How will the length of the electromagnetic wave change if, for example, the oscillation period is doubled?

| January 10, 2021 | education

How will the length of the electromagnetic wave change if, for example, the oscillation period is doubled? or will the frequency be doubled?

Given:
c is the speed of propagation of an electromagnetic wave;
T2 = 2 * T1 – the wave oscillation period was doubled;
v2 = 2 * v1 – the frequency of the waves was doubled.
It is required to determine how the length of the electromagnetic wave will change a) with a change in the period and b) with a change in frequency.
When measuring the period:
l2 / l1 = c * T2 / (c * T1) = c * 2 * T1 / (c * T1) = 2, that is, it will increase by 2 times.
When changing the frequency:
l2 / l1 = c / v2 / (c / v1) = v1 / v1 = v1 / (2 * v1) = 1/2 = 0.5, that is, it will decrease by 2 times.
Answer: if you increase the oscillation period by 2 times, then the wavelength will also increase by 2 times, if you increase the oscillation frequency by 2 times, then the wavelength will decrease by 2 times.



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