09 December 2022

Phase shifts in frequency make wave corresponds to time shifts:

Time interval T(deg) for 1° of phase is inversely proportional to the frequency (f). We get a wave corresponding to the time shift.

For example, 1° phase shift on a 5 MHz wave corresponds to a time shift of 555 picoseconds (ps). 

We know, 1° phase shift = T/360.

As T=1/f,

1° phase shift = T/360 = (1/f)/360.

For a wave of frequency f = 5 MHz, we get the phase shift (in degree°)

= (1/5000000)/360

= (5.55x10^-10)

= 555 ps.

Therefore, for 1° phase shift for a wave having wavelength λ = 59.95m, and frequency f = 5 MHz, the time shift (time delay) Δt = 555 ps (approx).

Moreover, for a 360° phase shift or, 1 complete cycle for a wave having frequency 1Hz (of a 9192631770 Hz wave); the time shift (time delay) Δt = 0.0000001087827757077666 ms (approx).

Time shift of the caesium-133 atomic clock in the GPS satellite in space:

For 1455.50003025° phase shift (or, 4.043055639583333 cycles) of a 9192631770 Hz wave; time shifts (time delays) Δt = 0.0000004398148148148148 ms (approx) or, 38 microsecond time is taken per day.

#phaseshifts #phaseshift