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Two spherical planets P and Q have the same uniform density `rho,` masses `M_p and M_Q` and surface areas A and 4A respectively. A spherical planet R also has uniform density `rho` and its mass is `(M_P + M_Q).` The escape velocities from the plantes P,Q and R are `V_P V_Q and V_R` respectively. ThenA. `V_(Q)gtV_(R)gtV_(P)`B. `V_(R)gtV_(Q)gtV_(P)`C. `V_(R)//V_(P)=3`D. `V_(P)//V_(Q)=1/2` |
Answer» Correct Answer - B::D `V_(P)=sqrt((2GM)/(R)),V_(Q)=sqrt((2G(8M))/(2R))=2V_(P)` `V_(R)=sqrt((2G(9M))/(9^(1//3)R))=9^(1//3)V_(P)` |
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