MHT CET 2025 25th April Evening Shift | Rotational Motion Question 4 | Physics

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)

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

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

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

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

MHT CET 2025 25th April Evening Shift

MCQ (Single Correct Answer)

-0

A thin uniform rod of length ' $L$ ' and mass ' $M$ ' is swinging freely about a horizontal axis passing through its end. Its maximum angular speed is ' $\omega$ '. Its centre of mass rises to a maximum height of

( $\mathrm{g}=$ acceleration due gravity)

$\frac{L^2 \omega^2}{2 g}$

$\frac{\mathrm{L} \omega}{6 \mathrm{~g}}$

$\frac{\mathrm{L} \omega}{2 \mathrm{~g}}$

$\frac{\mathrm{L}^2 \omega^2}{6 \mathrm{~g}}$

MHT CET 2025 25th April Evening Shift

MCQ (Single Correct Answer)

-0

Using Bohr's quantisation condition, what is the rotational energy in the second orbit for a diatomic molecule?

( $I=$ moment of inertia of diatomic molecule and $\mathrm{h}=$ Planck's constant)

$\frac{\mathrm{h}}{2 \mathrm{I} \pi^2}$

$\frac{h^2}{2 I \pi^2}$

$\frac{\mathrm{h}^2}{2 \mathrm{I}^2 \pi^2}$

$\frac{\mathrm{h}}{2 \mathrm{I}^2 \pi}$

MHT CET 2025 25th April Evening Shift

MCQ (Single Correct Answer)

-0

The moment of inertia of a solid sphere of mass ' $m$ ' and radius ' $R$ ' about its diametric axis is ' $I$ '. Its moment of inertia about a tangent in the plane is

2.5 I

3.0 I

3.5 I

4 I

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