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A RADAR sends a signal to an aeroplane at a distance 300 km away, with a speed of \(3\times {{10}^{8}}\) m/s. After how much time is the signal received back after reflecting from the aeroplane?

Given

RADAR’s sound transmission speed is \(3\times {{10}^{8}}\)m/ s.

The signal’s transmission distance = 300 km = 300000 meters

The signal travels twice, thus the distance is computed twice when it is broadcast and when it is received by the RADAR.

The signal covers a total distance of \(2\times 300000\) meters.

The time it takes to receive the signal after it has been reflected by the plane is

t=d/s

 t= \(\frac{2\times 3\times {{10}^{5}}}{3\times {{10}^{8}}}\)

t = 0.002s

As a result, after reflecting from the aeroplane, the signal is received after 0.002 seconds.