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Q.

Two thin metal strips, one of brass and the other of iron are fastened together parallel to each other. Thickness of each strip is 1 mm. If the strips are of equal length at 0°C . The inner radius of the arc formed by the bimetallic strip when heated to 80°C is (Coefficient of linear expansion of brass = 19×10–6/0C & of iron = 12 × 10–6/0C).

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a

3.57 m

b

2.67 m

c

3.12 m

d

4.56 m

answer is A.

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Detailed Solution

d = t1 + t2 = 1 + 1 = 2mm = 2 x 10-3mθ1 = 00C, θ2 = 800C, α1 = 19 x 10-6, α2 = 12 x 10-6Inner  radius of curvature of bimetallic strip
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