Basic Maths and Units and DimensionsHard

Question

Two mechanical waves, y1 = 2 sin 2π (50 t - 2x) & y2 = 4 sin 2π (ax + 100 t) propagate in a medium with same speed.

Options

A.The ratio of their intensities is 1: 16
B.The ratio of their intensities is 1: 4
C.The value of ′a′ is 4 units
D.The value of ′a′ is 2 units

Solution

Pav = 2π2 μvA2v2 ⇒ P ∝ A2v2

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