Question

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

Answer 1

The answer is 7.5 x 10-₇ m

Answer 2

Answer: The wavelength of the wave travelling through vaccum is
`7.5* 10^(-7)m`

Step-by-step explanation:

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

`\\u=(c)/(\lambda)`

Rearranging the terms,

`\lambda=(c)/(\\u)`

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

`\\u` = Frequency of the wave =
`4.0* 10^(14)s^(-1)`

c = Speed of light in vacuum =
`3.0* 10^8m/s`

Putting values in above equation, we get:

`\lambda=(3.0* 10^8m/s)/(4.0* 10^(14)s^(-1))\\\\\lambda=0.75* 10^(-6)m=7.5* 10^(-7)m`

Hence, wavelength of the wave in vacuum will be
`7.5* 10^(-7)m`