AIPMT MAINS2012Physics-Waves
AIPMT MAINS 2012 Physics Simple Harmonic Motion MCQ Question
Type: MCQ-numerical-Medium-Class 11
The equation of a simple harmonic wave is given by y = 3 sin(π/2 (50t - x)). Where x and y are in meters and t is in seconds. The ratio of maximum particle velocity to the wave velocity is
A
2π
B
3/2 π
C
3π
D
2/3 π
Correct Answer
Option B
Detailed Explanation
The maximum particle velocity is given by the amplitude times the angular frequency, which is 3 * (π/2 * 50) = 75π/2. The wave velocity is the coefficient of t in the argument of the sine function, which is 50. The ratio is (75π/2) / 50 = 3/2 π.
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