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JEE Main & Advanced Physics Two Dimensional Motion Question Bank Self Evaluation Test - Motion in a Plane

  • question_answer
    A plane flying horizontally at a height of 1500 m with a velocity of \[200\text{ m}{{\text{s}}^{-1}}\] passes directly overhead on antiaircraft gun. Then the angle with the horizontal at which the gun should be fired from the shell with a muzzle velocity of 400 \[\text{m}{{\text{s}}^{-1}}\]to hit the plane, is

    A) \[90{}^\circ \,\]

    B)                    \[60{}^\circ \]

    C) \[30{}^\circ \]              

    D)        \[45{}^\circ \]

    Correct Answer: B

    Solution :

    [b] Horizontal distance covered should be same for the time of collision. \[400\,\,\cos \theta =200\text{ or }\,\text{cos}\theta \text{=}\frac{1}{2}\text{ or }\theta \,\text{=}\,\,\text{60}{}^\circ \]


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