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A vibrator makes 150 cm of a string to vibrate in 6 loops in the longitudinal arrangement when it is stretched by 150 N. The entire length of the string is  then weighed and is found to weigh 400 mg. Then

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Important Questions on Wave Motion on a String

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The equation of a plane progressive wave is y=0.02sin8πt-x20. When it is reflected at a rarer medium (medium with higher velocity) at x=0, its amplitude becomes 75% of its previous value. The equation of the reflected wave is
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A sonometer wire resonates with a given tuning fork forming standing waves with five antinodes between the two bridges when a mass of 9 kg is suspended from the wire. When this mass is replaced by mass M, the wire resonates with the same tuning fork forming three antinodes for the same positions of the bridges. Then, find the value of square root of M.
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A wave y=10sin(ax+bt) is reflected from a dense medium at origin. If 81% of energy is reflected, then the equation of reflected wave is,
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A tuning fork gives 4 beats with 50 cm length of a sonometer wire. If the length of the wire is shortened by 1 cm, the number of beats is still the same.The frequency(in Hz) of the fork is :-
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Assertion :In standing wave pattern particle of medium between two consecutive nodes vibrates in same phase but with different amplitude.

Reason : In stationary wave the amplitude of vibration does not depend on the position of the particle.

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Assertion : The wave function of a pulse is given by y=3(2x+3t+4) is propagates in (-ve x- direction)

Reason : The given wave function is of the form y=f(kx+ωt) which represent a wave travelling in negative x- direction.

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Assertion : Standing waves do not transfered energy in the medium.

Reason : Every particle vibrates with its own energy and it does not share its energy with any other particle