QJEEM23Ph8254: JEE Main 2023 Physics - Class 11 JEEM23Ph8254 Solution: The displacement equations of two interfering waves are given…

Question

Verified Solution • 2025–26 Session moderate

The displacement equations of two interfering waves are given by

y_{1}=10 \sin \left(\omega t+\frac{\pi}{3}\right) \mathrm{cm}, y_{2}=5[\sin \omega t+\sqrt{3} \cos \omega t] \mathrm{cm}

respectively.

The amplitude of the resultant wave is _______

\mathrm{cm}

.

Accepted Answer

Given,

y_{1}=10 \sin \left(\omega t+\frac{\pi}{3}\right) \mathrm{cm}

and

y_{2}=5(\sin \omega t+\sqrt{3} \cos \omega t)

=10 \sin \left(\omega t+\frac{\pi}{3}\right)

Thus the phase difference between the waves is 0 .

\text { so } A=A_{1}+A_{2}=20 \mathrm{~cm}

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