First slide

Gravitational field intensity

Question

The radii of two planets are respectively R₁ and R₂ and their densities are respectively $ρ_{1}$ and $ρ_{2}$ . The ratio of the accelerations due to gravity at their surfaces is

Moderate

A

$g_{1} : g_{2} = \frac{ρ_{1}}{R_{1}^{2}} : \frac{ρ_{2}}{R_{2}^{2}}$
B

$g_{1} : g_{2} = R_{1} R_{2} : ρ_{1} ρ_{2}$
C

$g_{1} : g_{2} = R_{1} ρ_{2} : R_{2} ρ_{1}$
D

$g_{1} : g_{2} = R_{1} ρ_{1} : R_{2} ρ_{2}$

Solution

Acceleration due to gravity $g = \frac{4}{3} πρGR$
$∴ g_{1} : g_{2} = R_{1} ρ_{1} : R_{2} ρ_{2}$

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App