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JEE Main 2019 (10 Jan, Shift 1) · Time of Flight, Maximum Height & Range

Time of Flight, Maximum Height & Range question from JEE Main 2019 (10 Jan, Shift 1)

Q27JEE Main 2019 · 10 JAN · SHIFT 1Medium

Time of Flight, Maximum Height & Range

Two guns A and B can fire bullets at speeds 1 km/s and 2 km/s respectively. From a point on a horizontal ground, they are fired in all possible directions. The ratio of maximum areas covered by the bullets fired by the two guns, on the ground is -

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Answer: (a)

Maximum area $A = \pi R_{max}^2 = \frac{\pi u^4}{g^2}$ , so $A \propto u^4$ .
$\frac{A_A}{A_B} = \left(\frac{1}{2}\right)^4 = \frac{1}{16}$
So the answer is (a) $1 : 16$ .

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