The radii of two planets are respectively R 1 and R 2 and their densities are respectively -1 and -2- The ratio of the accelerations due to gravity at their surface isA- g1- g2-R1-2- R2-1B- g1- g2-1-R12- -1-R22C- g1- g2-R1-2- R2-1D- g1- g2-R1 R2- -1-2

The correct option is C Acceleration due to gravity g=4/3 πρ GR ∴ g_1 : g_2 = R_1 ρ_1 : R_2 ρ_2 ...

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Standard XII

Physics

Understanding of Field

The radii of ...

Question

The radii of two planets are respectively $R_{1}$ and $R_{2}$ and their densities are respectively $ρ_{1} a n d ρ_{2}$ . The ratio of the accelerations due to gravity at their surface is

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Solution

The correct option is D

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

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The radii of two planets are respectively R1 and R2 and their densities are respectively ρ1 and ρ2. The ratio of the accelerations due to gravity at their surface is

The correct option is D Acceleration due to gravity g=43 πρ GR ∴ g1:g2 = R1 ρ1 : R2ρ2

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The correct option is D

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