1
MHT CET 2023 9th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

A disc of radius $$R$$ and thickness $$\frac{R}{6}$$ has moment of inertia I about an axis passing through its centre and perpendicular to its plane. Dise is melted and recast into a solid sphere. The moment of inertia of a sphere about its diameter is

A
$$\frac{\mathrm{I}}{5}$$
B
$$\frac{\mathrm{I}}{6}$$
C
$$\frac{\mathrm{I}}{32}$$
D
$$\frac{\mathrm{I}}{64}$$
2
MHT CET 2023 9th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

A square lamina of side '$$b$$' has same mass as a disc of radius '$$R$$' the moment of inertia of the two objects about an axis perpendicular to the plane and passing through the centre is equal. The ratio $$\frac{b}{R}$$ is

A
$$1: 1$$
B
$$\sqrt{3}: 1$$
C
$$\sqrt{6}: 1$$
D
$$1: \sqrt{3}$$
3
MHT CET 2023 9th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

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

A
$$\frac{7}{2}$$
B
$$\frac{5}{2}$$
C
$$\frac{7}{3}$$
D
$$\frac{5}{4}$$
4
MHT CET 2023 9th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

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

A
$$\mathrm{d}_1: \mathrm{d}_2$$
B
$$\mathrm{d}_2: \mathrm{d}_1$$
C
$$1: d_1 d_2$$
D
$$1: \mathrm{d}_1^2 \mathrm{~d}_2$$
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