Two wires are kept tight between the same pair of supports. The tensions in the wires are in the ratio 2 : 1, the radii are in the ratio 3 : 1 and the densities are in the ratio 1 : 2. Find the ratio of their fundamental frequencies.

Options

A. `2:3`
B. `2:4`
C. `2:5`
D. `2:6`

Answer

A

Explanation

`v=(1)/(l(3D))sqrt((2T)/(pirho)),v'=(1)/(lD)sqrt((T)/(pi(2rho)))`
`(v)/(v')=(sqrt2)/(3)xxsqrt2=(2)/(3)`