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A radar sends an electromagnetic signal of electric field $(E_{o}) = 2.25 V / m$ and magnetic field $(B_{0}) = 1.5 \times 10^{- 8} T$ which strikes a target on line of sight at a distance of 3 km in a medium. After that, a part of signal (echo) reflects back towards the radar with same velocity and by same path. If the signal was transmitted at time t=0 from radar, then after how much time echo will reach to the radar?

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$4.0 \times 10^{- 5} s$

$2.0 \times 10^{- 5} s$

$1.0 \times 10^{- 5} s$

$8.0 \times 10^{- 5} s$

answer is B.

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Detailed Solution

$\begin{array}{l} C = \frac{E_{0}}{B_{0}} = \frac{2 .25}{1 .5 \times 10^{- 8}} = 1 .5 \times 10^{8} {ms}^{- 1} \\ t = \frac{6 \times 10^{3}}{1 .5 \times 10^{8}} = 4 \times 10^{- 5} s \end{array}$

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