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

  • question_answer
    The velocity of projection of a body is increased by 2%. Other factors remaining unchanged, what will be the percentage change in the maximum height attained?

    A) 1%       

    B)        2%  

    C) 4%       

    D)        8%

    Correct Answer: C

    Solution :

    [c] We know that, \[{{\text{y}}_{\text{m}}}=\text{H=}\frac{{{\left( \text{u sin}\theta  \right)}^{2}}}{2\text{g}}\]\[=\frac{{{\text{u}}^{2}}\text{ si}{{\text{n}}^{2}}\theta }{2\text{g}}\] \[\therefore \frac{\Delta \text{H}}{\text{H}}=\frac{2\Delta \text{u}}{\text{u}}.\text{ Given }\frac{\Delta \text{u}}{\text{u}}=2%\] \[\therefore \frac{\Delta \text{H}}{\text{H}}=2\times 2=4%\]


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