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Practice Test - 1

Welcome to your phy set -9

1. 
Angle between vectors A = i + j and B = i – j?

2. 
What is the value of (A × B) · C?

3. 
Particle moving in circle ⇒ which is always zero?

4. 
If vector A = 3i + 4j, what is its magnitude?

5. 
Displacement after one complete circle?

6. 
Which of these gives a vector output?

7. 
Vector A = i + 2j + 3k, Vector B = –i + j – k ⇒ A · B = ?

8. 
Scalar product of two perpendicular vectors is...

9. 
Velocity in projectile at highest point?

10. 
Velocity and acceleration in uniform circular motion are...

11. 
KE at highest point of projectile (neglecting air resistance)?

12. 
Displacement of body in one full circle?

13. 
When are two vectors perpendicular?

14. 
Which one is a vector?

15. 
If A · B = 0 and A × B ≠ 0 ⇒ angle between them?

16. 
If angle between A and B is 0°, then A × B = ?

17. 
Which operation gives scalar output?

18. 
Vector A = i – j, B = i + j ⇒ A · B = ?

19. 
Direction of vector A × B lies...

20. 
Value of scalar triple product A · (B × C)?

21. 
Scalar triple product gives...

22. 
Cross product of two vectors gives...

23. 
A = 2i + j, B = i + 2j ⇒ A × B = ?

24. 
Projectile from 10 m height with speed 10 m/s at 30°. At what point will it be again at height 10 m?

25. 
Person moves 30m N, 20m E, then 30√2 m SW. Displacement from start?

26. 
Average acceleration over full circle in UCM?

27. 
Two particles A & B on concentric circles R₁ and R₂, same ω, at t = π/2ω. Separation?

28. 
A = B, angle between A and B = 120°. If A + B = C, angle between A and C?

29. 
3 people at triangle corners, each moves toward next at speed V. Time to meet?

30. 
Particle hits inclined plane @ 30° with plane, v = 20 m/s. Perpendicular component at impact?

31. 
Two forces with sum = 16 N, resultant = 8 N, ⊥ to smaller force. Find forces.

32. 
Bullet just passes tower 100 m high, from 200 m away. Direction of shot?

33. 
Stone in circle of radius l, released. Direction after release?

34. 
Max speed on curved road (r = 30 m, μ = 0.4)?

35. 
Guns A & B: 1 km/s and 2 km/s. Ratio of max ground area covered?

36. 
A vector makes angle α, β, γ with X, Y, Z axes ⇒ sin²α + sin²β + sin²γ = ?

37. 
Rain appears to fall vertically to a passenger in train ⇒ actual rain angle w.r.t vertical?

38. 
Max range occurs at angle?

39. 
Two projectiles at 60° and 30° hit same range. Which is true?

40. 
Stone from height h with velocity u at angle θ above horizontal ⇒ time to reach ground?

41. 
Projectiles reach same height. What else is same?

42. 
Circular motion: Which quantity changes even if speed is constant?

43. 
If angular velocity = constant, then tangential acceleration = ?

44. 
Max height is H ⇒ velocity at max height?

45. 
A = i + j, B = i – j ⇒ A · B = ?