JEE Mains · Physics · STD 11 - 14. waves and sound
Three harmonic waves having equal frequency \(\mathrm{v}\) and same intensity \(\mathrm{I}_{0}\), have phase angles \(0 , \frac{\pi}{4}\) and \(-\frac{\pi}{4}\) respectively. When they are superimposed the intensity of the resultant wave is close to
- A \(5.8 \mathrm{I}_{0}\)
- B \(0.2 \mathrm{I}_{0}\)
- C \(\mathrm{I}_{0}\)
- D \(3 \mathrm{I}_{0}\)
Answer & Solution
Correct Answer
(A) \(5.8 \mathrm{I}_{0}\)
Step-by-step Solution
Detailed explanation
Let amplitude of each wave is \(A.\) Resultant wave equation \(=A \sin \omega t+A \sin \left(\omega t-\frac{\pi}{4}\right)+A \sin \left(\omega t+\frac{\pi}{4}\right)\) \(=\mathrm{A} \sin \omega \mathrm{t}+\sqrt{2} \mathrm{A} \sin \omega \mathrm{t}\)…
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