Question

It is determined that a certain wave of infrared light has a wavelength of 8.45 mm. Given that c=2.99 ×108 m/s, what is the frequency of this infrared wave? (Round your answer to three significant figures.) Hz

Answer 1

f=3.54 × 1010 Hz

Step-by-step explanation:

Use the relationship f=vλ to solve for frequency f. Substituting the known quantities yields:

λ=8.45 mm = 8.45 ×10-3 mf=vλf=2.99 × 108 m/s8.45 ×10-3 mf=3.538×1010

answer rounded off to 3 significant digits is

f=3.54 × 1010 Hz

Answer 2

The frequency of infrared wave is 35.385 GHz

Step-by-step explanation:

Given data:

Wavelength of infrared light = 8.45 mm = 8.45 x
`10^(-3)` m

Velocity of infrared light = 2.99 x
`10^(8)` m/s

To find: frequency of the infrared wave = ?

We know that the wavelength and frequency are inversely proportional and the formula to derive frequency with velocity and wavelength is:

c = μλ, where

c is velocity of light

μ is frequency of light

λ is wavelength of light

Hence the frequency of light μ = c/λ

=
`(2.99 x 10^(8) m/s )/(8.45 x 10^(-3)m )`

=
`(299)/(8.45)` x
`10^(9)`
`s^(-1)`

= 35.385 x
`10^(9)` Hz (since 1
`s^(-1)` = 1 Hz)

= 35.385 GHz