AP EAMCET · PHYSICS · Waves and Sound
If two progressive sound waves represented by \(y_1=3 \sin 250 \pi t\) and \(y_2=2 \sin 260 \pi \mathrm{t}\) (where displacement is in metre and time is in second) superimpose, then the time interval between two successive maximum intensities is
- A 0.1 s
- B 0.4 s
- C 0.5 s
- D 0.2 s
Answer & Solution
Correct Answer
(D) 0.2 s
Step-by-step Solution
Detailed explanation
\(f_1 = \frac{250 \pi}{2 \pi} = 125 \text{ Hz}\) \(f_2 = \frac{260 \pi}{2 \pi} = 130 \text{ Hz}\) \(f_{beat} = |f_2 - f_1| = |130 - 125| = 5 \text{ Hz}\) \(T = \frac{1}{f_{beat}} = \frac{1}{5} = 0.2 \text{ s}\)
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