Waves Test - 33...

A piece of cork is floating on water in a small tank. The cork oscillates up and down vertically when small ripples pass over the surface of water. The velocity of the ripples being $$0.21\ ms^{-1}$$, wave length 15 mm and amplitude 5 mm, the maximum velocity of the piece of cork is     $$\displaystyle\bigg (\pi = \frac{22}{7}\bigg )$$

Three waves of equal frequency having amplitudes $$10\ \displaystyle \mu m$$, $$ 4\ \displaystyle \mu m$$ and $$7\ \displaystyle \mu m$$ arrive at a given point with a successive phase difference of $$\displaystyle \pi /2$$. The amplitude of the resulting wave is $$\displaystyle \mu m$$ in given by

A wave of wavelength 4 mm is produced in air and it travels at a speed of 300 m/s. Will it be audible?

Two waves of amplitude $$\displaystyle A_{1}\: $$and$$\: A_{2} $$ respectively and equal frequency travels towards the same point. The amplitude of the resultant wave is

A particle performing SHM on the y axis according to equation $$\displaystyle y=A+B\sin\omega t$$, its amplitude is 

When a sound wave is reflected from a rigid wall, the phase difference between the reflected and incident wave

A wave represented by the equation $$\displaystyle y=a\cos \left ( kx-\omega t \right )$$ is superimposed with another wave to form a stationary wave such that the point x = 0 is a node. The equation for other wave is

Two sinusoidal waves of the same frequency travel in the same direction along a string. If $$\displaystyle A_{1}=3.0\: cm,A_{2}=4.0\: cm,\phi _{1}=0,$$ and $$\displaystyle \phi _{2}=\pi /2$$ rad, what is the amplitude of the resultant wave?

Two waves passing through a region are represented by
$$\displaystyle y_{1}=5\: mm\sin [(2\pi \: cm^{-1})x-(50\pi s^{-1})t]$$
and $$\displaystyle y_{2}=10\: mm\sin [(\pi \: cm^{-1})x-(100\pi s^{-1})t]$$
Find the vertical displacement of a particle at x = 1 cm at time t  = 5.0 ms

A ripple is created in water. The amplitude at a distance of $$5$$cm from the point where the sound ripple was created is $$4$$cm. Ignoring damping, what will be the amplitude at the distance of $$10$$cm.