AP EAMCET · PHYSICS · Waves and Sound
Two sound waves of wavelengths 99 cm and 100 cm produce 10 beats in a time of t seconds. If the speed of sound in air is \(330 \mathrm{~m} \mathrm{~s}^{-1}\), then the value of t in seconds is
- A \(12\)
- B \(9\)
- C \(6\)
- D \(3\)
Answer & Solution
Correct Answer
(D) \(3\)
Step-by-step Solution
Detailed explanation
\( f_1 = \frac{v}{\lambda_1} = \frac{330}{0.99} = \frac{1000}{3} \mathrm{~Hz} \) \( f_2 = \frac{v}{\lambda_2} = \frac{330}{1.00} = 330 \mathrm{~Hz} \) \( f_{beat} = |f_1 - f_2| = |\frac{1000}{3} - 330| = \frac{10}{3} \mathrm{~Hz} \)…
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