An object is taken to a height (Earth's radius) and then given a horizontal velocity…

PHYSICS · Single correct · CBSE · Physics · Gravitation · Gravitation

Problem

An object is taken to a height h=Reh = R_e (Earth's radius) and then given a horizontal velocity vv parallel to Earth surface. Column I shows the different values of imparted velocity whereas Column II represents the path followed by the object. Now match the column.
Column-IColumn-II
(A)GM3R\sqrt{\frac{GM}{3R}}(P)Hyperbola
(B)2GM3R\sqrt{\frac{2GM}{3R}}(Q)Parabolic
(C)GMR\sqrt{\frac{GM}{R}}(R)Ellipse, point of projection at perigee
(D)2GMR\sqrt{\frac{2GM}{R}}(S)Elliptical, point of projection is at apogee
(T)Escape
(A) A-S; B-R; C-Q,T; D-P,T (B) A-Q; B-P; C-Q,T; D-P,T (C) A-P; B-S; C-Q,T; D-P,T,R (D) A-R; B-S; C-Q,T; D-P,T,R

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