Question

Two wires of the same material and same mass are stretched by the same force. Their lengths are in the ratio
A. `3:2`
B. `2:3`
C. `4:9`
D. `9:4`

Answer 1

Correct Answer - C
`m=alp, m` and `rho` are constants
`:. (a_(1))/(a_(2))=(l_(2))/(l_(1))=3/2`
Now, `Y=(Fl)/(a/_l)` or `/_l propl/a`
or `(/_l_(1))/(/_l_(2))=(l_(1))/(l_(2))xx(a_(2))//(a_(1))=2/3xx2/3` or `(/_l_1)/(/_l_2)=4/9`