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Q.

A bimetallic strip is formed out of two identical strips  one of copper and the other of brass. The coefficients of linear expansion of the two metals are αC and αB. On  heating, the temperature of the strip goes up by ∆Tand the strip bends to form an arc of radius of curvature R. Then R is

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a

proportional to ∆T

b

inversely proportional to ∆T

c

proportional to αB−αC

d

inversely proportional to αB−αC

answer is A.

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Detailed Solution

From figure, R+t2θ=l01+αCΔT              .....(1)and             R−t2θ=l01+αBΔT               ....(2)Dividing eq. (2) by eq. (1), we 8etR+t2R−t2=1+αCΔT1+αBΔTSolving this equation and neglecting t2αCΔT and t2αBΔT, We get R=tαC−αBΔT∴ R∝1ΔT  and  F∝1αB−αC
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