Waves Test - 46...

Two waves are given by y₁ = a sin (ωt – kx) and y₂ = a cos (ωt – kx). The phase difference between the two waves is

If amplitude of waves at distance r from a point source is A, the amplitude at a distance 2r will be

The relation between time and displacement for two particles is given by
y₁ = 0.06 sin 2π (0.04t + ɸ₁ ),
y₂ = 0.03 sin 2π (1.04 t + ɸ₂)
The ratio of the intensity of the waves produced by the vibrations of the two particles will be

A plane wave is represented by x = 1.2 sin (314 t + 12.56 y )
Where x and y are distances measured along in x and y direction in meters and t is time in seconds. This wave has

A wave motion is described by y (x, t) = a sin (kx – ωt). Then the ratio of the maximum particle velocity to the wave velocity is

A transverse wave of amplitude 0.5 m and wavelength 1 m and frequency 2 Hz is propagating in a string in the negative x-direction. The expression for this wave is

When a wave travels in a medium, the particle displacement is given by the equation y = a sin 2π (bt – cx) where a, b and c are constants. The maximum particle velocity will be twice the wave velocity if