The dimensions of four wires of the same material an given below. In which wire the increase in the length will be maximum?

Options

A. Length `100 cm`, diameter `1 mm`
B. Length `200 cm`, diameter `2 mm`
C. Length `300 cm`, diameter `3 mm`
D. Length `50 cm`, diameter `0.5 mm`

Answer

D

Explanation

`Y=(F/a)/(/_\l//l)=(Fl)/(a/_\l)` or `/_\lprop1/D^(2)`
a. `100/(l^(2))=100` b. `200/4=50`
c. `300/9=33.33` d. `50/((1/2)^(2))=200`