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MHT CET 2019 (3 May, Shift 1) · Young's Modulus & Elongation

Young's Modulus & Elongation question from MHT CET 2019 (3 May, Shift 1)

Q25MHT CET 2019 · 3 MAY · SHIFT 1Easy

Young's Modulus & Elongation

A wire of length $L$ and radius $r$ is rigidly fixed at one end. On stretching the other end of the wire with a force $F$ , the increase in length is $l$ . If another wire of the same material but double the length and radius is stretched with a force $2F$ , then increase in length is

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Answer: (d)

Same material: $\Delta L = \frac{FL}{\pi r^2 Y} \propto \frac{FL}{r^2}$
$\frac{\Delta L'}{l} = \frac{2F \times 2L}{(2r)^2} \cdot \frac{r^2}{FL} = \frac{4}{4} = 1$
So the answer is (d) $l$ .

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