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Q.

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

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a

2 R

b

4 R

c

14R

d

12R

answer is D.

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Detailed Solution

Given that, dplanet = 2 dearthand gplanet = gearth∴ GMpRp2=GMeRe2 or MpRp2=MeRe2or 43πRp3dpRp2=43πRe3deRe2or Rp×dp=Re×deor Rp=Rededp=Re2=R2

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