MHT CET 2025 26th April Morning Shift | Rotational Motion Question 1 | Physics

A rigid body rotates about a fixed axis with variable angular velocity $(\alpha-\beta t)$ at time $t$, where $\alpha$ and $\beta$ are constants. The angle through which it rotates before it comes to rest is

$\frac{\alpha}{\beta}$

$\frac{\alpha^2}{\beta}$

$\frac{\alpha^2}{2 \beta}$

$\frac{\alpha}{2 \beta}$

MHT CET 2025 26th April Morning Shift

MCQ (Single Correct Answer)

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Moment of inertia of a solid sphere about its diameter is 'I'. It is then casted into 27 small spheres of same diameter. The moment of inertia of each small sphere about its diameter is

$\frac{1}{44}$

$\frac{\mathrm{I}}{188}$

$\frac{1}{204}$

$\frac{1}{243}$

MHT CET 2025 26th April Morning Shift

MCQ (Single Correct Answer)

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Moment of inertia of the rod about an axis passing through the centre and perpendicular to its length is ' $I_1$ '. The same rod is bent into a ring and its moment of inertia about the diameter is ' $I_2$ '. Then $I_1 / I_2$ is

$\frac{3 \pi^2}{2}$

$\frac{2 \pi^2}{3}$

$\frac{\pi^2}{3}$

$\frac{\pi^2}{9}$

MHT CET 2025 25th April Evening Shift

MCQ (Single Correct Answer)

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A bob of mass ' $m$ ' is tied by a massless string whose other end is wound on a flywheel (disc) of radius ' $R$ ' and mass ' $m$ '. When released from the rest, the bob starts falling vertically downwards. If the bob has covered a vertical distance ' $h$ ', then angular speed of wheel will be (There is no slipping between string and wheel, g - acceleration due to gravity)

$\frac{2}{\mathrm{R}} \sqrt{\frac{\mathrm{gh}}{3}}$

$\frac{1}{\mathrm{R}} \sqrt{\frac{2 \mathrm{gh}}{3}}$

$\mathrm{R} \sqrt{\frac{2 \mathrm{gh}}{3}}$

$2 R \sqrt{\frac{g h}{3}}$

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