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 is 120.

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Detailed Solution

$\begin{array}{l} R^{2} = A_{1}^{2} + A_{2}^{2} + 2 A_{1} A_{2} \cos ϕ \\ \Rightarrow A^{2} = A^{2} + A^{2} + 2 A^{2} \cos ϕ \\ \Rightarrow \cos ϕ = \frac{- 1}{2} \\ \Rightarrow ϕ = 120^{\circ} \end{array}$

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