Question

What is the wavelength of electromagnetic radiation which has a frequency of 4.464 x 10^14 s-1

a. 1.338 x 10^23 m
b. 1.489 x 10^-6 m
c. 6.716 x 10^-7 nm
d. 671.6 nm

Answer 1

Answer:

d. 671.6 nm

Explanation:

It is possible to solve the wavelength of a radiation from its frequency -or vice versa- using:

λ = c / f

Where λ is wavelength,

c is speed of light, a constant (2.998x10⁸m/s)

And f is frequency: 4.464x10¹⁴s⁻¹

Replacing:

λ = 2.998x10⁸m/s / 4.464x10¹⁴s⁻¹

λ = 6.716x10⁻⁷m

As 1m = 1x10⁹nm:

6.716x10⁻⁷m * (1x10⁹nm / 1m) = 671.6nm

Right answer is:

d. 671.6 nm