JEE Main & Advanced Physics Two Dimensional Motion Sample Paper Topic Test - Two Dimensional Motion

  • question_answer
    A large number of bullets are fired in all directions with same speed \[v\]. What is the maximum area on the ground on which these bullets will spread

    A) \[\pi \frac{{{v}^{2}}}{g}\]

    B) \[\pi \frac{{{v}^{4}}}{{{g}^{2}}}\]

    C) \[{{\pi }^{2}}\frac{{{v}^{4}}}{{{g}^{2}}}\]

    D) \[{{\pi }^{2}}\frac{{{v}^{2}}}{{{g}^{2}}}\]

    Correct Answer: B

    Solution :

    [b] Area in which bullet will spread = \[\pi {{r}^{2}}\] For maximum area, \[r={{R}_{\max }}=\frac{{{v}^{2}}}{g}[\text{when }\theta \,\,=45{}^\circ ]\] Maximum area \[\pi \ R_{\max }^{2}=\pi {{\left( \frac{{{v}^{2}}}{g} \right)}^{2}}=\frac{\pi {{v}^{4}}}{{{g}^{2}}}\]

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