A body is imparted a velocity v from the surface of the earth. If v_0 is the orbital velocity and v_e is the escape velocity, then

JEE Main Physics question

A body is imparted a velocity from the surface of the earth. If is the orbital velocity and is the escape velocity, then

(A)for , the body follows a circular track around the earth.Correct
(B)for , the body follows an elliptical path and returns to the surface of earth.Correct
(C)for , the body follows an elliptical path and returns to the surface of earth.Correct
(D)for , the body follows a hyperbolic path and escapes the gravitational pull of the earth.Correct

Answer: (A),(B),(C),(D)

Solution

Launched horizontally from the surface: at the orbit is circular (A). For , the orbit is a bound ellipse with the launch point as perigee, so the body periodically returns to the same surface point (B). For , the orbit would be an ellipse with the

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Question ID VK-154503