Select Chapter Topics:
Q. No.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.
\((A)\)
\((B)\)
\((C)\)
\((D)\)
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:
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
Hints
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
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 |
62%
Level 2: 60%+
NEET - 2024
Hints
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 radius of gyration of a solid sphere of mass \(5~\text{kg}\) about \(XY \text- \text{axis}\) is \(5~\text m\) as shown in the figure. If the radius of the sphere is \(\frac{5x}{\sqrt{7}}~\text m,\) then the value of \(x\) is:
| 1. | \(5\) | 2. | \(\sqrt{2}\) |
| 3. | \(\sqrt{3}\) | 4. | \(\sqrt{5}\) |
Subtopic: Moment of Inertia |
73%
Level 2: 60%+
NEET - 2024
Hints
Let \(\omega_{1},\omega_{2}\) and \(\omega_{3}\) be the angular speeds of the second hand, minute hand, and hour hand of a smoothly running analog clock, respectively. If \(x_{1},x_{2}\) and \(x_{3}\) are their respective angular distance in \(1~\text{minute},\) then the factor that remains constant \((k)\) is:
| 1. | \(\dfrac{\omega_1}{x_1}=\dfrac{\omega_2}{x_2}=\dfrac{\omega_3}{x_3}={k}\) |
| 2. | \(\omega_{1}x_{1}=\omega_{2}x_{2}=\omega_{3}x_{3}={k}\) |
| 3. | \(\omega_{1}x_{1}^{2}=\omega_{2}x_{2}^{2}=\omega_{3}x_{3}^{2}={k}\) |
| 4. | \(\omega_{1}^{2}x_{1}=\omega_{2}^{2}x_{2}=\omega_{3}^{2}x_{3}={k}\) |
Subtopic: Rotational Motion: Kinematics |
55%
Level 3: 35%-60%
NEET - 2024
Hints
A uniform rod of mass \(20~\text{kg}\) and length \(5\text{ m}\) leans against a smooth vertical wall making an angle of \(60^{\circ}\) with it. The other end rests on a rough horizontal floor. The friction force that the floor exerts on the rod is: (take \(g=10~\text{m/s}^2\) )
| 1. | \(200 ~\text{N}\) | 2. | \(200 \sqrt{3} ~\text{N}\) |
| 3. | \(100 ~\text{N}\) | 4. | \(100 \sqrt{3} ~\text{N}\) |
Subtopic: Torque |
Level 3: 35%-60%
NEET - 2025
Please attempt this question first.
Hints
Please attempt this question first.
The sun rotates around its centre once in \(27\) days. What will be the period of revolution if the sun were to expand to twice its present radius without any external influence? Assume the sun to be a sphere of uniform density.
| 1. | \(115\) days | 2. | \(108\) days |
| 3. | \(100\) days | 4. | \(105\) days |
Subtopic: Angular Momentum |
61%
Level 2: 60%+
NEET - 2025
Please attempt this question first.
Hints
Please attempt this question first.
A sphere of radius \(R\) is cut from a larger solid sphere of radius \(2R\) as shown in the figure. The ratio of the moment of inertia of the smaller sphere to that of the rest part of the sphere about the \(Y\)-axis is:
| 1. | \(\dfrac{7}{57}\) | 2. | \(\dfrac{7}{64}\) |
| 3. | \(\dfrac{7}{8}\) | 4. | \(\dfrac{7}{40}\) |
Subtopic: Moment of Inertia |
Level 3: 35%-60%
NEET - 2025
Please attempt this question first.
Hints
Please attempt this question first.
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
Select Chapter Topics:
© 2026 GoodEd Technologies Pvt. Ltd.