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

Options

A. 3
B. 4
C. 1
D. 2

Answer

D

Explanation

`F_( c) = (mv_(1)^(2))/r = (2mv_(2))^(2)/(r//2) = (4mv_(2))^(2)/(r//2) = (4mv_(2)^(2))/r`
`rArr v_(1) = 2v_(2)`
`therefore n = 2`