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

A wave is described by the equation y = (1.0 mm ) ( x 2.0 cm - t 0.01 s ) . Find the time period and the wavelength.

Options

A20 ms , 4.0 cm
B10 ms , 2.0 cm
C40 ms , 8.0 cm
D0.01 s , 2.0 cm

Correct answer

A. 20 ms , 4.0 cm

Step-by-step solution

The given wave equation is y = (1.0 mm ) ( x 2.0 cm - t 0.01 s ) Comparing this with the standard wave equation y = A (kx - t) , we get: k = 2.0 cm ⁻¹ = 0.01 s ⁻¹ Using the relation k = 2 , we find the wavelength: 2 = 2.0 = 4.0 cm Using the relation = 2 T , we find the time period: 2 T = 0.01 T = 0.02 s = 20 ms

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