Physics - Gravitation Question with Solution | TestHub

PhysicsGravitationEnergy & PotentialEasy2 minPYQ_2015

PhysicsEasysingle choice

Which of the following most closely depicts the correct variation of the gravitation potential, $V (r)$ with distance $r$ due to a large planet of radius $R$ and uniform mass density? (figures are not drawn to scale)

Options:

Answer:

Solution:

At inside points $(r < R)$ , $V = - \frac{G M}{2 R^{3}} (3 R^{2} - r^{2})$ . So at the centre, $r = 0 \Rightarrow V = - \frac{3}{2} \frac{G M}{R}$ . At outside points $(r > R)$ , $V = \frac{- G M}{r}$ . At surface, $V = \frac{- G M}{R}$ . So the gravitational potential is non-uniform and negative.

Stream:JEESubject:PhysicsTopic:GravitationSubtopic:Energy & Potential

⏱ 2mℹ️ Source: PYQ_2015

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