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A ball of mass 0.1 Kg. is whirled in a h...

A ball of mass 0.1 Kg. is whirled in a horizontal circle of radius 1 m . by means of a string at an initial speed of 10 R.P.M. Keeping the radius constant, the tension in the string is reduced to one quarter of its initial value. The new speed is

A

5 r.p.m

B

10 r.p.m

C

20 r.p.m

D

14 r.p.m

Text Solution

Verified by Experts

The correct Answer is:
A
`T = momega^(2)r rArr omega prop sqrt(T)`
`rArr omega_(1)/omega_(2) = sqrt(T_(1)/T_(2)) = sqrt((4T)/T) rArr omega_(2) = omega_(1)/2`
`rArr omega_(2) = 5 rpm`
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