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Q. No.A wheel of a bullock cart is rolling on a level road as shown in the figure below. If its linear speed is \(v\) in the direction shown, which one of the following options is correct (\(P\) and \(Q\) are any highest and lowest points on the wheel, respectively)?
| 1. | Point \(P\) moves faster than point \(Q\). |
| 2. | Both the points \(P\) and \(Q\) move with equal speed. |
| 3. | Point \(P\) has zero speed. |
| 4. | Point \(P\) moves slower than point \(Q\). |
55%
Level 3: 35%-60%
NEET - 2024
Hints
The moment of inertia of a thin rod about an axis passing through its mid-point and perpendicular to the rod is \(2400 ~\text{g cm}^2.\) The length of the \(400~\text{g}\) rod is nearly:
1. \(17.5~\text{cm}\)
2. \(20.7~\text{cm}\)
3. \(72.0~\text{cm}\)
4. \(8.5~\text{cm}\)
1. \(17.5~\text{cm}\)
2. \(20.7~\text{cm}\)
3. \(72.0~\text{cm}\)
4. \(8.5~\text{cm}\)
Subtopic: Moment of Inertia |
63%
Level 2: 60%+
NEET - 2024
Hints
Consider a thin circular ring \((A),\) a circular disc \((B),\) a hollow cylinder \((C)\) and a solid cylinder \((D)\) of the same radii \(R\) and of the same masses.
If \(I_A, I_B, I_C \) and \(I_D\) are their moments of inertia about the axis shown, then choose the correct answer from the options given below:
 |
 |
| \((A)\) | \((B)\) |
 |
 |
| \((C)\) | \((D)\) |
| 1. | \({I}_A={I}_C~ \text{and} ~2{I}_B={I}_D\) |
| 2. | \(I_A=2 I_B~ \text{and} ~2 I_C=I_D \) |
| 3. | \(2 I_A=I_C~ \text{and} ~I_B=2 I_D\) |
| 4. | \({I}_{{A}}={I}_B={I}_C=2 {I}_{{D}}\) |
Subtopic: Moment of Inertia |
66%
Level 2: 60%+
NEET - 2024
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A body of mass \(6~\text{kg}\) is moving from its initial position \(A\) to the next position \(B\) as shown in the figure. From \(A\) to \(B\), the value of the momentum of the body is (in SI units):
1. \(24\)
2. \(12\)
3. \(8\)
4. \(6\)
1. \(24\)
2. \(12\)
3. \(8\)
4. \(6\)
Subtopic: Linear Momentum |
55%
Level 3: 35%-60%
NEET - 2024
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The ratio of the radius of gyration of a solid sphere of mass \(M\) and radius \(R\) about its own axis to the radius of gyration of the thin hollow sphere of the same mass and radius about its axis is:
1. \(5:2\)
2. \(3:5\)
3. \(5:3\)
4. \(2:5\)
1. \(5:2\)
2. \(3:5\)
3. \(5:3\)
4. \(2:5\)
Subtopic: Moment of Inertia |
69%
Level 2: 60%+
NEET - 2023
Hints
The angular acceleration of a body moving along the circumference of a circle is:
| 1. | along the axis of rotation |
| 2. | along the radius, away from the centre |
| 3. | along the radius towards the centre |
| 4. | along the tangent to its position |
Subtopic: Rotational Motion: Kinematics |
52%
Level 3: 35%-60%
NEET - 2023
Hints
Two particles \(A\) and \(B\) initially at rest, move toward each other under the mutual force of attraction. At an instance when the speed of \(A\) is \(v\) and speed of \(B\) is \(3v,\) the speed of the centre-of-mass will be:
1. \(2v\)
2. zero
3. \(v\)
4. \(4v\)
1. \(2v\)
2. zero
3. \(v\)
4. \(4v\)
Subtopic: Center of Mass |
71%
Level 2: 60%+
NEET - 2023
Hints
A constant torque of \(100~\text{N-m}\) turns a wheel of moment of inertia \(300~\text{kg-m}^2\) about an axis passing through its centre. Starting from rest, its angular velocity after \(3~\text{s} \) is:
1. \(1~\text{rad/s}\)
2. \(5~\text{rad/s}\)
3. \(10~\text{rad/s}\)
4. \(15~\text{rad/s}\)
1. \(1~\text{rad/s}\)
2. \(5~\text{rad/s}\)
3. \(10~\text{rad/s}\)
4. \(15~\text{rad/s}\)
Subtopic: Rotational Motion: Dynamics |
81%
Level 1: 80%+
NEET - 2023
Hints
Two objects of mass \(10~ \text {kg}\) and \(20~ \text{kg}\) respectively are connected to the two ends of a rigid rod of length \(10~ \text m\) with negligible mass. The distance of the center of mass of the system from the \(10 ~ \text{kg}\) mass is:
| 1. | \(5~ \text m\) | 2. | \(\dfrac{10}{3} \mathrm{~m}\) |
| 3. | \(\dfrac{20}{3} \mathrm{~m}\) | 4. | \(10~ \text m\) |
Subtopic: Center of Mass |
76%
Level 2: 60%+
NEET - 2022
Hints
The angular speed of a flywheel moving with uniform angular acceleration changes from \(1200\) rpm to \(3120\) rpm in \(16\) s. The angular acceleration in rad/s² is:
| 1. | \(104 \pi\) | 2. | \(2\pi\) |
| 3. | \(4\pi\) | 4. | \(12\pi\) |
Subtopic: Rotational Motion: Kinematics |
75%
Level 2: 60%+
NEET - 2022
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