Find the wavelength in nanometers of visible light of frequency 7.3 times 10^14

Question

Find the wavelength in nanometers of visible light of frequency 7.3 times 10^14 Hz. nm What is the frequency in hertz of microwave radiation with wavelength of 20 cm? Hz An electromagnetic wave in a vacuum has an electric field amplitude of 405 V/m. What is the magnetic field amplitude of this wave? T An electromagnetic wave in a vacuum has an instantaneous magnetic field strength of 0.000000790 T at a certain point. What is the instantaneous electric field strength of the wave at this point? V/m

Explanation / Answer

34.1.1)f = 7.3 x 10^14 Hz

We know that,

c = f lambda => lambda = c/f

lambda = 3 x 10^8/(7.3 x 10^14) = 4.11 x 10^-7 m

Hence, lambda = 4.11 x 10^-7 m = 411 nm

34.1.2)lambda = 20 cm = 0.2 m

Again using, c = f lambda => f = c/lambda

f = 3 x 10^8/0.2 = 1.5 x 10^9 Hz

Hence, f = 1.5 x 10^9 Hz

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