Work done in stretching a wire through 1 m m is 2 J . What amount of work will be done for elongating another wire of same material, with half the length and double the radius of cross section, by 1 m m ?

Question

Work done in stretching a wire through 1 m m is 2 J . What amount of work will be done for elongating another wire of same material, with half the length and double the radius of cross section, by 1 m m ?, 2 J, 4 J, 8 J, 16 J

MARKS App · Accepted Answer

k = Y A l ∵ ω = 1 2 k x 2 2 = 1 2 Y π R 2 L 1 m m 2 (1) ω 1 = 1 2 Y π 2 R 2 L 2 1 m m 2 …(2) Equation (2) ÷ (1) ω 1 2 = 8 ⇒ ω ' = 16

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