Concepts Of Physics MCQ Edition [Volume 1]PhysicsWave Motion and Waves on a String

A wave travelling on a string stretched along the X -axis has an equation given by y = A , e^ - ( x a + t T )^2 . Compute the wave speed.

Options

Aa T
BT a
Ca^2 T
DaT

Correct answer

A. a T

Step-by-step solution

The equation of the given wave is y = A e^ - ( x a + t T )^2 For a travelling wave, the phase is constant for a given point on the waveform: x a + t T = constant Differentiating with respect to time t : 1 a dx dt + 1 T = 0 dx dt = - a T The wave speed is the magnitude of the wave velocity: v = | dx dt | = a T

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