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