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PHY 104 PHY 104 Past Questions Objective Question
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Question

Two waves, same frequency and same wavelength, each of amplitude 2 cm are superimposed. If the phase difference between them is 30°, calculate the amplitude of the resulting wave. y = (2A cos φ/2) sin(ωt - kx + φ/2)
Options
A 4.83 cm
B 3.97 cm
C 3.86 cm
Correct Answer
D 4.22 cm
Correct Answer

Option C is the correct answer.

Detailed Explanation

The resultant amplitude is R = 2A cos(φ/2). Here A = 2 cm, φ = 30°. R = 2 * 2 * cos(15°) = 4 * 0.9659 = 3.8636 cm ≈ 3.86 cm.

Hint

Use the formula for the resultant amplitude of two waves: R = 2A cos(Δφ/2).

Question Info

Course: PHY 104
Topic: PHY 104 Past Questions
Type: Objective
Difficulty: Not specified
Question 778 of 947
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