The phase difference between two waves. represented by
y₁ = 10^$$-$$6 sin[100t + (x/50) + 0.5] m
y₂ = 10^$$-$$6 cos[100t + (x/50)] m,
where x is expressed in metres and t is exressed in secondss, is approximately.

A car is moving towards a high cliff. The driver sounds a horn of frequency $$f$$. The reflected sound heard by the driver has frequency $$2f$$. If v is the velocity of sound, then the velocity of the car, in the same velocity units, will be

An observer moves towards a stationary source of sound with a speed 1/5^th of the speed of sound. The wavelength and frequency of the source emitted are $$\lambda $$ and $$f$$ respectively. The apparent frequency and wavelength recorded by the observer are respectively

A wave travelling in positive X-direction with a $$=$$ 0.2 ms^$$-$$2, velocity = 360 ms^$$-$$1 and $$\lambda $$ $$=$$ 60 m, then correct expression for the wave is