Two vibrating string of same length, same cross section area and stretched to same tension is made of materials with densities `rho` and `2rho`. Each string is fixed at both ends If `v_0` represents the fundamental mode of vibration of the one made with density `rho` and `v_2` for another Then `v_1//v_2` is:

Options

A. `(1)/(2)`
B. `2`
C. `sqrt2`
D. `(1)/(sqrt2)`

Answer

C

Explanation

Velocity of sound is inversely proportional to the square rood of density of the medium.
i.e., `v.rho=`constant
`implies(v_1)/(v_2)=sqrt((rho_2)/(rho_1))=sqrt((2rho)/(rho))=sqrt2`