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`        A planet has twice the density of earth but the acceleration due to gravity on its surface is exactly the same a on the surface of earth. Its radius in terms of radiusof earth R will be`
2 years ago

```							We have, g = GM / R^2.....Since density  = mass / volume, we can write mass, M = density * volume.Therefore, g = [G*density*volume] / R^2Substituting volume = 4/3 * pi * R^3 in tha above eqn..So g = [4/3 * pi * R^3 * G * density] / R^2 =  4/3 * pi * R * G * density Therefore, ratio of radius of planet to that of earth is:R(planet) / R(earth) = Density(earth) / Density(planet) = ½or R(planet) = R(earth) / 2So the answer is R/2, where R is the radius of earth
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2 years ago
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