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Physics · PYQ NEET UG 2016(1)
हिन्दीAt what height from the surface of earth the gravitation potential and the value of \( g \) are \( -5.4 \times 10^7\text{ J kg}^{-2} \) and \( 6.0\text{ ms}^{-2} \) respectively? Take the radius of earth as \( 6400\text{ km} \)
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Correct answer · Option D
\( 2600\text{ km} \)
Explanation
Gravitational potential \( V = -\frac{GM}{R+h} \) and \( g' = \frac{GM}{(R+h)^2} \). Dividing \( V^2/g' \) gives \( \frac{GM}{g'} = R+h \). Substituting values yields \( R+h = 9000\text{ km} \), so \( h = 9000 - 6400 = 2600\text{ km} \).
