The ratio of escape velocity at earth υ e to the escape velocity at a planet υ p whose radius and mean…

The ratio of escape velocity at earth υe to the escape velocity at a planet υp whose radius and mean density are twice as that of earth is:
  1. 1:2
  2. 1:22
  3. 1:4
  4. 1:2

Solution

vevP=2GMeRe2GMPRP=MeRPMPRe=ρe43 πRe3RPρp43 πRP3Re
vevP=ρeRe2ρpRP2=12×22=122 ~

Asked in: NEET 2016 (Phase 1)

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