The two planets have radii r_1 and r_2 and th | vedclass

Name: PDF Generator App | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

$g=\frac{G M}{r^{2}}=G \cdot \frac{4}{3} \frac{\pi r^{3} p}{r^{2}}=G \cdot \frac{4}{3} \pi r p$

$	herefore \quad \frac{g_{1}}{g_{2}}=\frac{r_{1} p

Vedclass · Accepted Answer

$r_1 p_1 : r_2 p_2$

Vedclass · Answer

$g=\frac{G M}{r^{2}}=G \cdot \frac{4}{3} \frac{\pi r^{3} p}{r^{2}}=G \cdot \frac{4}{3} \pi r p$

$	herefore \quad \frac{g_{1}}{g_{2}}=\frac{r_{1} p_{1}}{r_{2} p_{2}}$

The two planets have radii $r_1$ and $r_2$ and their densities $p_1$ and $p_2$ respectively. The ratio of acceleration due to gravity on them will be

Similar Questions

A particle of mass $M$ is at a distance $'a'$ from surface of a thin spherical shell of uniform equal mass and having radius $a$

The height at which the weight of a body becomes $\frac{1}{9} ^{th}$ its weight on the surface of earth (radius of earth is $R$)

If the change in the value of ' $g$ ' at a height ' $h$ ' above the surface of the earth is same as at a depth $x$ below it, then ( $x$ and $h$ being much smaller than the radius of the earth)

A rocket of mass $M$ is launched vertically from the surface of the earth with an initial speed $V$. Assuming the radius of the earth to be $R$ and negligible air resistance, the maximum height attained by the rocket above the surface of the earth is

A geo-stationary satellite is orbiting the earth at a height of $5R$ above surface of the earth, $R$ being the radius of the earth. The time period of another satellite in hours at a height of $2R$ from the surface of earth is