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JEE PHYSICS MCQ: WAVES

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Four wires of identical length, diameters and of the same material are stretched on a sonometre wire. If the ratio of their tensions is 1:4:9:161\mathrm{ }:\mathrm{ }4\mathrm{ }:\mathrm{ }9\mathrm{ }:\mathrm{ }16 then the ratio of their fundamental frequencies are
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Correct option: D
1:2:3:41\mathrm{ }:\mathrm{ }2\mathrm{ }:\mathrm{ }3\mathrm{ }:\mathrm{ }4
Option D (1:2:3:41\mathrm{ }:\mathrm{ }2\mathrm{ }:\mathrm{ }3\mathrm{ }:\mathrm{ }4) is correct because the fundamental frequency of a sonometer wire is directly proportional to the square root of the tension.

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