MHT CET 2023 9th May Morning Shift | Rotational Motion Question 27 | Physics

A solid sphere rolls without slipping on an inclined plane at an angle $$\theta$$. The ratio of total kinetic energy to its rotational kinetic energy is

$$\frac{7}{2}$$

$$\frac{5}{2}$$

$$\frac{7}{3}$$

$$\frac{5}{4}$$

MHT CET 2023 9th May Morning Shift

MCQ (Single Correct Answer)

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Two discs of same mass and same thickness (t) are made from two different materials of densities '$$d_1$$' and '$$d_2$$' respectively. The ratio of the moment of inertia $$I_1$$ to $$I_2$$ of two discs about an axis passing through the centre and perpendicular to the plane of disc is

$$\mathrm{d}_1: \mathrm{d}_2$$

$$\mathrm{d}_2: \mathrm{d}_1$$

$$1: d_1 d_2$$

$$1: \mathrm{d}_1^2 \mathrm{~d}_2$$

MHT CET 2021 24th September Evening Shift

MCQ (Single Correct Answer)

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The moment of inertia of a thin uniform rod of mass 'M' and length 'L' about an axis passing through a point at a distance $$\frac{L}{4}$$ from one of its ends and perpendicular to the length of the rod is

$$\frac{\mathrm{ML}^2}{48}$$

$$\frac{7 \mathrm{ML}^2}{48}$$

$$\frac{5 \mathrm{ML}^2}{48}$$

$$\frac{9 \mathrm{ML}^2}{48}$$

MHT CET 2021 24th September Morning Shift

MCQ (Single Correct Answer)

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Two identical particles each of mass '$$m$$' are separated by a distance '$$d$$'. The axis of rotation passes through the midpoint of '$$\mathrm{d}$$' and is perpendicular to the length $$\mathrm{d}$$. If '$$\mathrm{K}$$' is the average rotational kinetic energy of the system, then the angular frequency is

$$2 \mathrm{~d} \sqrt{\frac{\mathrm{m}}{\mathrm{K}}}$$

$$\frac{\mathrm{d}}{2} \sqrt{\frac{\mathrm{K}}{\mathrm{m}}}$$

$$\frac{2}{\mathrm{~d}} \sqrt{\frac{\mathrm{K}}{\mathrm{m}}}$$

$$\frac{d}{4} \sqrt{\frac{\mathrm{m}}{\mathrm{K}}}$$

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