The path difference between the two waves y1=a1sin(ωt−2πxλ)and y2=a2 cos(ωt−2πxλ+ϕ) is
where x is in metres and t in seconds. The phase difference between the waves is approximately:
- 1.07 rad
- 2.07 rad
- 0.5 rad
- 1.5 rad
If x=a sin [ωt+π6] and x′=a cos ωt, then what is the phase difference between the two waves?
Small amplitude progressive wave in a stretched string has a speed of 100 cm/s, and frequency 100 Hz. The phase difference between two points 2.75 cm apart on the string in radians, is
A simple harmonic progressive wave is represented by the equation y=8 sin 2π(0.1x−2t) where x and y are in centimeters and t is in seconds. At any instant the phase difference between two particles separated by 2.0 cm along the x-direction is
Two particles of medium disturbed by the wave propagation are at x1=0 and x2=1 cm. The respective displacements (in cm) of the particles can be given by the equations: y1=2sin3πt, y2=2 sin(3πt−π8). The wave velocity is
In a medium in which a transverse progressive wave is travelling, the phase difference between two points with a separation of 1.25 cm is (π4). If the frequency of wave is 1000 Hz its velocity will be
- The wave C is ahead by a phase angle of π/2 and the wave B lags behind by a phase angle .
- The wave C is lag behind by a phase angle of and the wave B is ahead by a phase angle
- The wave C is ahead by a phase angle of π and the wave B lags behind by a phase angle .
- The wave C lags behind by a phase angle of π and the wave B is ahead by a phase angle .
Where x is expressed in metre and t is expressed in second, is approximately
- 2.07 radian
- 0.5 radian
- 1.5 radian
- 1.07 radian
- Equal phase and phase velocity of produced wave
- Equal amplitude of produced wave
- None of these
- Zero or constant phase difference along with equal frequency and amplitude of produced wave