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JEE Main & Advanced Physics Gravitation / गुरुत्वाकर्षण Question Bank Kepler's Laws of Planetary Motion

  • question_answer
    The condition for a uniform spherical mass m of radius r to be a black hole is [G= gravitational constant and g= acceleration due to gravity]                        [AIIMS 2005]

    A)             \[{{(2Gm/r)}^{1/2}}\le c\]

    B)               \[{{(2Gm/r)}^{1/2}}=c\]

    C)             \[{{(2Gm/r)}^{1/2}}\ge c\]

    D)               \[{{(gm/r)}^{1/2}}\ge c\]

    Correct Answer: C

    Solution :

                    Escape velocity for that body \[{{v}_{e}}=\sqrt{\frac{2Gm}{r}}\]                         \[{{v}_{e}}\] should be more than or equal to speed of light i.e.\[\sqrt{\frac{2Gm}{r}}\ge c\]


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