Gas escapes from the surface of a planet b

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Gas escapes from the surface of a planet because it acquires an escape velocity. The escape velocity will depend on which of the following factors :

$I.$ Mass of the planet

$II.$ Mass of the particle escaping

$III.$ Temperature of the planet

$IV.$ Radius of the planet

Select the correct answer from the codes given below :

A

$I$ and $II$

B

$II$ and $IV$

C

$I$ and $IV$

D

$I, III$ and $IV$

Gas escapes from the surface of a planet because it acquires an escape velocity. The escape velocity will depend on which of the following factors :

$I.$ Mass of the planet

$II.$ Mass of the particle escaping

$III.$ Temperature of the planet

$IV.$ Radius of the planet

Select the correct answer from the codes given below :

${v_e} = \sqrt {\frac{{2GM}}{R}} $

i.e. escape velocity depends upon the mass and radius of the planet.