The ratio of escape velocity at earth (ve) to the escape

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The ratio of escape velocity at earth (v_e) to the escape velocity at a planet (v_p) whose radius and mean density are twice as that of earth is :

1. 1 : 2
2. 1 : 2 √2
3. 1 : 4
4. 1 : 2

Correct Option: B

As we know, escape velocity,

⇒	V_c	=	R_c	√ρ_c / 2ρ_c
	V_p		2R_c

∴ Ratio	V_c	= 1 : 2 √2
	V_p