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A particle is rotated in vertical circle...

A particle is rotated in vertical circle by connecting it to string fixed. The minimum speed of the particle when the string is horizontal for which the particle will complete the circle is

A

`sqrt(gl)`

B

`sqrt(2gl)`

C

`sqrt(3gl)`

D

`sqrt(gl)`

Text Solution

Verified by Experts

The correct Answer is:
C

Minimum velocity required at top position to complete the circle is `PS = sqrt(gl)`
`implies A "to" B `, loss in KE = gain in GPE
`implies 1/2 mu^2 - 1/2 m (sqrt(gl)^2) = mgl implies u = sqrt(3 gl)`
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