STANDARD Physics Standing Waves MCQ Question
A string is clamped at both the ends and it is vibrating in its 4th harmonic. The equation of the stationary wave is Y = 0.3 sin(0.157 x) cos(200 πt). The length of the string is (All quantities are in SI units)
20 m
80 m
60 m
40 m
Correct Answer
Detailed Explanation
The wave number k is given by k = 0.157 = 2π/λ, which gives λ = 40 m. For the 4th harmonic, L = 4λ/2 = 2 × 40 = 80 m.
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