MHT CET PYQs for Rotational motion with Solutions: Practice MHT CET Previous Year Questions

Updated 3+ months ago

Rotational motion is an important topic in the Physics section in MHT CET exam. Practising this topic will increase your score overall and make your conceptual grip on MHT CET exam stronger.

This article gives you a full set of MHT CET PYQs for Rotational motion with explanations for effective preparation. Practice of MHT CET Physics PYQs including Rotational motion questions regularly will improve accuracy, speed, and confidence in the MHT CET 2026 exam.

MHT CET PYQs for Rotational motion with Solutions

1.
Calculate the moment of inertia of a uniform circular disc of mass $M$ and radius $R$ about its diameter.
- $ \frac{1}{2}MR^2 $
- $ \frac{1}{4}MR^2 $
- $ MR^2 $
- $ \frac{3}{2}MR^2 $
View Solution
2.
A thin metal rod of mass $M$ and length $L$ is cut into 4 equal parts by cutting it perpendicular to its length. If moment of inertia of the rod about an axis passing through its centre and perpendicular to its axis is $I$, then moment of inertia of each part about the similar axis is
- $ \dfrac{I}{16} $
- $ \dfrac{I}{32} $
- $ \dfrac{I}{128} $
- $ \dfrac{I}{64} $
View Solution
3.
A cord is wound round the circumference of a wheel of radius $ r $. The axis of the wheel is horizontal and the moment of inertia about it is $ I $. A block of mass $ m $ is attached to the free end of the cord, initially at rest. When the wheel rotates and the block moves vertically downwards through distance $ h $, the angular velocity of the wheel will be
- $ \left( \frac{2gh}{I+mr} \right)^{\frac{1}{2}} $
- $ \left( \frac{2mgh}{I+mr^2} \right)^{\frac{1}{2}} $
- $ \left( \frac{2mgh}{I+2m} \right)^{\frac{1}{2}} $
- $ \left( \frac{2gh}{I+mr} \right)^{\frac{1}{2}} $
View Solution
4.
A metal rod of length $ L = 0.8 \, \text{m} $ is rotating about its center with an angular velocity $ \omega = 10 \, \text{rad/s} $. What is the linear velocity of a point on the rod at a distance $ r = 0.4 \, \text{m} $ from the center?
- $ 4 \, \text{m/s} $
- $ 8 \, \text{m/s} $
- $ 2 \, \text{m/s} $
- $ 6 \, \text{m/s} $
View Solution
5.
A thin spherical shell of radius $ 0.5 \, \text{m} $ and mass $ 2 \, \text{kg} $ is rotating about its axis of symmetry with an angular velocity of $ 10 \, \text{rad/s} $. What is its moment of inertia?
- $ 1 \, \text{kg} \cdot \text{m}^2 $
- $0.5 \, \text{kg} \cdot \text{m}^2 $
- $ 2.0 \, \text{kg} \cdot \text{m}^2 $
- $ 4.0 \, \text{kg} \cdot \text{m}^2 $
View Solution
6.
A thin wire of length $ L $ and uniform linear mass density $ m $ is bent into a circular loop. The moment of inertia of this loop about the tangential axis and in the plane of the coil is
- $ \frac{3mL^3}{16\pi^2} $
- $ \frac{3mL^3}{4\pi^2} $
- $ \frac{3mL^3}{8\pi^2} $
- $ \frac{3mL^3}{2\pi^2} $
View Solution
7.
If a unit vector is represented as $ \vec{u} = 0.4\hat{i} + 0.7\hat{j} + c\hat{k} $, then the value of $c$ is
- $ \sqrt{0.11} $
- $ \sqrt{0.25} $
- $ \sqrt{0.65} $
- $ \sqrt{0.35} $
View Solution
8.
A ceiling fan rotates about its own axis with some angular velocity. When the fan is switched off, the angular velocity becomes $(\frac{1}{4})^{th}$ of the original in time ?t? and ?n? revolutions are made in that lime. The number of revolutions made by the fan during the time interval between switch off and rest are (Angular retardation is uniform)
- $\frac{4n}{15}$
- $\frac{8n}{15}$
- $\frac{16 n}{15}$
- $\frac{32 n}{15}$
View Solution
9.
A flywheel of mass 2 kg has radius of gyration 0.5 m. If it makes 10 r.p.s., then its rotational kinetic energy will be
- $ 100\pi^2 \, \text{J} $
- $ 50\pi^2 \, \text{J} $
- $ 100\pi^2 \, \text{erg} $
- $ 50\pi^2 \, \text{erg} $
View Solution
10.
In non uniform circular motion, the ratio of tangential to radial acceleration is (r = radius of circle, $v =$ speed of the particle, $\alpha =$ angular acceleration)
- $\frac{\alpha^{2} r^{2}}{v }$
- $\frac{\alpha^{2} r}{v^2}$
- $\frac{\alpha r^{2}}{v^{2} }$
- $\frac{v^{2}}{\alpha r^{2}}$
View Solution
11.
Rate of cooling of a body is $0.2^\circ \text{C/min}$ when excess temperature is $20^\circ \text{C}$. The proportionality constant $ k $ is:
- $ 0.005 \, \text{min}^{-1} $
- $ 0.01 \, \text{min}^{-1} $
- $ 0.05 \, \text{min}^{-1} $
- $ 0.2 \, \text{min}^{-1} $
View Solution
12.
A wheel of radius $2\,\text{cm$ is at rest on the horizontal surface. A point $P$ on the circumference of the wheel is in contact with the horizontal surface. When the wheel rolls without slipping on the surface, the displacement of point $P$ after half rotation of wheel is}
- $2(\pi^2 + 2)^{1/2}$ cm
- $(\pi^2 + 2)^{1/2}$ cm
- $(\pi^2 + 4)^{1/2}$ cm
- $2(\pi^2 + 4)^{1/2}$ cm
View Solution

