Four harmonic waves of equal frequencies and equal intensities I_0 have phase angles 0, /3, 2 /3 and . When they are superposed, the intensity of the resulting wave is nI_0. The value of n is

JEE Advanced 2015 Physics question

Four harmonic waves of equal frequencies and equal intensities have phase angles 0, , and . When they are superposed, the intensity of the resulting wave is . The value of is

Answer: 3

Solution

Add the four equal amplitudes as phasors. Horizontal components: . Vertical components:

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Question ID VK-026427