1
MHT CET 2021 24th September Morning Shift
MCQ (Single Correct Answer)
+1
-0

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

A
$$2 \mathrm{~d} \sqrt{\frac{\mathrm{m}}{\mathrm{K}}}$$
B
$$\frac{\mathrm{d}}{2} \sqrt{\frac{\mathrm{K}}{\mathrm{m}}}$$
C
$$\frac{2}{\mathrm{~d}} \sqrt{\frac{\mathrm{K}}{\mathrm{m}}}$$
D
$$\frac{d}{4} \sqrt{\frac{\mathrm{m}}{\mathrm{K}}}$$
2
MHT CET 2021 24th September Morning Shift
MCQ (Single Correct Answer)
+1
-0

A body of mass '$$\mathrm{m}$$' and radius of gyration '$$\mathrm{K}$$' has an angular momentum $$\mathrm{L}$$. Its angular velocity is

A
$$\frac{\mathrm{K}^2}{\mathrm{~mL}}$$
B
$$\mathrm{mK}^2 \mathrm{~L}$$
C
$$\frac{\mathrm{mK}^2}{\mathrm{~L}}$$
D
$$\frac{\mathrm{L}}{\mathrm{mK}^2}$$
3
MHT CET 2021 23rd September Evening Shift
MCQ (Single Correct Answer)
+1
-0

The moment of inertia of a body about the given axis, rotating with angular velocity 1 rad/s is numerically equal to 'P' times its rotational kinetic energy. The value of 'P' is

A
$$\frac{1}{4}$$
B
$$\frac{1}{2}$$
C
2
D
1
4
MHT CET 2021 23rd September Evening Shift
MCQ (Single Correct Answer)
+1
-0

Two circular loops P and Q are made from a uniform wire. The radii of P and Q are R$$_1$$ and R$$_2$$ respectively. The momentsw of inertia about their own axis are $$\mathrm{I_P}$$ and $$\mathrm{I_Q}$$ respectively. If $$ \frac{\mathrm{I}_{\mathrm{P}}}{\mathrm{I}_Q}=\frac{1}{8}$$ then $$\mathrm{\frac{R_2}{R_1}}$$ is

A
4
B
3
C
2
D
5
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