Waves Test - 74...

A nylon guitar string has a linear density of $$7.20\ g/m$$ and is under tension of $$150\ N$$. The fixed supports are distance $$D= 90.0\ cm$$ apart. The string is oscillating in the standing wave pattern shown in figure.Calculate the
(iii) The frequency of the traveling waves whose superposition gives this standing wave.

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:-

Two waves of equal frequencies have their amplitudes in the ratio of 3 : 5. They are superimposed on each other. Calculate the ratio of maximum and minimum intensities of the resultant wave.

A particle executes SHM with a time period of $$16$$s. At time $$t=2s$$, the particle crosses the mean position while at $$t=4s$$, its velocity is $$4ms^{-1}$$. The amplitude of motion in metre is?

If two waves, each of intensity $${I}_{0}$$, having the same frequency but differing by a constant phase angle of $${60}^{o}$$, superpose at a certain point in space, then the intensity of resultant wave is:

A particle is executing SHM of amplitude $$A$$, about the mean position $$x = 0$$. Which of the following cannot be a possible phase difference between the positions of the particle at $$x = +A/2$$ and $$x = -A/\sqrt {2}$$.

Two particles execute $$S.H.M.$$ along the same line at the same frequency. They move in opposite direction at the mean position. The phase difference will be:

Two waves are represented by $$x_1 = A \sin \left( \omega t + \dfrac{\pi}{6} \right) $$ and $$x_2 = A \cos \omega t $$ then the phase difference between them is :

Equation of a progressive wave is given by
$$y = 0.2 \cos \pi \Bigg \lgroup 0.04t + .02x - \frac{\pi}{6} \Bigg \rgroup$$
The distance is expressed in cm and time in second. What will be the minimum distance between two particles having the phase difference of $$\pi$$/2

Two waves are propagating to the point p along a straight line produced by two sources A and B of ahead by $$\pi /3$$ than that of B and the distance AP is greater than BP by 50 cm. Then the resultant amplitude at the point P will be, if the wavelength is 1 meter