The breaking stress of steel is `7.85 xx 10^(8) N//m^(2)` and density of steel is `7.7 xx 10^(3) kg//m^(3)`. The maximum frequency to which a string `1 m` long can be tuned is

Options

A. `15.8 Hz`
B. `158 Hz`
C. `47.4 Hz`
D. `474 Hz`

Answer

B

Explanation

Maximum frequency
`v = (1)/( 2l) sqrt((T)/( mu)) = (1)/( 2l) sqrt((T)/( A rho))`
` = (1)/(2) sqrt((7.85 xx 10^(8))/(7.7 xx 10^(3))) = 158 Hz`