NEET Physics: comparison of linear and rotational motions Practice Questions
15 free multiple-choice questions on comparison of linear and rotational motions (Rotational Motion) for NEET Physics, each with the correct answer and a step-by-step explanation. Attempt a question, then reveal the solution to check your reasoning.
Practice thousands more NEET questions in the app →Q1. A body moving in a circle has a constant angular acceleration. This implies that its linear acceleration has a component directed towards the center, known as:
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Correct answer: D — Centripetal acceleration
When an object moves in a circle with constant angular acceleration, it experiences a centripetal acceleration directed towards the center of the circle, which is responsible for the change in direction.
Q2. If a body is rotating with a constant angular velocity, what can be concluded about its linear speed?
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Correct answer: A — The linear speed is dependent on the radius
For a rotating body, linear speed (v) is given by v = rω. If ω is constant, v depends directly on the radius (r).
Q3. Which quantity is a vector quantity for rotational motion?
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Correct answer: C — Torque
Torque (the rotational equivalent of force) is a vector quantity, indicating the direction of the rotation, whereas angular displacement and speed are scalars.
Q4. The relationship between linear acceleration (a) and angular acceleration (α) for a body undergoing pure rotational motion is given by:
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Correct answer: A — a = rα
Linear acceleration (a) is related to angular acceleration (α) by the radius (r): a = rα. This is analogous to v = rω.
Q5. If a wheel rotates through an angle of 120 degrees, what is the angular displacement in radians?
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Correct answer: A — 2π/3 radians
To convert degrees to radians, use the conversion factor π/180. Angular displacement = 120 × (π/180) = 2π/3 radians.
Q6. If the linear speed of a point on the rim of a rotating object remains constant, what must be true about its angular speed?
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Correct answer: C — It must be constant
Linear speed (v = rω) is constant. Since the radius (r) is constant, the angular speed (ω) must also remain constant.
Q7. A body undergoing pure rotational motion experiences a change in its motion described by which of the following quantities?
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Correct answer: C — Torque
The rotational equivalent of force is torque (τ), which causes a change in angular momentum.
Q8. If a particle moves along a straight line with a constant linear velocity, what is its angular acceleration?
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Correct answer: D — Zero
Linear motion along a straight line (assuming no rotation) means the angular displacement is zero, and thus the angular acceleration is zero.
Q9. If a body is rotating at a constant angular velocity, its linear velocity of a point on the rim will:
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Correct answer: A — Remain constant
Since the rotation is uniform, the linear speed (v=rω) is directly proportional to the radius (r). If ω is constant, v changes proportionally to r.
Q10. In rotational dynamics, the rotational equivalent of linear momentum is:
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Correct answer: A — Angular momentum
Angular momentum is the rotational equivalent of linear momentum, describing the rotational inertia of a body.
Q11. If a particle moves with a constant tangential velocity along a curved path, what quantity remains constant?
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Correct answer: B — Its tangential velocity.
If the tangential velocity is constant, the magnitude of the tangential velocity remains constant. The angular acceleration might be non-zero if the path curvature changes.
Q12. Which of the following physical quantities is directly related to the angular displacement of a rotating body?
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Correct answer: A — Angular velocity
Angular displacement (θ) is the rotation measured in radians or degrees, which is the fundamental measure of rotational motion. Angular velocity is the rate of change of angular displacement.
Q13. The relationship between linear velocity (v) and angular velocity (ω) for a point moving in a circle is given by:
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Correct answer: B — v = rω
Linear velocity (v) is the tangential speed, and it is related to the angular velocity (ω) and the radius (r) by the formula v = rω.
Q14. The property of a body that measures its resistance to changes in its rotational motion is known as:
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Correct answer: B — Moment of Inertia
The moment of inertia is the rotational analogue of mass and is the measure of an object's resistance to changes in its rotational motion.
Q15. The displacement of a particle rotating in a circle is known as:
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Correct answer: A — Angular displacement.
The measure of rotational motion is angular displacement (θ), which is measured in radians or degrees, not linear displacement.
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