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The ratio of the radii of planets {A} and {B} is k_{1} and rat

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The ratio of the radii of planets $A$ and $B$ is $k_{1}$ and ratio of acceleration due to gravity on them is $k_{2}$ . The ratio of escape velocities from them will be

k_{1} k_{2}

k_{1} k_{2}

\frac{k _{1}}{k _{2}}

\frac{k _{2}}{k _{1}}

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Updated on: Mar 25, 2023

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William Discussed

The ratio of the radii of planets

A

and

B

k_{1}

and ratio of acceleration due to gravity on them is

k_{2}

. The ratio of escape velocities from them will be

13 mins ago

Discuss this question LIVE

13 mins ago

Text solutionVerified

Escape velocity is given as

v = 2 g R

\Rightarrow \frac{v _{A}}{v _{B}} = \frac{g _{A}}{g _{B}} \times \frac{R _{A}}{R _{B}} = k_{1} \times k_{2}

= k_{1} k_{2}

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Question Text	The ratio of the radii of planets $A$ and $B$ is $k_{1}$ and ratio of acceleration due to gravity on them is $k_{2}$ . The ratio of escape velocities from them will be
Updated On	Mar 25, 2023
Topic	Gravitation
Subject	Physics
Class	Class 11
Answer Type	Text solution:1 Video solution: 4
Upvotes	520
Avg. Video Duration	8 min

The ratio of the radii of planets $A$ and $B$ is $k_{1}$ and ratio of acceleration due to gravity on them is $k_{2}$ . The ratio of escape velocities from them will be

Text solutionVerified

Filo tutor solutions (4)

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The ratio of the radii of planets A and B is k1​ and ratio of acceleration due to gravity on them is k2​. The ratio of escape velocities from them will be

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The ratio of the radii of planets $A$ and $B$ is $k_{1}$ and ratio of acceleration due to gravity on them is $k_{2}$ . The ratio of escape velocities from them will be