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MHT CET PYQs for Rotational motion with Solutions: Practice MHT CET Previous Year Questions

MHT CET PYQs for Rotational motion with Solutions

1.
Calculate the moment of inertia of a uniform circular disc of mass \(M\) and radius \(R\) about its diameter.

2.
A thin metal rod of mass \(M\) and length \(L\) is cut into 4 equal parts by cutting it perpendicular to its length. If moment of inertia of the rod about an axis passing through its centre and perpendicular to its axis is \(I\), then moment of inertia of each part about the similar axis is

4.
A metal rod of length $ L = 0.8 \, \text{m} $ is rotating about its center with an angular velocity $ \omega = 10 \, \text{rad/s} $. What is the linear velocity of a point on the rod at a distance $ r = 0.4 \, \text{m} $ from the center?

5.
A thin spherical shell of radius \( 0.5 \, \text{m} \) and mass \( 2 \, \text{kg} \) is rotating about its axis of symmetry with an angular velocity of \( 10 \, \text{rad/s} \). What is its moment of inertia?

6.
A thin wire of length \( L \) and uniform linear mass density \( m \) is bent into a circular loop. The moment of inertia of this loop about the tangential axis and in the plane of the coil is

7.
If a unit vector is represented as \( \vec{u} = 0.4\hat{i} + 0.7\hat{j} + c\hat{k} \), then the value of \(c\) is

9.
A flywheel of mass 2 kg has radius of gyration 0.5 m. If it makes 10 r.p.s., then its rotational kinetic energy will be

10.
In non uniform circular motion, the ratio of tangential to radial acceleration is (r = radius of circle, $v =$ speed of the particle, $\alpha =$ angular acceleration)

11.
Rate of cooling of a body is \(0.2^\circ \text{C/min}\) when excess temperature is \(20^\circ \text{C}\). The proportionality constant \( k \) is:

12.
A wheel of radius $2\,\text{cm$ is at rest on the horizontal surface. A point $P$ on the circumference of the wheel is in contact with the horizontal surface. When the wheel rolls without slipping on the surface, the displacement of point $P$ after half rotation of wheel is}

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MHT CET PYQs for Rotational motion with Solutions

1.Calculate the moment of inertia of a uniform circular disc of mass \(M\) and radius \(R\) about its diameter.

