Acertain photon has a frequency of 634x1012 hz. what is the photon's wavelength in a vacuum? enter your answer in nm (x10-9 m).

4.73 × 10^4 m

From the question;

Frequency of the photon = 634 × 10^12 Hz

We are required to calculate the wavelength of the photon.

We need to know the relationship between wavelength and frequency of a wave.

The relationship between f and λ is given by;

c = fλ

Where c, is the speed of light, 2.998 × 10^8 m/s

Therefore, to get the wavelength we rearrange the formula such that;

λ = c ÷ f

  = 2.998 × 10^8 m/s ÷ 634 × 10^12 Hz

  = 4.73 × 10^-5 m

But we require wavelength in nm

1 M = 10^9 nm

Therefore;

Wavelength = 4.73 × 10^-5 m × 10^9 nm/m

                    = 4.73 × 10^4 m

Hence, the photon's wavelength is 4.73 × 10^4 m

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