A mass of $50 kg$ is placed at the center of a uniform spherical shell of mass $100 kg$ and radius $50 m$ . If the gravitational potential at a point, $25 m$ from the center is $V kg/m$ . The value of $V$ is:

- 4 G

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- 60 G

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- 20 G

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+ 2 G

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Solution

The correct option is A $- 4 G$
Gravitational potential at point $P$ is given by :
$V_{P} = \frac{- G M_{1}}{r} + \frac{- G M_{2}}{R}$
$V_{P} = \frac{- 50 G}{25} + \frac{- 100 G}{50}$
$\Rightarrow V_{P} = - 4 G$

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A mass of 50 kg is placed at the center of a uniform spherical shell of mass 100 kg and radius 50 m. If the gravitational potential at a point, 25 m from the center is V kg/m. The value of V is:

The correct option is A −4G Gravitational potential at point P is given by : VP=−GM1r+−GM2R VP=−50G25+−100G50 ⇒VP=−4G

A mass of $50 kg$ is placed at the center of a uniform spherical shell of mass $100 kg$ and radius $50 m$ . If the gravitational potential at a point, $25 m$ from the center is $V kg/m$ . The value of $V$ is:

The correct option is A $- 4 G$
Gravitational potential at point $P$ is given by :
$V_{P} = \frac{- G M_{1}}{r} + \frac{- G M_{2}}{R}$
$V_{P} = \frac{- 50 G}{25} + \frac{- 100 G}{50}$
$\Rightarrow V_{P} = - 4 G$