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Which of the following function correctly represent the travelling wave equation for finite values of x and t?

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Important Questions on Wave Motion on a String

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When a wave travels in a medium the displacement of the particle is given by the equation y(x,t)=0.03sinπ(2t-0.01x), where y and x are in metre and t in second. The wavelength of the wave is:
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Which of the following equations represents a wave travelling along Y-axis?
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The phase difference between two waves represented by
y1=10-6sin100t+x/50+0.5m
y2=10-6cos100t+x/50m
Where x is expressed in metres and t is expressed in second is approximately
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A transverse stationary wave passes through a string with the equation y=10sinπ(0.02x-2.00t) where x is in meters and $t$ in seconds. The maximum velocity of the particles in wave motion is 
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Which one of the following represents a wave -

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The equations of displacement of two waves are given as y1=10sin3πt+π3
y2=5(sin3πt+3cos3πt). Then what is the ratio of their amplitudes? 

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When a wave enters from air to any medium, then what remains unchanged
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A wave y=10sin(ax+bt) is reflected from a dense medium at an origin. If 81% of energy is reflected then the equation of reflected wave is-