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In a radar sy...

Question

In a radar system, if peak transmitted power is increased by a factorof $81$ , then the maximum-range will be increased by a factor of

A

3

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B

6

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C

9

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D

27

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Solution

The correct option is A $3$
$R_{m a x i m u m r a n g e} \propto P^{\frac{1}{4}}$
$⟹ \frac{R}{R_{1}} = {(81)}^{\frac{1}{4}} = 3$
$⟹ R = 3 R_{1}$

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