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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