# JEE Main & Advanced Physics Gravitation Gravitational Field Intensity for Different Bodies

Gravitational Field Intensity for Different Bodies

Category : JEE Main & Advanced

(1) Intensity due to uniform solid sphere

 Outside the surface r > R On the surface r = R Inside the surface r < R $I=\frac{GM}{{{r}^{2}}}$ $I=\frac{GM}{{{R}^{2}}}$ $I=\frac{GMr}{{{R}^{3}}}$

(2) Intensity due to spherical shell

 Outside the surface r > R On the surface r = R Inside the surface r < R $I=\frac{GM}{{{r}^{2}}}$ $I=\frac{GM}{{{R}^{2}}}$ I = 0

(3) Intensity due to uniform circular ring

 At a point on its axis At the centre of the ring $I=\frac{GMr}{{{({{a}^{2}}+{{r}^{2}})}^{3/2}}}$ I = 0

(4) Intensity due to uniform disc

 At a point on its axis At the centre of the disc $GM=g{{R}^{2}}$ or $I=\frac{2GM}{{{a}^{2}}}\ (1-\cos \theta )$ I = 0

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