Consider a planet in some solar system that has a mass double the mass of earth and density equal to the…

Consider a planet in some solar system that has a mass double the mass of earth and density equal to the average density of the earth. If the weight of an object on earth is W, the weight of the same object on that planet will be:
  1. 2W
  2. W
  3. 213W
  4. 2 W

Solution

Density is same

M=43πR3ρ, 2m=43πR'3ρ

R'=213R

W=GMmR2

W2=G2MmR'2

W2=213W

Asked in: JEE Main 2021 (25 Jul Shift 2)

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