Waves Test - 28...

Two sound waves are represented by the following equations 
$$\quad y_1 = 10\sin(3\pi - 0.03x)$$ and 
$$\quad y_2 = 5\sin(3\pi t - 0.03x) + 5\sqrt3\cos(3\pi t - 0.03 x)$$
Then, the ratio of their amplitudes is given by

If the frequency of a sound wave is doubled then the velocity of sound will be

A boat at anchor is rocked by a wave whose crests are $$100\space m$$ apart and whose velocity is $$25\space ms^{-1}$$.how often does the crest reach the boat?

Two waves of same amplitude and same frequency reach a point in a medium simultaneously. The phase difference between them for resultant amplitude to be zero, will be

The resultant amplitude, when two waves of same frequency but with amplitudes $$a_1$$ and $$a_2$$ superimpose with a phase difference of $$\pi/2$$ will be

A rod $$70\space cm$$ long is clamped from middle. The velocity of sound in the material of the rod is $$3500\space ms^{-1}$$. The frequency of fundamental note produced by it is :

$$P$$ is the junction of two wires $$A$$ and $$B$$. $$B$$ is made of steel and is thicker while $$A$$ is made of aluminium and is thinner as shown. If a wave pulse as shown in the figure approaches $$P$$, the reflected and transmitted waves from $$P$$ are respectively :

For a pulse moving in a heavy string the junctions of the string behaves as a 

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

If the wavelength of a wave is decreased by $$20\mbox{%}$$ then its frequency will become :