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A mass 2 kg is whirled in a horizontal c...

A mass 2 kg is whirled in a horizontal circle by means of a string at an initial speed of 5 revolutions per minute . Keeping the radius constant the tension in the string is doubled. The new speed is nearly

A

`(5)/(sqrt2)`rpm

B

10 rpm

C

`10sqrt2`rpm

D

`5sqrt2`rpm

Text Solution

Verified by Experts

The correct Answer is:
D
Tension in the string, `T=momega^(2)r=4pi^(2)n^(2)mr`
`therefore" "Tpropn^(2)rArr(n_(2))/(n_(1))=sqrt((T_(2))/(T_(1)))`
`therefore" "n_(2)=5sqrt((2T)/(T))=5sqrt2"rpm"`
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