Laws of Motion - Result Question 57

57. Two stones of masses m and 2m are whirled in horizontal circles, the heavier one in 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 : [2015 RS]

(a) 3

(b) 4

(c) 1

(d) 2

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Answer:

Correct Answer: 57. (d)

Solution:

  1. (d) According to question, two stones experience same centripetal force

i.e., FC1=FC2

or, mv12r=2mv22(r/2) or, V12=4V22

So, V1=2V2 i.e., n=2



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