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

If 'I' is moment of inertia of a thin circular disc about an axis passing through the tangent of the disc and in the plane of disc. The moment of inertia of same circular disc about an axis perpendicular to plane and passing through its centre is

A
$$\frac{4I}{5}$$
B
$$\frac{2I}{5}$$
C
$$\frac{4I}{3}$$
D
$$\frac{2I}{3}$$
2
MHT CET 2023 10th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

Seven identical discs each of mass $$M$$ and radius $$\mathrm{R}$$ are arranged in a hexagonal plane pattern so as to touch each neighbour disc as shown in the figure. The moment of inertia of the system of seven discs about an axis passing through the centre of central disc and normal to the plane of all discs is

A
$$\frac{7}{2} \mathrm{~MR}^2$$
B
$$\frac{13}{2} \mathrm{~MR}^2$$
C
$$\frac{29}{2} \mathrm{~MR}^2$$
D
$$\frac{55}{2} \mathrm{~MR}^2$$
3
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
$$\frac{\mathrm{L}^2}{\mathrm{mr}^3}$$
4
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
$$\frac{\mathrm{I}}{64}$$
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