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Question

The density of newly discovered planet is twice that of earth. The acceleration due to gravity at the surface of the planet is equal to that at the surface of the earth. If the radius of the earth is R, the radius of the planet would be:
  1. 2R
  2. 4R
  3. 12R
  4. 14R

A
12R
B
2R
C
4R
D
14R
Solution
Verified by Toppr

Given that,ρplanet=2ρearth
gplanet=2gearth
g=GMR2×43πR343πR3g=43πρGRgplanetgearth=ρpRpρeReRp=ρeRρpρeR2ρpRp=R2

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