Waves Test - 23...

A man is travelling towards east at 20ms$$^{-1}$$ and sound waves are moving towards east at 340ms$$^{-1}$$. He finds that $$500$$ waves cross him in $$2$$ seconds, the wavelength of the sound wave received by the man is :

The equation $$y=4+2\sin(6t-3x)$$ represents a wave motion with amplitude of

The equation of a progressive wave is $$ y = 0.5 \sin \ 2\pi (\dfrac{t}{0.004} - \dfrac{x}{50})$$, where $$x$$ is in $$cm$$. The phase difference between two points separated by a distance $$5 \ cm$$ at any instant is :

The equation of a plane progressive wave is $$y = 0.9 \sin 4\pi [t-\displaystyle \dfrac{x}{2}]$$ , when it is reflected at a rigid support, its amplitude becomes $$2/3$$  of its previous value. The equation
of the reflected wave is :

In a stationary wave that forms as a result of reflection of waves from an obstacle, the ratio of the amplitude at an antinode to the amplitude at node is $$6$$. The percentage of energy transmitted is 

Statement-1 : Where two vibrating tuning forks having frequencies $$256 Hz$$ and $$512 Hz$$ are held near each other, beats cannot be heard.
Statement-2 : The principle of superposition is valid only if the frequencies of the oscillations are nearly equal.

Two waves of equal amplitude $$x_{o}$$  and equal frequency travel in the same direction in a medium. The amplitude of the resultant wave is :

A wave pulse on a string has the dimension shown in figure. The wave speed is $$\nu= 1 \ cm/ s$$.  If point O is a free end, the shape of wave at time $$t = 3s$$ is :

Two sound waves, each of amplitude $$A$$ and frequency $$\omega$$, superpose at a point with a phase difference of $$\displaystyle \dfrac{\pi}{2}$$. The amplitude and the frequency of the resultant wave are, respectively

A wave represented by  $$y=100\sin(ax+bt)$$  is reflected from a dense plane at the origin. If $$36\%$$ of energy is lost and rest of the energy is reflected, then the equation of the reflected wave will be