Two spherical planets \( P \) and \( Q \) have the same uniform density \( \rho \), masses \( M_...
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Two spherical planets \( P \) and \( Q \) have the same uniform density \( \rho \), masses \( M_{P} \) and \( M_{Q} \), and
P surface areas \( A \) and \( 4 A \), respectively. A spherical planet \( R \) also has uniform density \( \rho \) and its
W mass is \( \left(M_{P}+M_{Q}\right) \). The escape velocities from the planets \( P, Q \) and \( R \), are \( v_{P}, v_{Q} \) and \( v_{R} \), respectively. Then,
(a) \( v_{Q}v_{R}v_{p} \)
(b) \( v_{R}v_{Q}v_{P} \)
(c) \( v_{R} / v_{P}=3 \)
(d) \( v_{P} / v_{Q}=1 / 2 \)
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