Waves And Sound Question 6

Question 6 - 29 January - Shift 1

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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Answer: (120)

Solution:

$2 A \cos (\frac{\Delta \phi}{2})=A$

$\cos (\frac{\Delta \phi}{2})=\frac{1}{2}$

$\frac{\Delta \phi}{2}=60^{\circ}$