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 beA. `alpha_(A)=3 xx 10^(-6)//^(@)C,500^(@)C`B. `alpha_(A)=3 xx 10^(-6)//^(@)C,222.22^(@)C`C. `alpha_(A)=27 xx 10^(-6)//^(@)C,500^(@)C`D. `alpha_(A)=27xx 10^(-6)//^(@)C,222.22^(@)C`

The variation of length of two metal rods A and B with change in temp

1.	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 beA. `alpha_(A)=3 xx 10^(-6)//^(@)C,500^(@)C`B. `alpha_(A)=3 xx 10^(-6)//^(@)C,222.22^(@)C`C. `alpha_(A)=27 xx 10^(-6)//^(@)C,500^(@)C`D. `alpha_(A)=27xx 10^(-6)//^(@)C,222.22^(@)C`
Answer» Correct Answer - D Slope of line `A=((1006-1000)mm)/(T^@C)=(DeltaL)/(DeltaT)=Lalpha_A` i.e., `(6)/(T)mm//^(@)C=(1000mm)alpha_A` similary for line B `(2)/(T)mm//^(@)C=(1002mm)alpha_B` Dividing Eq. (i) by Eq. (ii) `3=(1000 alpha_A)/(1002alpha_B)approx=3alpha=3alpha_B` From Eq. (iii) `alpha_A=3xx9xx10^-6=27xx10^(-6)//^(@)C` from eq. (i) `T=(6)/(1000alpha_A)=(6xx10^6)/(1000xx27)` `=222.22^@C`

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