Verified Solution • 2025–26 Session moderate

QJEEM21Ph9588: JEE Main 2021 Physics - Class 11 JEEM21Ph9588 Solution: Consider a planet in some solar system which has a mass double…

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

Multiple Choice Options

  • A 2W
  • B W
  • C 213{2^{{1 \over 3}}} W
  • D 2\sqrt 2 W

Step-by-Step Verified Solution

Density is same

M=43πR3ρ,2m=43πR′3ρM = {4 \over 3}\pi {R^3}\rho ,2m = {4 \over 3}\pi R{'^3}\rho

R′=21/3RR' = {2^{1/3}}R

ω=GMmR2\omega = {{GMm} \over {{R^2}}}

ω2=G2MmR′2{\omega _2} = {{G2Mm} \over {R{'^2}}}

ω2=21/3ω{\omega _2} = {2^{1/3}}\omega

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