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Q.

A stone of mass 1 kg tied to a light inextensible string of length L = 10/3 m 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 tension is 4 and if g is taken to be 10 ms-2, the speed of the stone at the highest point of the circle is

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a

10 ms-1

b

53 ms−1

c

103 ms−1

d

20 ms-1

answer is A.

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Detailed Solution

m = 1 kg ⇒L=103m⇒TmaxTmin=4Tmin=mvH2K−mg, Tmax=mvL2/L+mg=m(vH2+4gL)L+mgmvH2+4gLL+g=4×mvH2L−g⇒vH=3gL=10 ms−1

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