Escape velocity of a body from earth is 11 . 2 km s - 1 . If the radius of a planet be one-third the radius…

Escape velocity of a body from earth is 11.2 km s-1. If the radius of a planet be one-third the radius of earth and mass be one-sixth that of earth, the escape velocity from the plate is:
  1. 11.2 km s-1
  2. 8.4 km s-1
  3. 4.2 km s-1
  4. 7.9 km s-1

Solution

Given: RP=RE3, MP=ME6

Escape velocity is given by, v=2GMR

Therefore,

vE=2GMERE ...(i)

vP=2GMPRP...(ii)

⇒vEvP=2

⇒vP=vE2=11.22=7.9 km s-1

Asked in: JEE Main 2024 (30 Jan Shift 2)

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