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Questions  

A mass m is revolving in a vertical circle at the end of a string of length 20 cm. By how much does the tension of the string at the lowest point exceed the tension at the top most point?

a
2 mg
b
4 mg
c
6 mg
d
8 mg

detailed solution

Correct option is C

The tension T1 at the topmost point is given byT1=mv1220−mgCentrifugal force acting outward while weight acting downward.The tension T2 at the lowest pointT2=mv2220+mgcentrifugal force and weight (both) acting downwardT2−T1=mv22−mv1220+2mgv12=v22−2gh or  v22−v12=2g(40)=80g∴ T2−T1=80mg20+2mg=6mg

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