Waves Test - 80...

Two particies are oscillating along two close parallel straight  lines side by side, with the same frequen? amplindes. They pass each other, moving in opposite moving in opposite directions when their displacement is bif of amplitude. The mean positions of two particles lie on a particles lie on a straight line perpendicular to the paths of the paricles. The phase difference is:

A particle executes simple harmonic motion with an amplitude of $$4cm$$. At the mean position the velocity of the particle of the particle is $$10cm/s$$. The distance of the particle from the mean position when its speed becomes $$5cm/s$$ is:

25 waves pass through a point in 5 seconds. If the distance between one compression and one rarefaction is 0.05 m, the frequency and wavelength of the wave is : 

The wavelength and frequency of a sound wave in medium A is 20 cm and 1650 Hz. Keeping the medium same, if wavelength is changed to 16 cm, then new frequency is : 

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

Two waves are given by $$  y_{1}=\cos (4 t-2 x)  $$ and $$ y_{2}=\sin \left(4 t-2 x+\frac{\pi}{4}\right) \cdot  $$ The phase difference between the two waves is

Two waves in a string ( all in SI units) are $$y_1 = 0.6 sin ( 10t  - 20 x)$$ and  $$y_2 = 0.4 sin (10 t +20 x)$$
 Statement-1: Stationary waves can be formed by their superposition but net energy transfer through any section will be non - zero.
Statement-2: Their amplitudes are unequal.

A : If a wave moving in a rarer medium , gets reflected at the boundary of the denser medium , then it accounts a sudden change in phase of $$\pi $$.
R : If a wave propagating in a denser medium , gets reflected from rarer medium , then their will be no abrupt phase change .

Waves from two sources superpose on each other at a particular point, the amplitude, and frequency of both the waves are equal. The ratio of intensities when both waves reach in the same phase and they reach with the phase difference of $${ 90 }^{ \circ  }$$ will be 

Two small boats are 10 m apart on a lake. Each pops up and down with a period of 4.0  seconds due  to wave motion on the surface of water. What one boat is at its highest point, the other boat is at lowest point. Both boats are always within a single cycle of the waves. The speed of the waves is :