Two metal wires P and Q of same length and material are stretched by same load. Yheir masses are in the ratio `m_(1):m_(2)`. The ratio of elongation of wire P to that of Q is

Options

A. `m_(1)^(2): m_(2)^(2)`
B. `m_(2)^(2): m_(1)^(2)`
C. `m_(1): m_(1)`
D. `m_(1):m_(2)`

Answer

D

Explanation

Hint and solution :
`Y= (FL)/( Al)`
`l =(FL)/(Y.A)`
`m =rho V= rhoxxA xxt`
`A mum `