First slide

Gravitational field intensity

Question

A spherical planet far out in space has a mass M₀ and diameter D₀. A particle of mass ‘m’ falling freely near the surface of this planet will experience an acceleration due to gravity which is equal to

Easy

A

$\large \frac {GM_0}{D_0^2}$
B

$\large 4m\frac {GM_0}{D_0^2}$
C

$\large 4\frac {GM_0}{D_0^2}$
D

$\large \frac {GmM_0}{D_0^2}$

Solution

$\large g=\frac {GM_0}{R^2}=\frac {GM_0}{(D_0/2)^2}=\frac {4GM_0}{D_0^2}$

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