The graph of elongation of rod of a substance A with temperature rise is shown if Fig. A liquid B contained in a cylindrical cessel made up of substance A, graduated in millilitres at `0^@C` is heated gradually. The readings of the liquid level in the vessel corresponding to different temperatures are shown in the figure. the real volume expansivity of liquid is

Options

A. `2.7xx10^(-5)//^@C`
B. `15.4xx10^(-5)//^@C`
C. `16.2xx10^(-5)//^@C`
D. `151.2xx10^(-5)//^@C`

Answer

C

Explanation

From Fig. (a) the slope of line is
`(DeltaL)/(DeltaT)=((1002.2-1000.0)mm)/((300-0)^@C)`
`=4xx10^-6(m)//^@C`
But `(DeltaL)/(DeltaT)=Lalpha`
`alpha=(4xx10^-6)/(1m)(m//^@C)`
`4xx10^(-6)//^@C`