Question

Calculate the wavelength in centimeters of radar energy at a frequency of 10 GHz. What is the frequency in gigahertz of radar energy at a wavelength of 25 cm

Answer 1

Step-by-step explanation:

(a) Frequency of radar energy,
`f = 10\ GHz =10^(10)\ Hz`

The relation between frequency and wavelength is given by :

`c=f\lambda`

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

`\lambda=(3* 10^8)/(10^(10))`

`\lambda=0.03\ m`

or

`\lambda=3\ cm`

(b) If wavelength,
`\lambda=25\ cm=0.25\ m`

`c=f\lambda`

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

`f=(3* 10^8)/(0.25)`

`f=1.2* 10^9\ Hz`

or

f = 1.2 GHz

Hence, this is the required solution.