Question

2) calculate the wavelength, in nanometers, of infrared radiation that has a frequency of 9.76 x 1013 hz.

Answer 1

The relationship between wavelength, frequency and speed of an electromagnetic wave is given by

`c= \lambda f`
where
c is the speed of light

`\lambda` is the wavelength
f is the frequency

The infrared radiation of our problem has frequency
`f=9.76 \cdot 10^(13)Hz`, therefore if we re-arrange the previous equation we can calculate its wavelength:

`\lambda= (c)/(f)= (3 \cdot 10^8 m/s)/(9.76 \cdot 10^(13) Hz)=3.07 \cdot 10^(-6) m`
and converted into nanometers,

`\lambda=3070 nm`