An electromagnetic wave has a frequency of 4.0 x 1018 Hz. What is the wavelength of the wave? Use the equation 2 = and 3.0 x 108 m/s for the
speed of light.
O A. 1.3 x 1010 m
OB. 1.3 x 10-26 m
C. 7.5 x 1026 m
O D. 7.5 x 10-11 m

D

Wavelength λ = 7.5 × 10^-11 m

Explanation:

You are given the frequency of an electromagnetic wave to be:

F = 4.0 x 1018 Hz. And the speed of light C to be

C = 3 × 10^8 m/s

From wave speed formula:

Wave speed is the product of waves frequency and wavelength. That is,

V = fλ

Where

f = frequency

λ = wavelength

V = C = speed of light

Substitute the values of the parameters into the formula

C = fλ

3 × 10^8 = 4 × 10^18 × λ

Make λ the subject of formula

λ = (3×10^8)/(4×10^18)

λ = 7.5 × 10^-11 m

Therefore, the wavelength of the wave is 7.5 × 10^-11 m

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