Two vibrating strings of the same material but lengths L and 2L have radii 2 r and r respectively. They are strectched under the same tension. Both the strings vibrate in their fundamental modes, the one of length L with frequency `n_(1)` and the other with frequency `n_(2)`. The ratio `n_(1)//n_(2)` is given by
2
4
8
1

Options

A. 2
B. 4
C. 8
D. 1

Answer

D

Explanation

`n_1=(1)/(2 1) sqrt[[((T))/(4pir^(2)rho)])and n_2=(1)/(4 1)sqrt([(T)/(pir^(2)rho)])`