👤

A particular color of light has a wavelength of 442 nanometers in free space. What is the frequency of this color of light?(a) 6.79 x 10^14 Hz(b) 6.79 X 10^5 Hz(c) 1.47 x 10^-6 Hz(d) 1.47 x 10^-15 Hz

Answer :

The relationship between wavelength and frequency is given by

[tex]\lambda=\frac{v}{f}[/tex]

Where

λ = wavelength

v = speed of light

f = frequency

The speed of light in free space is 2.998×10⁸ m/s

For the given case, the wavelength is 442×10⁻⁹ m

So, the corresponding frequency of this color of light is

[tex]f=\frac{v}{\lambda}=\frac{2.998\times10^8}{442\times10^{-9}}=6.79\times10^{14}\: Hz[/tex]

Therefore, the frequency of this color of light is 6.79×10¹⁴ Hz

Option A is the correct answer.