Respuesta :

using
π = c/f
where c = velocity of EM waves in vacuum = 3×10^8 ms-¹
f = 4.2×10^14
π = 3/4.2 ×10^(8-14)
π = 0.714 ×10 ^-6
π = 7.14×10^-5 m

The wavelength of an infrared wave with a given frequency is 7.14 x 10⁻⁵ m.

What is frequency?

Frequency is the number of cycles per second moved by the wave.

The frequency and wavelength is related as

λ = c/f

where c = velocity of sound wave in vacuum = 3×10⁸ m/s

Given is the frequency of the infrared wave f = 4.2×10^14, then wavelength will be

λ = 3 x10⁸ / 4.2 x 1

λ = 7.14 x 10⁻⁵ m

Thus, the wavelength  of an infrared wave with a given frequency is 7.14 x 10⁻⁵ m

Learn more about frequency.

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