What is the wavelength (in nanometers) of radiation having a frequency of 2.05 ✕ 10^9 Hz? (This is the type of radiation used in microwave ovens.)
How would you solve this question?
c = ƒλ
λ = c/f
λ = 3 x 10^8 / 2.05 x 10^9
λ = 0.146 m
c = speed of light in a vacuum since this is part of the electromagnetic spectrum and these share same velocity in a vacuum. I approximated the velocity in a vacuum and we take the speed in the vacuum as the same as the speed in air.
c = lambda x v
lambda = c / v
c = 3.00x10^8 m/s
The SI unit of frequency s^-1 is hertz
lambda = 3.00x10^8 m/s / (2.05 ✕ 10^9 s^-1) = 0.146 m
1 nm = 1x10^9 m
simply multiply by 1x10^9
0.146 m x 1x10^9 = 1.46x10^8 nm
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Answers & Comments
c = ƒλ
λ = c/f
λ = 3 x 10^8 / 2.05 x 10^9
λ = 0.146 m
c = speed of light in a vacuum since this is part of the electromagnetic spectrum and these share same velocity in a vacuum. I approximated the velocity in a vacuum and we take the speed in the vacuum as the same as the speed in air.
c = lambda x v
lambda = c / v
c = 3.00x10^8 m/s
The SI unit of frequency s^-1 is hertz
lambda = 3.00x10^8 m/s / (2.05 ✕ 10^9 s^-1) = 0.146 m
1 nm = 1x10^9 m
simply multiply by 1x10^9
0.146 m x 1x10^9 = 1.46x10^8 nm