Question

A long range early warning radar system used for air defense operates at a frequency of
126 MHZ (126,000,000 Hz). What is the wavelength of the electrical oscillations in the radar
system?

Answer 1

Answer:

Wavelength of the electrical oscillation in radar system is 2.38 m

Explanation:

Formula Used :

$\nu =\frac{c}{\lambda }$

On transposing

$\lambda =\frac{c}{\nu }$

Here,

c = Speed of light = $3.00\times 10^{8}$ m/s

$\lambda$ = Wavelength

$\nu$ = frequency = 126 MHz

$\nu = 126\times 10^{6}$ Hz

Put the values in the formula ,

$\lambda =\frac{c}{\nu }$

$\lambda =\frac{3.00\times 10^{8}}{126\times 10^{6}}$

$\lambda = 2.381$

$\lambda$ = 2.38 m

So wavelength of oscillation is 2.38 m

Unit Calculations:

$1 Hz = 1 s^{-1}$

$\nu = s^{-1}$

$c = ms^{-1}$

$\lambda = \frac{ ms^{-1}}{ s^{-1}}$

$\lambda = m$