Kinematics

JEE Main level, single correct, medium

265 of 308

Question 265 of 308

Two guns AA and BB can fire bullets at speeds 1km/s1km/s and 2km/s2km/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) 1:161:16

A1A2=π(Rmax)12π(Rmax)22=u14u24=116\dfrac{{A}_{1}}{{A}_{2}}=\dfrac{\pi {\left({R}_{max}\right)}_{1}^{2}}{\pi {\left({R}_{max}\right)}_{2}^{2}}=\dfrac{{u}_{1}^{4}}{{u}_{2}^{4}}=\dfrac{1}{16}

[∵max.Range=u2g]\left[∵ max. Range=\dfrac{{u}^{2}}{g}\right]

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