Waves Test - 66...

A wave pulse in a string is described by the equation $$y_1=\dfrac{5}{(3x-4t)^2+2}$$ and another wave pulse in the same string is described by $$y_2=\dfrac{-5}{(3x+4t-6)^2+2}$$. The values of $$y_1,y_2$$ and $$x$$ are in metres and $$t$$ in seconds. Which of the following statement is correct?

A wave pulse moves along a stretched rope in the direction shown.
Which diagram shows the variation with time t of the displacement s of the particle P in the rope? 

Two simple harmonic motions are represented by the equations 
$$y_1=10\sin \left(3\pi t+\dfrac{\pi}{4}\right)$$
and $$y_2=5(3\sin 3\pi t+\sqrt 3 \cos 3\pi t)$$ Their amplitudes are in the ratio of :

The wavelength of the first line of Lyman series is $$\lambda$$. The wavelength of the first line in Paschen series is ________.

The number of waves each of wavelength $$10\ cm$$ produced in string of $$100\ cm$$ length, is:

The equation of standing wave is $$y=a\cos kx \sin \omega t$$ which one of following graphs is for the wave at $$t=\dfrac{T}{4}$$?

Equation of a plane wave is given by $$4\sin \dfrac{\pi}{4}\left[2t+\dfrac{x}{8}\right]$$. The phase difference at any given instant of two particles $$16\ cm$$ apart is :

Wave of frequency $$500\ Hz$$ has a phase velocity $$360\ m/s$$. The phase difference between two displacement at a certain point at time $$10^{-3}\ s$$ apart will be :

The phase change between incident and reflected sound wave from a fixed wall is:

Two waves represented by $$y = a \sin (\omega t - kx)$$ and $$y = a \cos (\omega t - kx)$$ are superposed. The resultant waves will have an amplitude.