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NEET UG PHYSICS MCQ: MECHANICAL PROPERTIES OF SOLIDS

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A wire is stretched 1mm1\mathrm{ }mm by a force of 1kN1\mathrm{ }k\mathrm{ }N. How far would a wire of the same material and length but of four times that diameter be stretched by the same force ?
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Correct option: D
116  mm\frac{1}{{16}}\,\,\mathrm{mm}
Option D (116 mm\frac{1}{{16}}\,\mathrm{mm}) is correct because the elongation is inversely proportional to the square of the diameter, so quadrupling the diameter reduces the elongation by a factor of 16.

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