2.A thin metal rod of mass \(M\) and length \(L\) is cut into 4 equal parts by cutting it perpendicular to its length. If moment of inertia of the rod about an axis passing through its centre and perpendicular to its axis is \(I\), then moment of inertia of each part about the similar axis is

4.A metal rod of length $ L = 0.8 \, \text{m} $ is rotating about its center with an angular velocity $ \omega = 10 \, \text{rad/s} $. What is the linear velocity of a point on the rod at a distance $ r = 0.4 \, \text{m} $ from the center?

5.A thin spherical shell of radius \( 0.5 \, \text{m} \) and mass \( 2 \, \text{kg} \) is rotating about its axis of symmetry with an angular velocity of \( 10 \, \text{rad/s} \). What is its moment of inertia?

6.A thin wire of length \( L \) and uniform linear mass density \( m \) is bent into a circular loop. The moment of inertia of this loop about the tangential axis and in the plane of the coil is

7.If a unit vector is represented as \( \vec{u} = 0.4\hat{i} + 0.7\hat{j} + c\hat{k} \), then the value of \(c\) is

9.A flywheel of mass 2 kg has radius of gyration 0.5 m. If it makes 10 r.p.s., then its rotational kinetic energy will be

10.In non uniform circular motion, the ratio of tangential to radial acceleration is (r = radius of circle, $v =$ speed of the particle, $\alpha =$ angular acceleration)

11.Rate of cooling of a body is \(0.2^\circ \text{C/min}\) when excess temperature is \(20^\circ \text{C}\). The proportionality constant \( k \) is:

12.A wheel of radius $2\,\text{cm$ is at rest on the horizontal surface. A point $P$ on the circumference of the wheel is in contact with the horizontal surface. When the wheel rolls without slipping on the surface, the displacement of point $P$ after half rotation of wheel is}

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1.
Calculate the moment of inertia of a uniform circular disc of mass \(M\) and radius \(R\) about its diameter.

2.
A thin metal rod of mass \(M\) and length \(L\) is cut into 4 equal parts by cutting it perpendicular to its length. If moment of inertia of the rod about an axis passing through its centre and perpendicular to its axis is \(I\), then moment of inertia of each part about the similar axis is

4.
A metal rod of length $ L = 0.8 \, \text{m} $ is rotating about its center with an angular velocity $ \omega = 10 \, \text{rad/s} $. What is the linear velocity of a point on the rod at a distance $ r = 0.4 \, \text{m} $ from the center?

5.
A thin spherical shell of radius \( 0.5 \, \text{m} \) and mass \( 2 \, \text{kg} \) is rotating about its axis of symmetry with an angular velocity of \( 10 \, \text{rad/s} \). What is its moment of inertia?

6.
A thin wire of length \( L \) and uniform linear mass density \( m \) is bent into a circular loop. The moment of inertia of this loop about the tangential axis and in the plane of the coil is

7.
If a unit vector is represented as \( \vec{u} = 0.4\hat{i} + 0.7\hat{j} + c\hat{k} \), then the value of \(c\) is

9.
A flywheel of mass 2 kg has radius of gyration 0.5 m. If it makes 10 r.p.s., then its rotational kinetic energy will be

10.
In non uniform circular motion, the ratio of tangential to radial acceleration is (r = radius of circle, $v =$ speed of the particle, $\alpha =$ angular acceleration)

11.
Rate of cooling of a body is \(0.2^\circ \text{C/min}\) when excess temperature is \(20^\circ \text{C}\). The proportionality constant \( k \) is:

12.
A wheel of radius $2\,\text{cm$ is at rest on the horizontal surface. A point $P$ on the circumference of the wheel is in contact with the horizontal surface. When the wheel rolls without slipping on the surface, the displacement of point $P$ after half rotation of wheel is}