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Q.

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=32×10−6/C  0 and silver=19×10−6/C  0)

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a

30.77m

b

61.54m

c

15.38m

d

7.69m

answer is A.

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Detailed Solution

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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