Circular Motion Questions for NEET 2027All 29 problems — MCQs, numericals & ReNEET 2026-style reasoning, with worked solutions

✨ Practise all 29 Circular Motion Questions

Circular Motion is a high-yield part of Motion in a Plane. This is the complete set — real NEET PYQs plus ReNEET 2026-style reasoning, each with an instant worked solution.

1. Q1. A particle moves in a circle of radius 2.5 m with a constant speed of 10 m/s. Its centripetal acceleration is:
   A$25m/{\mathrm{s}}^2$B$40m/{\mathrm{s}}^2$C$4m/{\mathrm{s}}^2$D$100m/{\mathrm{s}}^2$
2. Q2. A particle completes 2 revolutions per second in a circle of radius 0.5 m. Its centripetal acceleration is:
   A$2{\pi }^{2}m/{\mathrm{s}}^2$B$4{\pi }^{2}m/{\mathrm{s}}^2$C$8{\pi }^{2}m/{\mathrm{s}}^2$D$16{\pi }^{2}m/{\mathrm{s}}^2$
3. Q3. A particle moves in a circular path of radius 20 cm with uniform angular velocity. It completes 5 revolutions in 10 seconds. What is the magnitude of its centripetal acceleration?
   A0.63 m/s²B6.28 m/s²C1.97 m/s²D3.14 m/s²
4. Q4. A particle moves along a circular path of radius 5 m with a constant speed of 10 m/s. At any instant, the angle between the velocity vector and acceleration vector of the particle is:
   A45°B0°C180°D90°
5. Q5. A particle is moving uniformly in a circular path of radius R = 4 m with time period T = 10 s. If this particle is now projected vertically upward with the same speed it had during circular motion, and it reaches a maximum height equal to the radius R of the circular path, then the centripetal acceleration of the particle during its circular motion is:
   A2π²/25 m/s²B4π²/25 m/s²C4π²/5 m/s²D2π²/5 m/s²
6. Q6. The position vector of a particle executing circular motion is r = (4 cos ωt) î + (4 sin ωt) ĵ, where ω = 3 rad/s. At t = π/6 seconds, what is the magnitude of the velocity of the particle?
   A7 m/sB4 m/sC12 m/sD3 m/s
7. Q7. A particle executes uniform circular motion in a horizontal circle of radius 7 m. The particle takes 14 s to complete one revolution. When the same particle is projected as a projectile with the same speed at angle α from the horizontal, the speed at its maximum height is equal to half its initial speed. The angle of projection α is:
   A75°B60°C30°D45°
8. Q8. A particle moves in a circular path of radius 5 m with uniform speed, completing one revolution in 10 s. If this particle is then projected from ground level with the same speed at an angle θ to the horizontal, it reaches a maximum height of 0.25 m. The angle of projection θ is given by:
   Aθ = sin⁻¹(√(g/10π²))Bθ = sin⁻¹(√(π²/10))Cθ = sin⁻¹(√(g/(2π²)))Dθ = cos⁻¹(√(π²/10))
9. Q9. Two particles move in circles of radii $r$ and $2r$ with the same speed $v$. The ratio of their centripetal accelerations is:
   A$1:1$B$4:1$C$2:1$D$1:2$
10. Q10. Three particles move in circles with (speed, radius) = $(v,r)$, $(2v,2r)$ and $(3v,3r)$. The order of their centripetal accelerations (smallest to largest) is:
    A$a_2>a_3>a_1$B$a_1<a_2<a_3$C$a_1=a_2=a_3$D$a_1>a_2>a_3$
11. Q11. A particle moves in a circle with constant speed. Which statement about its acceleration is correct?
    Azero, because the speed is constantBnon-zero, directed along the velocityCnon-zero, directed away from the centreDnon-zero, directed toward the centre
12. Q12. Two points on a rotating rigid disc are at distances $r$ and $3r$ from the axis. Comparing the outer point with the inner point:
    Aouter $\omega$ is $3\times$ the inner $\omega$Bboth points have the same linear speedCsame $\omega$; outer $v$ is $3\times$ inner $v$Dthe inner point has the larger linear speed
13. Q13. Two particles move on circles of the SAME radius with frequencies $f$ and $3f$. The ratio of their linear speeds is:
    A$1:9$B$1:1$C$1:3$D$3:1$
14. Q14. Two particles move in circles of the same radius with time periods $T$ and $2T$. The ratio of their centripetal accelerations is:
