A one metre long (both ends open) organ pipe is kept in a gas that has double the density of air at STP. Assuming the speed of sound in air at STP is <math> <mn>300</mn> <mtext> </mtext> <mi mathvariant="normal">m</mi> <mo>/</mo> <mi mathvariant="normal">s</mi> </math> <math><mtext></mtext></math> , the frequency difference between the fundamental and second harmonic of this pipe is <math> <mi mathvariant="normal">H</mi> <mi mathvariant="normal">z</mi> </math> <math></math>

V = B ? V pipe V air = B 2 ? B ? = 1 2 V pipe = V air 2 f n = ( n + 1 ) V pipe 2 l ; f 1 - f 0 = V pipe 2 l = 300 2 2 = 105.75 H z (If 2 = 1.41 ) = 106.05 H z (If 2 = 1.414 )

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Physics NCERT Exemplar Solutions Class 12th Chapter Fifteen Physics Class 11th Physics Waves

A one metre long (both ends open) organ pipe is kept in a gas that has double the density of air at STP. Assuming the speed of sound in air at STP is $300 m / s$ , the frequency difference between the fundamental and second harmonic of this pipe is $H z$

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Raj Pandey | Contributor-Level 9

a month ago

$V = \sqrt[]{\frac{B}{?}}$

$\frac{V_{pipe}}{V_{air}} = \frac{\sqrt[]{\frac{B}{2 ?}}}{\sqrt[]{\frac{B}{?}}} = \frac{1}{\sqrt[]{2}}$

$V_{pipe} = \frac{V_{air}}{\sqrt[]{2}}$

$f_{n} = \frac{(n + 1) V_{pipe}}{2 l}; f_{1} - f_{0} = \frac{V_{pipe}}{2 l} = \frac{300}{2 \sqrt[]{2}}$

$= 105.75 H z$ (If $\sqrt[]{2} = 1.41$ )

$= 106.05 H z$ (If $\sqrt[]{2} = 1.414$ )

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A one metre long (both ends open) organ pipe is kept in a gas that has double the density of air at STP. Assuming the speed of sound in air at STP is $300 m / s$ , the frequency difference between the fundamental and second harmonic of this pipe is $H z$

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A one metre long (both ends open) organ pipe is kept in a gas that has double the density of air at STP. Assuming the speed of sound in air at STP is 300 m / s , the frequency difference between the fundamental and second harmonic of this pipe is H z

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A one metre long (both ends open) organ pipe is kept in a gas that has double the density of air at STP. Assuming the speed of sound in air at STP is $300 m / s$ , the frequency difference between the fundamental and second harmonic of this pipe is $H z$