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Question

Question: The ratio of velocities at points A, B and C in vertical circular motion is <img src="https://cdn.p...

The ratio of velocities at points A, B and C in vertical circular motion is

A

1:9:251:9:25

B

1:2:31:2:3

C

1:3:51:3:5

D

1:3:51:\sqrt{3}:\sqrt{5}

Answer

1:3:51:\sqrt{3}:\sqrt{5}

Explanation

Solution

vA:vB:vc=gr:3gr:5grv_{A}:v_{B}:v_{c} = \sqrt{gr}:\sqrt{3gr}:\sqrt{5gr}

=1:3:5\mathbf{= 1:}\sqrt{\mathbf{3}}\mathbf{:}\sqrt{\mathbf{5}}