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The variation of lengths of two metal rods A and B with change in temperature are shown in figure. The coefficients of linear expansion α_A for the metal A and the temperature T will be :
$(Given α_{B} = 9 \times 10^{- 6} /^{\circ} C)$

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αA=3×10−6/∘C,500∘C

αA=3×10−6/∘C,222.22∘C

αA=27×10−6/∘C,500∘C

αA=27×10−6/∘C,222.22∘C

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detailed solution

Correct option is D

Slope of the line A=1006−1000T=ΔLΔT6T=1000mmaA……(1)similarly for B line 2T=1002mm aB……(2)From⁡(1)&(2)aA=3aB

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The variation of lengths of two metal rods A and B with change in temperature are shown in figure. The coefficients of linear expansion αA for the metal A and the temperature T will be : (Given αB=9×10−6/∘C

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

The variation of lengths of two metal rods A and B with change in temperature are shown in figure. The coefficients of linear expansion α_A for the metal A and the temperature T will be :
$(Given α_{B} = 9 \times 10^{- 6} /^{\circ} C)$