If the minimum range is to be doubled in a radar, the peak power has to be increased by a factor of

Question

Question

This question was previously asked in

URSC ISRO Technical Assistant Electronics 24 March 2019 Official Paper

Answer 1

The range of the radar is given as:

\(R = {\left[ {\frac{{{P_t}{G^2}\sigma {A_e}}}{{{{\left( {4\pi } \right)}^2}{P_r}}}} \right]^{\frac{1}{4}}}\)

G= Antenna Gain

σ = Radar Cross-Section

Pr = Reflected Power

Ae = Effective Area of the Antenna

Observation:

We observe that, R ∝ (Pt)1/4

Now, to double the range R, Pt has to be increased by a factor of 16