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Which of the followings is not correct for the two progressive waves in opposite phase.

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Important Questions on Waves

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A particle performs S.H.M. with amplitude A. Its speed is tripled at the instant when it is at a distance of 2A3 from the mean position. The new amplitude of the motion is
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A body of mass 1 kg is executing simple harmonic motion. Its displacement ycm at t seconds is given by y=6sin100t+π4. Its maximum kinetic energy is

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Sound waves of wavelength λ and velocity v in medium- 1 enter medium- 2 . If their velocity in medium- 2 is 4 v, the wavelength in medium- 2 is
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A steel wire has a length of 90 cm which is under a constant tension of 100 N. The speed of the transverse waves that can be produced in the wire will be (take the mass of the steel wire to be 6×10-3 kg)
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A simple pendulum of length L has mass M and it oscillates freely with amplitude A. At the extreme position, its potential energy is (g = acceleration due to gravity)
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An observer on the sea shore observes 54 waves reaching the coast per minute. If the wavelength is 10 m, the velocity of the wave is
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A simple pendulum oscillates harmonically about x=0 with an amplitude A and time period T. Its speed at x=A/2 is
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A body is executing S.H.M. Its potential energy is E1 and E2 at displacements x and y respectively. The potential energy at displacement x+y is
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A particle executes linear simple harmonic motion with an amplitude of 3 cm. When the particle is at 2 cm from the mean position, the magnitude of its velocity is equal to that of its acceleration. Then its time period in seconds is
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The oscillation of a body on a smooth horizontal surface is represented by the equation, X=Acosωt, where X= displacement at time tω=  frequency of oscillation, a= acceleration at time t and T= time period.
Which one of the following graph shows correctly the variation a with t ?
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A hospital uses an ultrasonic scanner to locate tumors in a tissue. The operating frequency of the scanner is 4.2 MHz. The speed of sound in a tissue is 1.7 km/s. The wavelength of sound in the tissue is
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A particle is executing a simple harmonic motion. Its maximum acceleration is α and maximum velocity is β. Then, its time period of vibration will be:
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When a particle executes SHM, the nature of graphical representation of velocity as a function of displacement is:
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The physical quantity conserved in simple harmonic motion is
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A particle executes S.H.M., the graph of velocity as a function of displacement is :
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Total energy of a particle performing S.H.M. is NOT proportional to

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A particle executing S.H.M. has velocities v1 and v2 at distance x1 and x2 respectively from mean position. The angular velocity ω of the particle is given by
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A uniform thin rope of length 12 m and mass 6 kg hangs vertically from a rigid support and a block of mass 2 kg is attached to its free end. A transverse short wave train of wavelength 6 cm is produced at the lower and the rope. What is the wavelength of the wave train (in cm) when it reaches the top of the rope?
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A particle is executing SHM along a straight line. Its velocities at distances x1 and x2 from the mean position are V1 and V2 respectively. Its time period is:
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The propagation constant or angular wave number is