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JEE Main 2023 (29 Jan, Shift 1) · Reflection, Superposition & Interference

Reflection, Superposition & Interference question from JEE Main 2023 (29 Jan, Shift 1)

Q12JEE Main 2023 · 29 JAN · SHIFT 1Easy

Reflection, Superposition & Interference

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.

Numerical answer type. Work it out, then open the answer.

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Answer: 120

$A_R = A\sqrt{2 + 2\cos\phi}$ with $A_R = A = 8\text{ cm}$ .
$2 + 2\cos\phi = 1 \Rightarrow \cos\phi = -\frac{1}{2}$ .
So $\phi = 120^\circ$ .

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