1
MHT CET 2023 10th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

A particle of mass '$$\mathrm{m}$$' is rotating along a circular path of radius '$$r$$' having angular momentum '$$L$$'. The centripetal force acting on the particle is given by

A
$$\frac{\mathrm{L}^2}{\mathrm{mr}}$$
B
$$\frac{\mathrm{L}^2}{\mathrm{mr}^2}$$
C
$$\frac{\mathrm{mL}^2}{\mathrm{r}}$$
D
$$\frac{\mathrm{L}^2}{\mathrm{mr}^3}$$
2
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
$$\frac{\mathrm{I}}{64}$$
3
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
$$1: \sqrt{3}$$
4
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
$$\frac{5}{4}$$
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