Waves Test - 50...

The amplitude of a wave disturbance propagating in the positive y-direction is given by:
$$y = \dfrac{1}{1 + x^2}$$ at $$ t = 0s \ and \ y = \dfrac{1}{1 + (x - 1)^2}$$ at $$ t = 2s$$, then wave velocity is

The light waves from two independent monochromatic light sources are given by-
$${y_1} = 2\sin  {\omega t }$$ and $${y_2} = 2\cos  {\omega t }$$,
then the following statement is correct 

The displacement of a particle executing S.H.M is given by $$x=0.25sin200t$$in meters.The maximum speed of particle is :

The displacements of two interfering light waves are $$y_1 = 4 \ sin (\omega t) \ and \ y_2 = 3 \ cos (\omega t).$$ The amplitude of the resultant wave is ($$y_1$$ and $$y_2$$ are in CGS system)

The same progressive wave is represented by two graphs $$I$$ and $$II$$. Graph $$I$$ shows how the displacement $$'y'$$ varies with the distance $$x$$ along the wave at a given time. Graph $$II$$ shoes how $$y$$ varies with time $$t$$ at a given point on the wave. The ratio measurements $$AB$$ to $$CD$$, marked on the curves, represents:

Two $$SHM$$ are represented by equation $$x_{1}=4\ \sin (\omega t+37^{o})$$ and $$x_{2}=5\ \cos (\omega t)$$. The phase difference between them is

Two sources of waves are called coherent if:-

The wave number of energy emitted when electron jumps from fourth orbit to seconds orbit in hydrohen in $$20,497\ cm^{-1}$$. The wave number of energy for the same transition in $$He^{+}$$ is

A particle is performing simple harmonic motion bout its equilibrium position $$X_0$$, then 

from a line source, if amplitude of a wave at a a distance r is A, then the amplitude at a distance 4r will be