Two wires of diameter `0.25 cm`, one made of steel and other made of brass, are loaded as shown in the figure. The unloaded length of the steel wire is `1.5 m` and that of brass is `1.0 m`. Young's modulus of steel is `2.0 xx 10^(11)`Pa and that of brass is `1.0 xx 10^(11)` Pa. Compute the ratio of elongations of steel and brass wires. `(/_\l_("steel"))/(/_\l_("brass"))=?`

Options

A. 1.25
B. 1.5
C. 2
D. 0.5

Answer

A

Explanation

`trianglel_(brass)=(6gxx1.0)/(Axx1xx10^11)`
`trianglel_(steel)=(10gxx1.5)/(Axx2xx10^11)`
`(trianglel_(steel))/(trianglel_(brass))=(10gxx1.5)/(Axx2xx10^11)xx(Axx1xx10^11)/(6gxx1.0)`
`=(15)/(12)=(5)/(4)=1.25`