JEE Advanced 2012 Physics question
Two spherical planets P and Q have the same uniform density ρ, masses and , and surface areas A and 4A, respectively. A spherical planet R also has uniform density ρ and its mass is . The escape velocities from the planets P, Q and R, are , and , respectively. Then
Answer: (B),(D)
Solution
Surface areas A and 4A mean radii r and 2r, so with equal densities . Escape speed , proportional to the radius for the same density. Planet R has
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