1
MHT CET 2023 14th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

Four identical uniform solid spheres each of same mass '$$M$$' and radius '$$R$$' are placed touching each other as shown in figure, with centres A, B, C, D. $$\mathrm{I}_{\mathrm{A}}, \mathrm{I}_{\mathrm{B}}, \mathrm{I}_{\mathrm{C}}$$ and $$\mathrm{I}_{\mathrm{D}}$$ are the moment of inertia of these spheres respectively about an axis passing through centre and perpendicular to the plane. The difference in $$\mathrm{I}_{\mathrm{A}}$$, and $$\mathrm{I}_{\mathrm{B}}$$ is

MHT CET 2023 14th May Evening Shift Physics - Rotational Motion Question 4 English

A
24 MR$$^2$$
B
32 MR$$^2$$
C
56 MR$$^2$$
D
80 MR$$^2$$
2
MHT CET 2023 14th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

A solid cylinder and a solid sphere having same mass and same radius roll down on the same inclined plane. The ratio of the acceleration of the cylinder '$$a_c$$' to that of sphere '$$a_s$$' is

A
$$\frac{11}{15}$$
B
$$\frac{13}{14}$$
C
$$\frac{15}{14}$$
D
$$\frac{14}{15}$$
3
MHT CET 2023 14th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

A mass '$$M$$' is moving with constant velocity parallel to $$\mathrm{X}$$-axis. Its angular momentum with respect to the origin is

A
constant
B
zero
C
decreasing
D
increasing
4
MHT CET 2023 14th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

A thin uniform rod of mass '$$m$$' and length '$$P$$' is suspended from one end which can oscillate in a vertical plane about the point of intersection. It is pulled to one side and then released. It passes through the equilibrium position with angular speed '$$\omega$$'. The kinetic energy while passing through mean position is

A
$$\mathrm{ml}{ }^2 \omega^2$$
B
$$\frac{\mathrm{m} l^2 \omega^2}{4}$$
C
$$\frac{\mathrm{m} l^2 \omega^2}{6}$$
D
$$\frac{\mathrm{m} \mathrm{l}^2 \omega^2}{12}$$
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