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 α C and α B . On heating, the temperature of the strips goes up by 
T and the strip bends to form an arc of radius of curvature R. Then R is:
A
Proportional to 
T
T
B
inversely proportional to 
T
T
C
proportional to |α B – α C |
D
inversely proportional to |α B – α C |
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(b, d)
Let λ 0 be the initial length of each strip before heating.
Length after heating will be
l B = l 0 (1 + α B Δ T) = (R + d) θ and C = l 0 (1 + α C Δ T) = R θ
∴ 
∴ 
[From binomial expansion]
∴ R = 
or 
and
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