SATHEE: Gravitation - Result Question 11

Gravitation - Result Question 11

11. A spherical planet has a mass $M_{P}$ and diameter $D_{P}$ . A particle of mass $m$ falling freely near the surface of this planet will experience an acceleration due to gravity, equal to: [2012]

(a) $4 G M_{P} / D_{P}^{2}$

(b) $G M_{P} m / D_{P}^{2}$

(d) $4 G M_{P} m / D_{P}^{2}$

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Answer:

Correct Answer: 11. (a)

Solution:

(a) Gravitational attraction force on particle B,

$F_{g} = \frac{G M_{P} m}{(D_{P} / 2)^{2}}$

Acceleration of particle due to gravity

$a = \frac{F_{g}}{m} = \frac{4 G M_{P}}{D_{P}^{2}}$

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Gravitation - Result Question 11

11. A spherical planet has a mass MP and diameter DP. A particle of mass m falling freely near the surface of this planet will experience an acceleration due to gravity, equal to: [2012]

Answer:

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11. A spherical planet has a mass $M_{P}$ and diameter $D_{P}$ . A particle of mass $m$ falling freely near the surface of this planet will experience an acceleration due to gravity, equal to: [2012]