Questions focused on displacement, velocity, acceleration, motion in one & two dimensions, projectile motion and relative velocity. Answers are provided after each question.
Class 11 • Physics
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50 MCQsAnswer after each QSEO optimized
1. If a particle moves with constant velocity, which of the following is true?
A. Speed changes with time
B. Acceleration is constant and non-zero
C. Acceleration is zero
D. Displacement is zero
Answer: C
2. The slope of a displacement–time graph gives:
A. Acceleration
B. Velocity
C. Displacement
D. Jerk
Answer: B
3. A particle has equation of motion x = 5t^2 (x in m, t in s). Its instantaneous velocity at t = 2 s is:
A. 5 m/s
B. 10 m/s
C. 20 m/s
D. 0 m/s
Answer: B
4. Which quantity is a vector?
A. Speed
B. Distance
C. Displacement
D. Time
Answer: C
5. A car starts from rest and accelerates uniformly at 2 m/s^2. Distance covered in first 3 s is:
A. 9 m
B. 18 m
C. 27 m
D. 6 m
Answer: B
6. If velocity is given by v = 3t^2, acceleration is:
A. 3t
B. 6t
C. 9t
D. 3t^2
Answer: B
7. For projectile motion (neglecting air resistance), horizontal acceleration is:
A. g
B. 0
C. -g
D. v^2/r
Answer: B
8. A particle moves in a circle at constant speed. Which statement is true?
A. Acceleration is zero
B. Velocity is constant vector
C. Acceleration directed towards centre
D. Displacement is zero
Answer: C
9. Two-dimensional motion with constant accelerations ax and ay: the path is generally:
A. Straight line
B. Circle
C. Parabola
D. Ellipse
Answer: C
10. A stone is thrown vertically upward with speed u. Time to reach maximum height is:
A. u/g
B. 2u/g
C. u/2g
D. g/u
Answer: A
11. For uniformly accelerated motion, which equation is incorrect?
A. v = u + at
B. s = ut + 0.5at^2
C. v^2 = u^2 + 2as
D. s = vt + 0.5at^2
Answer: D
12. If displacement is given by s = 4t - t^2, at what time is velocity zero?
A. t = 0
B. t = 2 s
C. t = 4 s
D. t = 1 s
Answer: B
13. Relative velocity of A w.r.t B is zero. This implies:
A. A and B have same speed but opposite direction
B. A and B have same velocity
C. A is at rest in ground frame
D. B is moving twice as fast as A
Answer: B
14. A particle has velocity v = (3i + 4j) m/s. Its speed is:
A. 7 m/s
B. 5 m/s
C. 25 m/s
D. 1 m/s
Answer: B
15. A projectile is fired with speed u at angle θ. Horizontal range is given by:
A. (u^2 sin2θ)/g
B. (u^2 sinθ)/g
C. (u^2 cos2θ)/g
D. (2u^2 sinθ cosθ)/g
Answer: A
16. For projectile launched at 45°, the range is maximum. This is because:
A. Horizontal component is maximum
B. Vertical component is minimum
C. sin2θ is maximum at 90° so θ = 45°
D. g is minimum
Answer: C
17. Two cars moving in opposite directions have velocities 20 m/s and 30 m/s. Relative speed is:
A. 10 m/s
B. 50 m/s
C. 600 m/s
D. 0 m/s
Answer: B
18. A body starting from rest moves with constant acceleration a. Velocity after time t is:
A. at^2
B. at
C. a/t
D. at/2
Answer: B
19. The area under a velocity–time graph represents:
A. Acceleration
B. Jerk
C. Displacement
D. Speed
Answer: C
20. A stone is dropped from rest from a height h. Time to hit ground is t. If dropped from 4h, time is:
A. 2t
B. 4t
C. t/2
D. √2 t
Answer: A
21. For motion x = 10 + 2t − t^2, acceleration is:
A. −2 m/s^2
B. 2 m/s^2
C. −1 m/s^2
D. 0 m/s^2
Answer: A
22. A particle executes simple motion with position vector r(t) = (4t^2)i + (3t)j. Its acceleration vector is:
A. (8i + 3j)
B. (8i + 0j)
C. (0i + 3j)
D. (4i + 3j)
Answer: B
23. If a car covers equal displacements in equal intervals of time, its motion is:
A. Uniform acceleration
B. Uniform velocity
C. Non-uniform velocity
D. Rest
Answer: B
24. A particle starts from origin with velocity u along x-axis and acceleration a along y-axis. Its trajectory is:
A. Straight line along x
B. Straight line along y
C. Parabolic curve
D. Circular arc
Answer: C
25. A ball thrown horizontally from a cliff travels horizontally 20 m in 2 s. Its horizontal speed is:
A. 10 m/s
B. 20 m/s
C. 5 m/s
D. 40 m/s
Answer: C
26. If average velocity over interval is zero, displacement over that interval is:
