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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

a
t/α1+α2ΔT
b
t/α2−α1ΔT
c
tα1+α2ΔT
d
tα2−α1ΔT

detailed solution

Correct option is B

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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