A horizontal tube, open at both ends, contains a column of liquid. The length of this liquid column does not change with temperature. Let `gamma` : coefficient of volume expansion of the liquid and `alpha` : coefficient of linear expansion of the material of the tube

Options

A. `gamma=alpha`
B. `gamma=2alpha`
C. `gamma=3alpha`
D. `gamma=0`

Answer

B

Explanation

`V_(1)=A_(1)l`... (i)
`V_(1)(1+gammatheta)=A_(1)(1+2alphatheta)xxl` … (ii)
`gamma=2alpha`