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When two waves of the same amplitude and frequency but having a phase difference of ϕ, travelling with the same speed in the same direction (positive x), interfere, then

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Important Questions on Wave Motion on a String

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If the ratio of amplitudes of two waves at any point in the medium is 1:3, then the ratio of maximum and minimum intensities due to their superposition will be
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Two waves of equal amplitude A, and equal frequency travel in the same direction in a medium. The amplitude of the resultant wave is
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The following figure depicts a wave travelling in a medium. Which pair of particles are in phase.

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The rate of transfer of energy in a wave depends on
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A transverse sinusoidal wave moves along a string in the positive x-direction at a speed of 10 cm s-1. The wavelength of the wave is 0.5 m and its amplitude is 10 cm. At a particular time t, the snap-shot of the wave is shown in the figure The velocity of the point P when its displacement is 5 cm is.

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The equation of a stationary wave is Y=10sinπx4cos20πt. Displacement is in m and time in seconds.  The distance between two consecutive nodes (in meters) is ?
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Stationary wave is represented by y=Asin(100t)cos(0.01x), where y and A are in mm, t in sec, and x in m. The velocity of the wave -
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A wave represented by the equation y=a cos (kx-ωt) is superposed with another wave to form a stationary wave such that the point x=0 is a node. The equation for other wave is :