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Question

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

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

## The correct option is D 10m/secLet 'v' be the velocity at the top pointVelocity at the bottom point is =v2+2gd =v2+4grMaximum tension in string appears when the stone is at the bottom of the circle.Tmax=m(v2+4gr)r+mgMinimum tension appears in a string when the stone is at the top of the circle.Tmin=mv2r−mgTmaxTmin=v2+4grr+gv2r−g =4On solving the equation we get, v=10 m/s

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