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To describe a verctical of radius 20 c...

To describe a verctical of radius 20 cm , the minimum speed of a paruticle at the lowest point of the circle is 10 cm/s . If the radius of the circle is redduced to 1/4 of its original value ,. Then the corresponding minimum speed will be

A

2.5 cm/s

B

5 cm/s

C

7.5 cm/s

D

10 cm/s

Text Solution

Verified by Experts

The correct Answer is:
B
`V_(min ) = sqrt( 5 g r)`
` (V_(2))/(V_(1)) = ( sqrt((r_(2))/( r_(1))) )= (1)/(2) " " therefore V_(2) = 5 cm //s `
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