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JEE Main & Advanced Physics Gravitation / गुरुत्वाकर्षण Question Bank Self Evaluation Test - Gravitation

  • question_answer
    Assume that the acceleration due to gravity on the surface of the moon is 0.2 times the acceleration due to gravity on the surface of the earth. If \[{{\operatorname{R}}_{e}}\]is the maximum range of a projectile on the earth's surface, what is the maximum range on the surface of the moon for the same velocity of projection                                                

    A) \[0.2{{\operatorname{R}}_{e}}\]

    B) \[2{{\operatorname{R}}_{e}}\] 

    C) \[0.5{{\operatorname{R}}_{e}}\]

    D) \[5{{\operatorname{R}}_{e}}\]

    Correct Answer: D

    Solution :

    [d] Range of projectile \[R=\frac{{{u}^{2}}\sin 2\theta }{g}\] if u and \[\theta \] are constant then \[R\propto \frac{1}{g}\] \[\frac{{{R}_{m}}}{{{\operatorname{R}}_{e}}}=\frac{{{g}_{e}}}{{{g}_{m}}}\Rightarrow \frac{{{R}_{m}}}{{{\operatorname{R}}_{e}}}=\frac{1}{0.2}\] \[\Rightarrow {{R}_{m}}=\frac{{{\operatorname{R}}_{e}}}{0.2}\Rightarrow {{R}_{m}}=5{{\operatorname{R}}_{e}}\]


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