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JEE Main & Advanced Physics Work, Energy, Power & Collision / कार्य, ऊर्जा और शक्ति Question Bank Critical Thinking

  • question_answer
    If g is the acceleration due to gravity on the earth's surface, the gain in the potential energy of an object of mass m raised from the surface of earth to a height equal to the radius of the earth R, is                          [IIT 1983]

    A)             \[\frac{1}{2}mgR\]

    B)               2 mgR

    C)             mgR    

    D)             \[\frac{1}{4}mgR\]

    Correct Answer: A

    Solution :

                    Gain in potential energy \[\Delta U=\frac{mgh}{1+\frac{h}{R}}\] If \[h=R\] then \[\Delta U=\frac{mgR}{1+\frac{R}{R}}=\frac{1}{2}mgR\]


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