contestada

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

Respuesta :

Explanation:

(a) Frequency of radar energy, [tex]f = 10\ GHz =10^{10}\ Hz[/tex]

The relation between frequency and wavelength is given by :

[tex]c=f\lambda[/tex]

[tex]\lambda=\dfrac{c}{f}[/tex]

[tex]\lambda=\dfrac{3\times 10^8}{10^{10}}[/tex]

[tex]\lambda=0.03\ m[/tex]

or

[tex]\lambda=3\ cm[/tex]

(b) If wavelength, [tex]\lambda=25\ cm=0.25\ m[/tex]

[tex]c=f\lambda[/tex]

[tex]f=\dfrac{c}{\lambda}[/tex]

[tex]f=\dfrac{3\times 10^8}{0.25}[/tex]

[tex]f=1.2\times 10^9\ Hz[/tex]

or

f = 1.2 GHz

Hence, this is the required solution.