Question

An infrared wave traveling through a vacuum has a frequency of 4.0 × 1014 Hz. What is the wave’s wavelength?

Answer 1

Answer: The wavelength of the wave travelling through vaccum is $7.5\times 10^{-7}m$

Explanation:

To calculate the wavelength of the wave, we use the formula:

$\nu=\frac{c}{\lambda}$

Rearranging the terms,

$\lambda=\frac{c}{\nu}$

Where, $\lambda$ = wavelength of the wave = ?

$\nu$ = Frequency of the wave = $4.0\times 10^{14}s^{-1}$

c = Speed of light in vacuum = $3.0\times 10^8m/s$

Putting values in above equation, we get:

$\lambda=\frac{3.0\times 10^8m/s}{4.0\times 10^{14}s^{-1}}\\\\\lambda=0.75\times 10^{-6}m=7.5\times 10^{-7}m$

Hence, wavelength of the wave in vacuum will be $7.5\times 10^{-7}m$

Answer 2

 The answer is  7.5 x 10-₇ m