give mathematical relationship between time period and frequency in one sentence pls do it fast
Answers
Answer:
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Step-by-step explanation:
Since wave frequency is the number of waves per second, and the period is essentially the number of seconds per wave, the relationship between frequency and period is
f=1T
or
T=1f,
just as in the case of harmonic motion of an object. We can see from this relationship that a higher frequency means a shorter period. Recall that the unit for frequency is hertz (Hz), and that 1 Hz is one cycle—or one wave—per second.
The speed of propagation vw is the distance the wave travels in a given time, which is one wavelength in a time of one period. In equation form, it is written as
vw=λT
or
vw=fλ.
From this relationship, we see that in a medium where vw is constant, the higher the frequency, the smaller the wavelength.