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Standard XII

Physics

Compression and Rarefaction

An open organ...

Question

An open organ pipe of length 20 cm in its fundamental mode resonates with string clamped at both ends and vibrating in its 2nd overtone. If length of string is 30 cm and velocity of sound is 340 m/s, then speed of travelling wave in string is

680 m/s

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340 m/s

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170 m/s

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226.6 m/s

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Solution

The correct option is C 170 m/s

$f_{1} = f_{2} \frac{v_{1}}{λ_{1}} = \frac{v_{2}}{λ_{2}} v_{1} = v_{2} \frac{λ_{1}}{λ_{2}} v_{1} = \frac{340 \times 0.2}{0.4} = 170 m / s$

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An open organ pipe of length 20 cm in its fundamental mode resonates with string clamped at both ends and vibrating in its 2nd overtone. If length of string is 30 cm and velocity of sound is 340 m/s, then speed of travelling wave in string is

The correct option is C 170 m/s f1=f2v1λ1=v2λ2v1=v2λ1λ2v1=340×0.20.4=170 m/s

The correct option is C 170 m/s

$f_{1} = f_{2} \frac{v_{1}}{λ_{1}} = \frac{v_{2}}{λ_{2}} v_{1} = v_{2} \frac{λ_{1}}{λ_{2}} v_{1} = \frac{340 \times 0.2}{0.4} = 170 m / s$