JEE Main Physics question
If a planet of given density were made larger (keeping its density unchanged) its force of attraction for an object on its surface would increase because of increased mass of the planet but would decrease because of larger separation between the centre and the surface. Which effect would dominate? **[J & K CET 2005]**
Answer: (A)
Solution
For constant density, . Doubling (say) multiplies the mass by but the inverse-square distance term only divides the force by , so the net force still rises — the growth in mass () outpaces the fall from increased separation (), giving a net
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