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In stationary waves at nodes -

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Important Questions on Wave Motion on a String

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The equation y=0.15sin5xcos300t, describes a stationary wave. The wavelength of the station any wave is
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The length of a sonometer wire AB is 110 cm. Where, should the two bridges be placed from A to divide the wire in 3 segments whose fundamental frequencies are in the ratio of 1: 2: 3?
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There are some points in a stationary waves which -
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The tension in a piano wire is $10$ $\mathrm{N}$. What should be the tension in the wire in order to produce a node having double the frequency?

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The equation of a stationary wave is y=0.8cosπx20 sin200πt, where x is in cm and t is in second. The separation between the consecutive nodes will be
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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 the other wave is :
 
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In a stationary wave, all particles are
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A plane wave is described by the equation y=3cosx4-10t-π2. The maximum velocity of the particles of the medium due to this wave is -