Question

If a carrier wave of 1000 khz is used to carry the signal, the length of transmitting antenna will be equal to

Answer 1

we know,
speed of wave = wavelength of wave × frequency of wave.

here speed of wave = speed of light = 3 × 10^8 m/s
and frequency of wave = 1000kHz
= 1000 × 1000 = 10^6 Hz

so, wavelength of wave = speed of light /frequency of wave
= 3 × 10^8/10^6 = 3 × 10^2 m = 300m

hence, length of transmitting antenna = wavelength of wave = 300m

Answer 2

Given:

Frequency = 1000 kHz

To find:

The length of the transmitting signal

Solution:

By formula,

Wave speed = Wave wavelength * wave frequency

Where,

Wave speed =  3 × 10^8 m / s

Wave frequency = 10^6 Hz

Hence,

Wave wavelength = Wave speed / wave frequency

Substituting,

We get,

3 * 10^8 / 10^6

3 × 10^2

Hence,

Wave wavelength = 300 m