Question

If two open organ pipes of length 50 cm and 51 cm sounded together produce 7 beats per second, the speed of sound is ???




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Answer 1

REFER THE IMAGE

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Answer 2

Answer:

You need to use the wave equation:

f=vλ  

In your problem, your have two different wavelengths, and hence two different frequencies. So you set up the wave equation for each:

f1=vλ1  

and

f2=vλ2  

You know  λa  and  λ2 . You need to find  v . However, you have the beat frequency, which is exactly equal to the difference of the two frequencies, i.e.

f2−f1=12  Hz

Solve, and you should get  v=306  m/s.

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Explanation: