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NEET 2001 (AIPMT) · Stationary Waves & Vibrating Strings

Stationary Waves & Vibrating Strings question from NEET 2001 (AIPMT)

Q111NEET 2001 · AIPMTMedium

Stationary Waves & Vibrating Strings

If the tension and diameter of a sonometer wire of fundamental frequency n is doubled and density is halved then its fundamental frequency will become

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Answer: (c)

$n \propto \dfrac{1}{D}\sqrt{\dfrac{T}{\rho}}$ at fixed length.
$\dfrac{n'}{n} = \dfrac{1}{2}\sqrt{\dfrac{2}{1/2}} = \dfrac{1}{2}\times 2 = 1$
So the answer is (c) n.

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