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A bimetallic strip of thickness 2cm consists of zinc and silver riveted together. The approximate radius of curvature of the strip when heated through  500C will be(given α1,α2 are coefficients of linear expansion of zinc=32×106/C  0 and silver=19×106/C  0)

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By Expert Faculty of Sri Chaitanya
a
30.77m
b
61.54m
c
15.38m
d
7.69m
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detailed solution

Correct option is A

radius of curvature of a bimetallic strip when its temperature is changed through Δt is R=dα1~α2Δtmeter here d is strip width=2×10−2m; α1,α2 are coefficients of linear expansion of zinc=32×10−6/C  0 and silver=19×10−6/C  0; R=2×10−232×10−6−19×10−650 R=2×10−213×10−6×50 R=265×103=30.769 R=30.77m


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The coefficient of linear expansion of brass and steel are α1 and α2. If we take a brass rod of length l1 and steel rod of length l2 at 0oC, their difference in length l2l1will remain the same at all temperatures if 

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