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Practice Test - 1

Welcome to your PHY SET- 6

1. 
Body in uniform circular motion: which is true?

2. 
Angle between vectors A = 2i + 3j + k and B = –3i + 6k?

3. 
Two same-mass balls, one projected vertically, other at 60° to vertical. Ratio of P.E. at highest point?

4. 
Velocity vector of projectile makes angle with horizontal after t seconds?

5. 
Same speed, one ball thrown vertically up, other at 60° to vertical. P.E. ratio?

6. 
Ball B at 15° to horizontal. A covers same horizontal distance. Find angle of A.

7. 
r⃗ = ω cos t î + ω sin t ĵ ⇒ nature of motion?

8. 
u increases by 2%, effect on max height?

9. 
Two forces of magnitude P give resultant of same magnitude P ⇒ angle between?

10. 
Two angles give same projectile range R. If t₁ and t₂ are flight times, then?

11. 
Circular motion: which is true?

12. 
What is the value of (A × B) ⋅ B when the angle between vectors A and B is θ?

13. 
Which of these does not depend on coordinate system?

14. 
If the sum of two unit vectors is a unit vector, then what is the magnitude of A – B?

15. 
Aircraft 3400 m above ground, seen 10s apart at 30° angle ⇒ speed?

16. 
Projectile from base of 30° inclined plane hits it normally ⇒ angle of projection?

17. 
Vector relation from diagram: S on R; PS = b ⇒ general form?

18. 
Projectile at 45° after 1s, horizontal after 2s ⇒ initial velocity and angle?

19. 
Projectile: max range = 400 m. If horizontal range is 200 m, find angle of projection.

20. 
Position vector = i + 2j; velocity vector = 2i – j. Find angular momentum.

21. 
Condition for a vector perpendicular to both A and B.

22. 
Which statement is false about projectile motion?

23. 
Which remains constant in uniform circular motion?

24. 
Range R and time T of projectile. Max height = ?

25. 
Work done by centripetal force in full circle?

26. 
Scalar triple product gives...

27. 
Two equal forces at 60° produce resultant of magnitude √3F ⇒ angle between them?

28. 
Which gives maximum result?

29. 
Initial velocity = u, thrown at angle θ, time to top = ?

30. 
Range R = 80 m, max height H = 20 m ⇒ time of flight?

31. 
At top of trajectory, projectile’s velocity is...

32. 
i and j are unit vectors. What is the magnitude of i + j?

33. 
Scalar product of two vectors gives...

34. 
Angle between two vectors with unit magnitude and resultant also unit?

35. 
Range of projectile with same KE but mass m and 2m; compare ranges.

36. 
A = 2i + 3j; B = i + 2j ⇒ A × B = ?

37. 
Angle between vectors A = 3i + 4j and B = 4i – 3j?

38. 
Which of these is not a vector quantity?

39. 
Which pair gives scalar result?

40. 
In vector notation, A ⊥ B if...

41. 
If vector A = 2i + 3j and B = i – j, find A · B

42. 
Which of the following is not true?

43. 
Work done = 20 J, displacement = 4 m ⇒ force = ? (along same line)

44. 
Velocity of object at highest point in projectile motion?

45. 
What is vector quantity among the following?