    A$1:2$B$4:1$C$1:4$D$2:1$
15. Q15. For a particle in uniform circular motion, the linear speed $v$ and angular speed $\omega$ are related by:
    A$v=\frac{\omega }{r}$B$v=\omega r^2$C$v=\frac{r}{\omega }$D$v=\omega r$
16. Q16. A particle moves in a circle of radius $2\text{m}$ with a time period of $2\text{s}$. Its linear speed is:
    A$2\pi {\text{m s}}^{-1}$B$\pi {\text{m s}}^{-1}$C$4\pi {\text{m s}}^{-1}$D$\frac{\pi }{2}{\text{m s}}^{-1}$
17. Q17. A particle moves in a circle of radius $5\text{m}$ with constant speed $10{\text{m s}}^{-1}$. Its centripetal acceleration is:
    A$50{\text{m s}}^{-2}$B$100{\text{m s}}^{-2}$C$20{\text{m s}}^{-2}$D$2{\text{m s}}^{-2}$
18. Q18. Two particles move in uniform circular motion with the same centripetal acceleration. If the radius of the first particle's circle is twice that of the second, the ratio of their time periods $T_1:T_2$ is:
    A$2:1$B$4:1$C$1:\sqrt{2}$D$\sqrt{2}:1$
19. Q19. A stone tied to a string is whirled in a horizontal circle at a steady rate. Over a general time interval, the change in its speed and the change in its velocity are, respectively:
    Anon-zero and zeroBnon-zero and non-zeroCzero and zeroDzero and non-zero
20. Q20. A car goes round a circular track at a steady speed. Over a very short time interval, the direction of the change in its velocity, $\Delta \vec{v}$, points:
    Atoward the centre of the circleBalong the direction of motionCaway from the centre of the circleDvertically, out of the plane of the track
21. Q21. A cyclist rounds a bend at a steady speed $v$, and in doing so the direction of motion turns through $120^{\circ }$. The magnitude of the change in the velocity between the start and end of the bend is:
    A$v\sqrt{2}$B$v$C$v\sqrt{3}$D$2v$
22. Q22. A point on the rim of a wheel of radius $r$ moves at constant speed $v$. As the point sweeps out one half of the circle (a semicircular arc), the magnitude of its average acceleration over that arc is:
    A$\frac{v^2}{r}$B$\frac{2v^2}{\pi r}$C$\frac{\pi v^2}{2r}$D$\frac{v^2}{\pi r}$
23. Q23. Which of the following statements regarding uniform circular motion is INCORRECT?
    AIn uniform circular motion, the centripetal acceleration is a constant vector.BIn uniform circular motion, the acceleration of an object is always directed towards the centre of the circle.CIn uniform circular motion, the magnitude of the centripetal acceleration is constant.DIn uniform circular motion, the velocity of the object is changing continuously in direction.
24. Q24. Which of the following is necessary for a body to perform uniform circular motion?
    AA constant force acting in the direction of motionBA force of constant magnitude always directed towards the centreCA force that increases in magnitude with speedDNo force at all
25. Q25. If the speed of a particle in uniform circular motion is doubled while the radius of the circle is kept the same, its centripetal acceleration becomes:
    AHalfBTwo timesCFour timesDUnchanged
26. Q26. A particle moving in uniform circular motion is said to be in accelerated motion because:
    AIts speed changes continuouslyBThe direction of its velocity changes continuouslyCBoth its speed and direction changeDNo net force acts on it
27. Q27. For a particle in uniform circular motion, the angle between its instantaneous velocity and its centripetal acceleration is:
    A$0^{\circ }$B$45^{\circ }$C$90^{\circ }$D$180^{\circ }$
28. Q28. Which of the following quantities remains constant for a particle in uniform circular motion?
    AVelocityBSpeedCAccelerationDMomentum
29. Q29. In uniform circular motion, the centripetal acceleration of the particle is always directed:
    AAlong the direction of motion (tangent)BOpposite to the direction of motionCTowards the centre of the circleDAway from the centre of the circle