The variation of length of two metal rods A and B with change in temperature is shown in Fig. the coefficient of linear expansion `alpha_A` for the metal A and the temperature T will be? ( alpha_(A)=3x10^(-6)/ C )

Options

A. `alpha_(A)=3xx10^(-6)//^(@)C,500^(@)C`
B. `alpha_(A)=3xx10^(-6)//^(@)C,222.22^(@)C`
C. `alpha_(A)=27xx10^(-6)//^(@)C,500^(@)C`
D. `alpha_(A)=27xx10^(-6)//^(@)C,222 22^(@)C`

Answer

D

Explanation

For rod B : `1004=1002(1+(9xx10^(-6))T)rArrT=(2000)/(9)K`
For rod A: `1006=1000(1+alpha_(A)T)rArralpha_(A)=27xx10^(-6)//^(@)C`