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  4. Two simple harmonic waves having equal amplitudes of 8 cm and equal frequency of 10 Hz are moving along the same direction. The resultant amplitude is also 8 cm. The phase difference between the individual waves is degree.

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Q. Two simple harmonic waves having equal amplitudes of $8\, cm$ and equal frequency of $10 \,Hz$ are moving along the same direction. The resultant amplitude is also $8\, cm$. The phase difference between the individual waves is __degree.

JEE MainJEE Main 2023Waves

Solution:

$ 2 A \cos \left(\frac{\Delta \phi}{2}\right)= A$
$ \cos \left(\frac{\Delta \phi}{2}\right)=\frac{1}{2} $
$ \frac{\Delta \phi}{2}=60^{\circ}$