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Class 11 Physics Practice Test: Waves - Displacement Relation in a Progressive Wave
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The wavelength 'λ' for a progressive wave is basically the distance measured between two succeeding points of the same phase at a particular time.

Class 11 Physics Practice Test: Waves - Displacement Relation in a Progressive Wave
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6 Questions

1. Consider a sinusoidal wave travelling in the positive x direction. What is the phase difference between the two points shown in the diagram below?
2. An equation of a wave is given by: y = 2sin(3x-2t+π/2). What is the minimum distance between two points having the same phase?
3. The equation of a wave is given by y = 3sin(4x-2t). What is the time period and wavelength of the wave?
4. A sinusoidal wave has an amplitude of 2cm. It is travelling in the negative x-direction. The distance between two crests is 2cm. The angular frequency is πs-1. What is the displacement of the particle at x = 20.5cm, at t = 10s? Assume that at t=0 & x=0 the particle was at the mean position and going downwards. ‘x’ &’y’ are in cm.
5. A sinusoidal wave has an amplitude of 3cm. Time period is 1s. The wavelength is 1cm. And at x = 0, t=0 the particle is at its mean position & moving upwards. What is the equation of the wave if it is travelling along the positive x-axis?
6. What does the given equation: x = Asin(ky+wt+a) represent?

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