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Question

# A stone of mass 1 kg tied to a light inextensible string of length L=103 m, whirling in a circular path in a vertical plane. The ratio of maximum tension in the string to the minimum tension in the string is 4. If g is taken to be 10 m/s2 the speed of the stone at the highest point of the circle is

A
10 m/s
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B
52 m/s
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C
103 m/s
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D
20 m/s
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Solution

## The correct option is A 10 m/sTheratiotothemamimumT2totheminimumtensionT1is−T2T1=4T2=4T1Nowthedifferencebetweenthetwo6mg;HencewehaveT2−T1=6mg∴4T1−T1=6mg3T1=6mgT1=2mgNowtensionatthetopofthecircleis−T1+mg=mv21r=mv21L2mg+mg=mv21103v21=3g103=10gv1=√10g=√10×10=10m/s

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