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  • 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 t

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.

Option: 1

120


Option: 2

-


Option: 3

-


Option: 4

-


Answers (1)

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\begin{aligned} & A_1=A \quad A_2=A \quad A_{e q}=A \\ & A_1^2+A_2^2+2 A_1 A_2 \cos \phi=A_{e q}^2 \\ & A^2+A^2+2 A^2 \cos \phi=A^2 \\ & 1+2 \cos \phi=0 \Rightarrow \cos \phi=-\frac{1}{2} \\ & \phi=120 \end{aligned}

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