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Q.

Two stones of masses m and 2 m are whirled in horizontal circles, the heavier one in a radius r2 and the lighter one in radius r. The tangential speed of lighter stone is n times that of the value of heavier stone when they experience same centripetal forces. The value of n is

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a

4

b

1

c

2

d

3

answer is C.

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Detailed Solution

Let ν be tangential speed of heavier stone. Then, Centripetal force experienced by lighter stone isFclighter =m(nv)2rand that of heavier stone is Fcheavier =2mv2(r/2) But Fclighter =Fcheavier    (given) ∴  m(nv)2r=2mv2(r/2)n2mv2r=4mv2rn2=4 or n=2
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Two stones of masses m and 2 m are whirled in horizontal circles, the heavier one in a radius r2 and the lighter one in radius r. The tangential speed of lighter stone is n times that of the value of heavier stone when they experience same centripetal forces. The value of n is