Waves Test - 45...

Two particles execute simple harmonic motions of same amplitude and frequency along the same straight line. They cross one another when going opposite directions. The phase difference between them when their displacements are one half of their amplitudes is then

Equation of plane progressive wave is given by $$y = 0.6 sin 2\pi\left(t - \dfrac{x}{2}\right)$$. On reflection from a denser medium its amplitude becomes 2/3 of the amplitude of the incident wave. The equation of the reflected wave is

In the standing waves that form as a result of reflection of waves from an obstacle, the ratio of the amplitude at antinode to the amplitude at a node is s. The fraction of the energy that passes past the obstacle is:

The equation of the stationary wave is
$$y = 2A sin(\dfrac{2 \pi c t}{\lambda}) cos (\dfrac{2 \pi x}{\lambda})$$
Which of the following statements is wrong?

Assertion - On reflection from a rigid boundary there takes place a complete reversal of phase.
Reason - On reflection from a denser medium, both the particle velocity and wave velocity are reversed in sign.

The maximum velocity of a body undergoing S.H.M. is $$0.2 m/s$$ and its acceleration at $$0.1 m$$ from the mean position is $$0.4 m/s^{-2}$$ The amplitude of the S.H.M. is:

At a particular position the velocity of a particle in SHM with amplitude a is $$\dfrac{{\sqrt 3 }}{2}$$ that at its mean position. In this position, its displacement is:

The amplitude of an electromagnetic wave in vacuum is doubled with no other changes made to the wave. As a result of this doubling of amplitude, which of the following statement is correct?

A particle moves according to $$x= a cos \Big(\frac{\pi}{2}t\Big)$$. The distance covered by it in time interval between t=0 to t=2 s is

Given that $$y = A \sin \left[\left(\dfrac{2 \pi}{\lambda}\right)(ct - x)\right]$$, where $$y$$ and $$x$$ are measured in the unit of length. Which of the following statements is true?