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Home » Choose the correct alternative:(a) Acceleration due to gravity is independent of the mass of the earth/mass of the body.(b) The formula is more/less accurate than the formula for the difference of potential energy between two points and distance away from the centre of the earth.
Choose the correct alternative:
(a) Acceleration due to gravity is independent of the mass of the earth/mass of the body.
(b) The formula -G\mathrm{M} \mathbf{m}\left(1 / \mathbf{r}_{2}-1 / \mathbf{r}_{1}\right) is more/less accurate than the formula \mathrm{mg}\left(\mathrm{r}_{2}-\mathrm{r}_{1}\right) for the difference of potential energy between two points r_{2} and r_{1} distance away from the centre of the earth.
CBSE | Class 11 | Gravitation | NCERT | Physics
Choose the correct alternative:
(a) Acceleration due to gravity is independent of the mass of the earth/mass of the body.
(b) The formula -G\mathrm{M} \mathbf{m}\left(1 / \mathbf{r}_{2}-1 / \mathbf{r}_{1}\right) is more/less accurate than the formula \mathrm{mg}\left(\mathrm{r}_{2}-\mathrm{r}_{1}\right) for the difference of potential energy between two points r_{2} and r_{1} distance away from the centre of the earth.

(a)

Acceleration due to gravity is given by the formula: g=G{{M}_{e}} /{{ {R}_{e}}^{2}} is
Hence, it is independent of mass of body, but is dependent on mass of earth.

(b)

Gravitational potential energy is given by the formula:U=-\frac{G{{m}_{1}}{{m}_{2}}}{r}
 g=G{{M}_{e}} /{{ {R}_{e}}^{2}}  assuming distance between object and earth is nearly equal to the radius of the earth.
Substituting the second equation in first, we get 
Hence, the first formula is more accurate.
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