When the arrangement consisting of a horizontal thick copper wire of length 2 L and radius 2 R , one end of which is welded to an end of another horizontal thin copper wire of length L and radius R is

Question

When the arrangement consisting of a horizontal thick copper wire of length 2 L and radius 2 R , one end of which is welded to an end of another horizontal thin copper wire of length L and radius R is stretched by applying forces at two ends. Ratio of the elongation in the thick wire to that in the thin wire at equilibrium is

TestHub · Accepted Answer

Δ ℓ = F L A Y Δ ℓ 1 Δ ℓ 2 = L 1 A 1 A 2 L 2 = 2 L π ( 2 R ) 2 × π R 2 L = 1 2

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