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One end of a horizontal thick copper wire of length 2L and radius 2R is welded to an end of another horizontal thin copper wire of length L and radius R. When the arrangement is stretched by applying forces at two ends, the ratio of the elongation in the thin wire to that in the thick wire is (a) 0.25 (b) 0.50 (c) 2.00 (d) 4.00

One end of a horizontal thick copper wire of length 2L and radius 2R is welded to an end of another horizontal  thin copper wire of length L and radius R. When the arrangement is stretched by applying forces at two ends, the ratio of the elongation in the thin wire to that in the thick wire is
(a) 0.25
(b) 0.50
(c) 2.00
(d) 4.00

Grade:upto college level

1 Answers

Navjyot Kalra
askIITians Faculty 654 Points
9 years ago
Sol :- (c) y = F/π(2R)2/∆ℓ12L = F/πR2/∆ℓ2/L
∴ ∆ℓ2 /∆ℓ1 = 2 option (c) is correct

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