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  • Given below are two statements : Statement I : For a planet, if the ratio of mass of the planet to its radius increases, the escape velocity from the planet also increases.<

Given below are two statements :
Statement I : For a planet, if the ratio of mass of the planet to its radius increases, the escape velocity from the planet also increases.
Statement II : Escape velocity is independent of the radius of the planet.

In the light of above statements, choose the most appropriate answer form the options given below
 

Option: 1

Both Statement I and Statement II are correct
 


Option: 2

Statement I is correct but statement II is incorrect
 


Option: 3

Statement I is incorrect but statement II is correct
 


Option: 4

Both Statement I and Statement II are incorrect


Answers (1)

best_answer

\mathrm{V}_{\mathrm{e}}=\sqrt{\frac{2 \mathrm{GM}}{\mathrm{R}}}\\ As, \frac{M}{R} increases \Rightarrow V_e increases\\ \mathrm{V}_{\mathrm{e}} \propto \frac{1}{\sqrt{\mathrm{R}}}\\ As, V_e \text{ depends on R}

Posted by

Irshad Anwar

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