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JCECE Medical JCECE Medical Solved Paper-2005

  • question_answer
    A body is projected vertically upwards from the surface of a planet of radius r with a velocity equal to 1/3rd the escape velocity for the planet. The maximum height attained by the body is:

    A)  R/2           

    B)  R/3

    C)  R/5          

    D)  R/9

    Correct Answer: D

    Solution :

     Key Idea: Escape velocity \[{{v}_{e}}=\sqrt{2gR}\] Let h be 'the maximum height attained, then from equation of motion \[{{v}^{2}}={{u}^{2}}+2gh\] When, \[u=0,v=\sqrt{2gh}\] Given, \[v=\frac{{{v}_{e}}}{3}\] where, \[{{v}_{e}}=\sqrt{2gR}\] \[\therefore \] \[\sqrt{2gh}=\frac{1}{3}\sqrt{2gR}\] Squaring both sides of equation, we get \[h=\frac{R}{9}\]


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