Motion in a Plane Mock Test – Class 11 Physics

1. In a rectangular coordinate frame for plane motion, the origin is used as:

2. A river is wide and flows east at . A boat has speed relative to water. If the boat heads straight north relative to water, and then instead aims to land exactly opposite the starting point, the two crossing times are respectively:

3. A body has velocity and acceleration at the same instant. These two vectors are:

4. A graph is plotted between centripetal acceleration and speed for a fixed radius . The graph is:

5. A rigid disc rotates uniformly with angular speed . Two points and are at radii and on the same radius line. The magnitude of velocity of relative to is:

6. A vector is directed below the positive -axis at an angle . Its component signs and formula pair are:

7. A displacement record is shown below.

The row that contains a sign error is:

8. A boat’s velocity relative to water is , and the river current is . The velocity of the boat relative to the bank is:

9. A graph is described below.

The graph should be:

10. A particle moves uniformly in a circle. Over a very small time interval , the arc length covered is , and the speed is . In the derivation of centripetal acceleration, the step is used because:

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

12. A projectile has trajectory , where and are in . Taking , the speed of the projectile when is:

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

14. A vector diagram shows two unequal vectors drawn from a common tail, and the completed parallelogram is slanted. The diagonal from the common tail is closer in direction to the longer vector. This happens because:

15. A projectile is launched from level ground. Its horizontal range is , and its maximum height is . Taking , its launch speed is:

16. A ball is projected horizontally from a height, and another ball is dropped from rest from the same height at the same instant. Neglecting air resistance, the two balls:

17. A force system has and . The resultant force is:

18. A table gives directions at four points of anticlockwise uniform circular motion.

The row that contains a direction error is:

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

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

21. A moving object is recorded at the same instant as and . The phrase “same instant” is important because:

22. Study the table for two vectors of fixed magnitudes and .

The row that needs correction is:

23. A particle moving uniformly in a circle of radius completes one revolution in . Using , its average speed over one revolution is:

24. A projectile has initial vertical component . Taking , its maximum height above the point of projection is:

25. Motion in a plane is best described as motion in which the position of a body changes with respect to:

26. A particle in uniform circular motion has acceleration of constant magnitude. The reason this does not make the acceleration vector constant is that:

27. The direction formula gives measured:

28. A projectile is launched with speed at above the horizontal. Taking , its horizontal range on returning to the same level is:

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

30. Three statements about equal, negative, and zero vectors are given.
I. Equal vectors must have the same magnitude and the same direction.
II. Negative vectors must have the same magnitude and opposite directions.
III. A zero vector has a definite direction along the positive -axis.
The supported statements are:

31. A path is curved on a sheet of graph paper, and the position of a small bead is marked at different times. A two-dimensional description is needed mainly because:

32. A table compares component-wise motion statements.

The row that needs correction is:

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

34. Match the circular-motion quantities with their correct descriptions.

The suitable matching is:

35. A displacement vector is east and is east. The vector is:

36. If were zero for a projectile launched with speed at angle , the path would be:

37. A point lies on the negative -axis at a distance from the origin. Its position vector is:

38. A learner compares two cases of circular motion.

The row that needs correction is:

39. Assertion: A scalar quantity can be added algebraically without considering spatial direction.
Reason: A scalar quantity has magnitude only and no direction in space.

40. A table compares formula conditions in projectile motion.

The entry that needs correction is:

41. A vector polygon has sides representing , , and in head-to-tail order. The final point lies east of the starting point on a diagram with scale . The magnitude of is:

42. An object starts from the origin with and has constant acceleration . At , its position vector is:

43. A vector has and . Its magnitude is:

44. A particle moves uniformly in a circle of radius with speed . The angular speed is:

45. A particle moves uniformly on a circle of radius at frequency . Its centripetal acceleration is:

46. A drone flies east, then north, and finally west. The magnitude and direction of its net displacement are:

47. A zero resultant can be obtained by adding two non-zero vectors only when the two vectors:

48. A report claims that two vectors of magnitudes and have a resultant of . The report is:

49. A row-based description of parallelogram addition is given.

The row that should be corrected is:

50. A projectile’s velocity at one instant is . Its speed and direction of vertical motion are: