Two waves executing simple harmonic motions travelling in the same direction with same amplitude and frequency are superimposed. The resultant amplitude is equal to the $\sqrt3$ times of amplitude of individual motions. The phase difference between the two motions is ___________ (degree).
Answer (integer)
60
Solution
<p>${A_{net}} = \sqrt {A_1^2 + A_2^2 + 2{A_1}{A_2}\cos \phi }$</p>
<p>$\sqrt 3 A = \sqrt {{A^2} + {A^2} + 2{A^2}\cos \phi }$</p>
<p>$3{A^2} = 2{A^2} + 2{A^2}\cos \phi$</p>
<p>$\cos \phi = {1 \over 2}$</p>
<p>$\phi = 60^\circ$</p>
About this question
Subject: Physics · Chapter: Waves · Topic: Wave Motion and Types
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