Question

The speed of light is 3.0 x 10^8 m/s. If the wavelength of a light wave is 5.8 x 10^-7 m, what is its frequency

Answer 1

Answer:

The frequency is 517.24 THz

Explanation:

Given:

The speed of light = 3.0 x $10^{8}$ m/s

The wavelength of light wave = 5.8 x $10^{-7}$ m

Frequency = ?

We know that the relation among speed of light, wavelength and frequency is given by

  c = νλ , where

c is speed of light

ν is the frequency

λ is the wavelength

To find the frequency(ν):

ν = c / λ

  = $\frac{3.0 x 10^{8} ms^{-1} }{5.8 x 10^{-7}m }$

  =$\frac{3}{5.8}$ x $10^{15}$

  = (3000/5.8) x $10^{12}$

  = 517.24 x $10^{12}$ $s^{-1}$

  = 517.24 x $10^{12}$ Hz (since 1 $s^{-1}$ = 1 Hz)

  = 517.24 THz (Tera Hertz)

Hence the frequency is 517.24 THz.