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
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a
αA=3×10−6/∘C,500∘C
b
αA=3×10−6/∘C,222.22∘C
c
αA=27×10−6/∘C,500∘C
d
αA=27×10−6/∘C,222.22∘C
answer is D.
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Detailed Solution
Slope of the line A=1006−1000T=ΔLΔT6T=1000mmaA……(1)similarly for B line 2T=1002mm aB……(2)From(1)&(2)aA=3aB