source : yahoo.com

## Calculate the frequency of each of the following wave lengths of electromagnetic radiation.?

To answer these questions, use the following equation:

c = ƒ x λ

where “c” is the speed of light in a vacuum in m/s, “ƒ” is the frequency in s^-1, and “λ” is the wavelength in meters.

Part a:

First, we must change the units of wavelength from nanometers to meters:

1 m = 10^-9 m

503 nm = 503 x 10^-9 m = 5.03 x 10^-7 m

c = 3.00 x 10^8 m/s

λ = 5.03 x 10^-7 m

ƒ = ?

ƒ = c / λ

ƒ = (3.00 x 10^8 m/s) / (5.03 x 10^-7 m)

ƒ = 5.98 x 10^14 s^-1 or hertz

Answer: The frequency of maximum solar radiation whose wavelength is 503 nm is 5.98 x 10^14 s^-1 or hertz.

Part b:

First, we must change the units of wavelength from nanometers to meters:

1 m = 10^-9 m

.052 nm = 0.052 x 10^-9 m = 5.2 x 10^-11 m

c = 3.00 x 10^8 m/s

λ = 5.2 x 10^-11 m

ƒ = ?

ƒ = c / λ

ƒ = (3.00 x 10^8 m/s) / (5.2 x 10^-11 m)

ƒ = 5.8 x 10^18 s^-1 or hertz

Answer: The frequency of medical x rays whose wavelength is .052 nm is 5.8 x 10^18 s^-1 or hertz.

Part c:

This question seems to be identical with part a.

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