A. Zero
B. Equal to distance
C. Undefined
D. Infinity
Answer: A
27. A particle moves so that its acceleration is always perpendicular to velocity. Its speed:
A. Increases
B. Decreases
C. Remains constant
D. Oscillates
Answer: C
28. Which of the following is dimensionally correct for displacement s = ut + 1/2 at^2?
A. [L]
B. [T]
C. [LT^-1]
D. [M]
Answer: A
29. A particle's velocity is given by v = 5 − 2t. At t = 3 s, the particle is:
A. Moving forward with speed 11 m/s
B. Moving forward with speed −1 m/s (i.e., reversed)
C. At rest
D. Moving with increasing speed
Answer: B
30. Two projectiles launched with same speed u at angles θ and (90° − θ) will have:
A. Different ranges
B. Same range
C. Different times of flight
D. Different maximum heights
Answer: B
31. A body moves with velocity v = at in one dimension. Its displacement in time t is:
A. 0.5 a t^2
B. a t
C. a t^2
D. 2 a t^2
Answer: A
32. Which graph represents constant acceleration?
A. Straight line in v–t graph
B. Curve in v–t graph
C. Horizontal line in v–t graph at v=0
D. Hyperbola in v–t graph
Answer: A
33. A car decelerates uniformly from 30 m/s to 10 m/s in 10 s. Average acceleration is:
A. 2 m/s^2
B. −2 m/s^2
C. 20 m/s^2
D. −20 m/s^2
Answer: B
34. A particle moves along x-axis with acceleration a = 6t (m/s^2). If initial velocity is zero, velocity at t = 2 s is:
A. 6 m/s
B. 12 m/s
C. 24 m/s
D. 4 m/s
Answer: C
35. A particle is at origin at t=0. Its velocity is v = (4t)i + (2)j. Its x-coordinate at t=2 s is:
A. 4 m
B. 8 m
C. 16 m
D. 2 m
Answer: B
36. A ball thrown upward reaches height H. If thrown with double initial speed, maximum height becomes:
A. 2H
B. 4H
C. H
D. 8H
Answer: B
37. In projectile motion, time of flight is independent of:
A. Initial speed
B. Horizontal component of velocity
C. Vertical component of velocity
D. Angle of projection
Answer: B
38. A particle moving along x-axis has equation x = 2 + 3t − t^3. Its instantaneous acceleration at t = 1 s is:
A. −6 m/s^2
B. 0 m/s^2
C. 6 m/s^2
D. −2 m/s^2
Answer: A
39. If two velocities are perpendicular, the magnitude of resultant is:
A. Sum of magnitudes
B. Difference of magnitudes
C. Square root of sum of squares
D. Product of magnitudes
Answer: C
40. A man runs around a circular track at constant speed. His displacement after one full lap is:
A. Circumference
B. Zero
C. Diameter
D. Radius
Answer: B
41. If displacement is proportional to t^3, then velocity is proportional to:
A. t^2
B. t^3
C. t
D. constant
Answer: A
42. Two stones dropped from same height, one after delay of t seconds. The difference in their times to reach ground is:
A. t
B. Less than t
C. More than t
D. Zero
Answer: B
43. The component of acceleration normal to velocity changes the:
A. Speed
B. Direction of motion
C. Mass of particle
D. Time period
Answer: B
44. A particle moves so that its position is r = (t^3)i + (2t)j. Its speed at t = 1 s is:
A. √(9+4) = √13
B. √(3^2+2^2) = √13
C. 5
D. 13
Answer: B
45. If a particle has zero average velocity over time interval, then:
A. Displacement is zero
B. Distance is zero
C. Speed is zero at all times
D. Acceleration is zero
Answer: A
46. A particle moves with simple harmonic motion (SHM). Its acceleration is proportional to:
A. Displacement and directed towards equilibrium
B. Velocity
C. Time
D. Square of displacement
Answer: A
47. A car moving at constant speed goes around a circular bend. Which is non-zero?
A. Tangential acceleration
B. Normal (centripetal) acceleration
C. Both tangential and normal zero
D. Acceleration along velocity
Answer: B
48. In relative motion, if A moves east at 5 m/s and B moves north at 12 m/s, speed of A relative to B is:
A. 13 m/s
B. √(5^2 + 12^2) m/s
C. 7 m/s
D. 17 m/s
Answer: A
49. A particle's displacement in time t is given by s = kt^n. For n = 2, acceleration varies as:
A. Constant
B. Linear in t
C. Proportional to t^0
D. Inversely with t
Answer: A
50. A particle moves with velocity described by v_x = v_0 cos(ωt) and v_y = v_0 sin(ωt). The trajectory is: