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Q.

Two straight metallic strips each of thickness t and length l are rivertted together. Their coefficients of linear expansions are α1 and α2 and ar. If they are heated through temperature ∆T, the bimetallic strip will bend to form an arc of radius

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a

t/α1+α2ΔT

b

t/α2−α1ΔT

c

tα1+α2ΔT

d

tα2−α1ΔT

answer is B.

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Detailed Solution

Let the angle subtended by the arc formed be θ. Thenθ=lr  or  θ=ΔLΔr=l2−l1r1−r2∴ θ=lα2−α1ΔTt  or  lr=lα2−α1ΔTtSo, r=tα2−α1ΔT
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