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

Wavelength of the electrical oscillation in radar system is 2.38 m

Step-by-step explanation:

Formula Used :

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

On transposing

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

Here,

c = Speed of light =
`3.00* 10^(8)` m/s

`\lambda` = Wavelength

`\\u` = frequency = 126 MHz

`\\u = 126* 10^(6)` Hz

Put the values in the formula ,

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

`\lambda =(3.00* 10^(8))/(126* 10^(6))`

`\lambda = 2.381`

`\lambda` = 2.38 m

So wavelength of oscillation is 2.38 m

Unit Calculations:

`1 Hz = 1 s^(-1)`

`\\u = s^(-1)`

`c = ms^(-1)`

`\lambda = ( ms^(-1))/( s^(-1))`

`\lambda = m`