Waves Test - 65...

Two points are located at a distance of $$10\ m$$ and $$15\ m$$ from the source of oscillation. The period of oscillation is $$0.05\sec$$ and the velocity of the wave is $$300\ m/\sec$$. What is the phase difference between the oscillations of two points?

The equation $$y =A\cos^2\left(2\pi\, nt -2\pi \dfrac{x}{\lambda}\right)$$ represents a wave with

The phase difference between two particles executing SHM of the same amplitudes and frequency along same straight line while passing one another when going in opposite directions with equal displacement from their respective starting point is $$2\pi/3$$. If the phase of one particle is $$\pi/6$$, find the displacement at this instant, if amplitude is $$A$$.

Which of the following statement is incorrect superposition of waves?
(i) After superposition frequency,wavelength and velocity of resultant wave remains same
 (ii) After superposition amplitude of resultant wave is equal to amplitude of either wave 
 (iii) Mechanical wave cannot superposed with electromagnetic wave
 (iv) For superposition two waves should have equal wavelength,frequency and amplitude

The equation $$y = a \sin^2 \left(2 \pi nt - \dfrac{2\pi x}{\lambda}\right)$$ represents a wave with

A wave has a wavelength of 3m. The distance between a crest and adjacent trough is

The displacement equation of a progressive wave is y = 3 sin (200 t-5 x), Where the distance x and y are in meter and time t in second. The speed of the wave is:

A sinusoidal wave travelling in the same direction have amplitude of $$3\ cm$$ and $$4\ cm$$ and difference in phase by $$\pi/2$$. The resultant amplitude of the superimposed wave is :

At any instant a wave travelling along the string is shown in fig. Here, point $$'A'$$ is moving upward. Which of the following statements is true?

Velocity of sound waves in air is $$330\ m/s$$. For a particular sound in air, a path difference of $$40\ cm$$ is equivalent to a phase difference of $$1.6\ \pi$$. The frequency of this wave is: