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JEE PHYSICS MCQ: WAVES

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a segment of wire vibrates with a fundamental frequency of 450  Hz450\,\,Hz under a tension of 9kgβˆ’wt9\mathrm{ }kg - wt. then tension at which the fundamental frequency of the same wire becomes 900  Hz900\,\,Hz is
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Correct option: A
36kgβˆ’wt36\mathrm{ }kg - wt
Option A (36kgβˆ’wt36\mathrm{ }kg - wt) is correct because the frequency is proportional to the square root of the tension, so doubling the frequency requires quadrupling the tension.

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