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PHY 104 PHY 104 Past Questions Objective Question
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Question

Two waves with the same frequency, wavelength, and amplitude are traveling in the same direction. If they differ in phase by 90° and each has amplitude 0.05 m, find the amplitude of the resultant wave.
Options
A 0.071 m
Correct Answer
B 0.035 m
C 0.045 m
D 0.055 m
Correct Answer

Option A is the correct answer.

Detailed Explanation

The resultant amplitude R = √(A₁² + A₂² + 2A₁A₂ cos Δφ). For equal amplitudes A = 0.05 m and phase difference Δφ = 90° (cos 90° = 0), R = √(A² + A²) = A√2 = 0.05 × 1.414 = 0.0707 m ≈ 0.071 m.

Hint

Use the formula for the resultant amplitude of two waves: R = √(A₁² + A₂² + 2A₁A₂ cos Δφ).

Question Info

Course: PHY 104
Topic: PHY 104 Past Questions
Type: Objective
Difficulty: Not specified
Question 835 of 947
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