MHT CET · Physics · Waves and Sound
The lengths of the two organ pipes open at both ends are 'L' and \(\left(L+L_1\right)\). If they are sounded together, the beat frequency will be ( \(\mathrm{v}=\) velocity of sound in air)
- A \(\frac{2 \mathrm{vL}_1}{\mathrm{~L}\left(\mathrm{~L}+\mathrm{L}_1\right)}\)
- B \(\frac{2 \mathrm{~L}\left(\mathrm{~L}+\mathrm{L}_1\right)}{\mathrm{vL}_1}\)
- C \(\frac{v L_1}{L\left(L+L_1\right)}\)
- D \(\frac{\mathrm{v} \mathrm{L}_1}{2 \mathrm{~L}\left(\mathrm{~L}+\mathrm{L}_1\right)}\)
Answer & Solution
Correct Answer
(D) \(\frac{\mathrm{v} \mathrm{L}_1}{2 \mathrm{~L}\left(\mathrm{~L}+\mathrm{L}_1\right)}\)
Step-by-step Solution
Detailed explanation
\(f_1 = \frac{v}{2L}\) \(f_2 = \frac{v}{2(L+L_1)}\)
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