AIIMS2017Physics-Rotational Motion

AIIMS 2017 Physics Centrifugal Force MCQ Question

Type: MCQ-conceptual-Medium-Class 11

A liquid of mass M is filled in a container of length L and rotated with an angular velocity ω. The force exerted by the liquid at the other end

A

1/2 Mω²L²

B

Mω²L

C

1/4 Mω²L

D

1/2 Mω²L

Correct Answer

Option B

Detailed Explanation

When a liquid of mass MM is rotated in a container with angular velocity ω\omega, the centripetal force acting on the liquid at the far end is given by F=MaF = M \cdot a, where aa is the centripetal acceleration a=ω2La = \omega^2 L. Therefore, the force exerted by the liquid at the other end is F=Mω2LF = M \omega^2 L, which corresponds to option (B).

Options (A) and (C) are incorrect as they introduce unnecessary factors that do not align with the direct relationship between mass, angular velocity, and distance in this scenario. Option (D) is a repetition of (A) and also incorrect for the same reason.

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