1
MHT CET 2023 11th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

Two bodies have their moments of inertia I and 2I respectively about their axis of rotation. If their kinetic energies of rotation are equal, their angular momenta will be in the ratio

A
$$1: 2$$
B
$$\sqrt{2}: 1$$
C
$$2: 1$$
D
$$1: \sqrt{2}$$
2
MHT CET 2023 11th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

From a disc of mass '$$M$$' and radius '$$R$$', a circular hole of diameter '$$R$$' is cut whose rim passes through the centre. The moment of inertia of the remaining part of the disc about perpendicular axis passing through the centre is

A
$$\frac{13 \mathrm{MR}^2}{32}$$
B
$$\frac{11 \mathrm{MR}^2}{32}$$
C
$$\frac{9 \mathrm{MR}^2}{32}$$
D
$$\frac{7 \mathrm{MR}^2}{32}$$
3
MHT CET 2023 11th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

A particle moves along a circular path with decreasing speed. Hence

A
its resultant acceleration is towards the centre.
B
it moves in a spiral path with decreasing radius.
C
the direction of angular momentum remains constant.
D
its angular momentum remains constant
4
MHT CET 2023 11th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

Radius of gyration of a thin uniform circular disc about the axis passing through its centre and perpendicular to its plane is $$\mathrm{K}_{\mathrm{c}}$$. Radius of gyration of the same disc about a diameter of the disc is $$K_d$$. The ratio $$K_c: K_d$$ is

A
$$\sqrt{2}: 1$$
B
$$1: \sqrt{2}$$
C
$$2: 1$$
D
$$1: 4$$
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