Question

Two 1 MHz radio antennas emitting in-phase are separated by600

Answer 1

Answer:

1 km

Explanation:

$d_0$ = Gap between antennas = 600 m

$\nu$ = Frequency = 1 MHz

$z_1$ = Distance to receiver = 2 km

c = Speed of light = $3\times 10^8\ m/s$

Wavelength is given by

$\lambda=\dfrac{c}{\nu}\\\Rightarrow \lambda=\dfrac{3\times 10^8}{1\times 10^6}\\\Rightarrow \lambda=300\ m$

Distance to be moved is given by

$D=\dfrac{z_1\lambda_0}{d_0}\\\Rightarrow D=\dfrac{2\times 300}{600}\\\Rightarrow D=1\ km$

The distance to be moved is 1 km north.