Waves Test - 41...

A particle performing S.H.M. starts from equilibrium position and its time period is $$16$$ second. After $$2$$ seconds its velocity is $$\pi \ m/s$$. Amplitude of oscillation is $$(\cos 45^{\circ} = \dfrac {1}{\sqrt {2}})$$

Two sound waves having a phase difference of $$60^o$$, have a path difference of :

A progressive wave is represented by y = 12 sin (5t - 4x) cm. On this wave, how far away are the two points having phase difference of 90$$^o$$?

A simple harmonic wave of amplitude $$8$$ unit travels along positive $$x$$-axis. At any given instant of time, for a particle at a distance of $$10 cm$$ from the origin, the displacement is $$+6$$ unit and for a particle at a distance of $$25 cm$$ from the origin, the displacement is $$+4$$ unit. Calculate the wavelength.

The equation of a simple harmonic wave is given by $$y = 6 \sin{2\pi} \left(2t-0.1x\right)$$, where $$x$$ and $$y$$ are in $$mm$$ and $$t$$ is in seconds. The phase difference between two particles $$2 mm$$ apart at any instant is

Two particles A and B execute simple harmonic motions of periods T and 5T / 4. They start from mean position. The phase difference between them when the particle A complete one oscillation will be:

The phenomena during arising due to the superstition of waves is/are :

A progressive wave is represented as $$y=0.2\cos \pi (0.04 t+0.2x-\dfrac{\pi}{6})$$ where distance is expressed in cm and time in second. What will be the minimum distance between two particles having the phase difference of $$\dfrac{\pi}{2}$$?

With the propagation of a longitudinal wave through a material medium the quantities transmitted in the propagation direction are

At a moment in a progressive wave, the phase of a particle executing SHM is $$\dfrac {\pi}{3}$$. Then the place of the particle $$15\ cm$$ ahead and at time $$\dfrac {T}{2}$$ will be, if the wavelength is $$60\ cm$$.