Question
The escape velocity for earth is v. A planet having 9 times mass that of earth and radius, 16 times that of earth, has the escape velocity of:
The escape velocity for earth is v. A planet having 9 times mass that of earth and radius, 16 times that of earth, has the escape velocity of:
C. 3 v 4
Escape velopity of object from planet is given by (v_e )_p= 2 G M_p R_p (v_e )_p M_p R_p Now, M_p=9 M_e and R_p=16 R_e (given) (v_e )_p (v_e )_e = M_p R_p R_e M_e = 9 M_e 16 R_e R_e M_e = 9 16 = 3 4 (v_e )_p= 3 4 v
Related: Physics — Gravitation · All PYQ Banks