrected is:

15. At , the relative position of with respect to is , and the relative velocity is . The minimum separation between and is:

16. A vector of magnitude makes an angle with the positive -axis. Its rectangular components are:

17. A circular-motion record says that and . The radius of the path is:

18. The direction angle of a vector with components and is often found using:

19. A wheel of radius rotates uniformly at . The centripetal acceleration of a point on its rim is:

20. A body moving in a plane has at one instant and at the same instant. The acceleration is:

21. A body undergoes two displacements, and . The magnitude of the net displacement is:

22. The vector , where is a non-zero vector, is:

23. A notation record contains the entries below.

The row that misreads the notation is:

24. A projectile is launched with at an angle such that and . Taking , its velocity after is:

25. Read the motion record below.

The distance travelled and the magnitude of displacement are respectively:

26. If and , then is:

27. A projectile is fired horizontally from a height. In the ideal case, its initial velocity components are:

28. Three statements about unit vectors are listed.
I. A unit vector has magnitude .
II. A unit vector is used to specify direction.
III. Every vector with magnitude must point along the positive -axis.
The supported statements are:

29. Assertion: At the highest point of an ideal projectile, the speed is not necessarily zero.
Reason: Only the vertical component of velocity becomes zero there, while the horizontal component remains unchanged.

30. The angular speed , period , and frequency in uniform circular motion are related by:

31. A wheel rotates uniformly at . The angular speed of the wheel is:

32. Use the arrangement described below: an object moves from point to point , and then from point to point . The displacement from to is , and the displacement from to is . The net displacement is:

33. A mixed error record says: “A projectile at the highest point has zero acceleration, and a body in uniform circular motion has zero acceleration because its speed is constant.” The best diagnosis is:

34. A graph description is given below.

The magnitude of the resultant is:

35. The derivation of uses a similarity argument between a small displacement triangle and a small velocity-change triangle. The key proportional relation is:

36. Match the basic plane-motion quantities with their usual SI units.

The suitable matching is:

37. A particle moves uniformly in a circle of radius and completes one revolution in . Its centripetal acceleration is:

38. A projectile is launched with and . Taking , its speed at the highest point is:

39. Two projectiles are launched on level ground with the same speed. One is fired at and the other at . The ratio of their maximum heights is:

40. A cyclist moving east at observes another cyclist moving west at . Taking east as , the velocity of the west-moving cyclist relative to the east-moving cyclist is:

41. Three statements about vector addition are listed.
I. .
II. .
III. Vector addition allows directions to be ignored if magnitudes are known.
The supported statements are:

42. A projectile has and passes through the point . Taking , its launch speed is:

43. A table gives component operations for and .

The row that contains an error is:

44. A learner states that the centripetal acceleration of a particle in uniform circular motion is constant because and are constant. The most accurate response is:

45. A particle moves anticlockwise in a circle of radius with speed . It moves from the rightmost point to the topmost point. The average acceleration vector during this motion is:

46. A student uses for two non-parallel vectors of magnitudes and . The main error is that:

47. Two particles have velocities and . The velocity of relative to is:

48. The SI unit of average acceleration in a plane is:

49. A boat must cross a wide river and land exactly opposite its starting point. The current is . If the boat takes to cross, the boat’s speed relative to water is:

50. A graph description for ideal projectile motion is given below.

The description is consistent with: