Waves Test - 31...

A string of length $$20\  cm$$ and linear mass density $$0.4\  g/cm$$ is fixed at both ends and is kept under a tension of $$16 \ N$$. A wave pulse is produced at $$t = 0$$ near an end as shown in figure which travels towards the other end. The string have the shape shown in the figure again in $$ 2 \times 10^{-x} sec$$. Find $$x$$.

Two waves are travelling in the same direction along a stretched string. The waves are $$90^0$$ out of phase. Each wave has an amplitude of 4.0 cm. The amplitude of the resultant wave is $$5.66 \times 10^{-x} m$$. Find x. 

Consider a sinusoidal travelling wave shown in figure. The wave velocity is $$+ 40 cm/s$$. Find the frequency.

The equation of a wave is given by $$Y\, =\, 5\, sin\, 10 \pi\, (t\, -\, 0.01x)$$ along the x-axis. (All the quantities are expressed in SI units}. The phase difference the points separated by a distance of 10 m along x-axis is

A source oscillates with a frequency 25 Hz and the wave propagates with 300 m/s. Two points A and B are located at distances 10 m and 16 m away from the source. The phase difference between A and B is 

Three one dimensional mechanical waves in an elastic medium is given as and
$$y_1\,=\,3A \,sin\,(\omega\,t\,-\,kx)$$
$$y_2\,=\,A \,sin\,(\omega\,t\,-\,kx\,+\,\pi)$$
$$y_3\,=\,2A \,sin\,(\omega\,t\,+\,kx)$$ 
are superimposed with each other. The maximum displacement amplitude of the medium particle would be 

Three coherent waves having amplitudes 12 mm, 6 mm and 4 mm arrive at a given point with successive phase difference of $$\pi/2$$. Then the amplitude of the resultant wave is

A wave travels on a light string. The equation of the waves is $$Y\, = \,A\, sin\,(kx\,-\,\omega\,t+\,30^{\circ})$$. It is reflected from a heavy string tied to end of the light string at x = 0 . If 64% of the incident energy is reflected then the equation of the reflected wave is  

Vibrations of period 0.25 s propagate along a straight line at a velocity of 48 cm/s. One second after the emergence of vibrations at the initial point, displacement of the point, 47 cm from it is found to be 3 cm. Then,