A metal rod of silver at `0^(@)C` is heated to `100^(@)C` . It's length is increased by `0.19 cm` . Coefficient of cubical expansion of the silver rod is

Options

A. `5.7xx10^(-5)//^(@)C`
B. `0.63xx10^(-5)//^(@)C`
C. `1.9xx10^(-5)//^(@)C`
D. `16.1xx10^(-5)//^(@)C`

Answer

A

Explanation

As, `DeltaL=Lalpha DeltaT rArr 0.19=100xx alpha xx100`
`rArr" " alpha= 0.19 xx10^(-4)=1.9xx10^(-5^(@))C^(-1)`
`rArr" " gamma=3alpha=5.7xx10^(-5)//^(@)C`