JEE PHYSICS MCQ: GRAVITATION

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The Earth is assumed to be a sphere of radius R. A platform is arranged at a height R from the surface of the Earth. The escape velocity of a body from this platform is

fv

, where

v

is its escape velocity from the surface of the Earth. The value of f is

View answer and explanation

Correct option: D

\frac{1}{{\sqrt 2 }}

Option D (

\frac{1}{{\sqrt 2 }}

) is correct because the escape velocity is inversely proportional to the square root of the distance from the center of the Earth.

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The escape velocity for a body projected vertically upwards from the surface of the earth is

11.2\mathrm{\;\;km}{\mathrm{s}^{ - 1}}

. If the body is projected in a direction making an angle of

{45^0}

with the vertical, the escape velocity will be The escape velocity of a body projected from the surface of earth is

v_e

. If the body is projected at an angle

\theta

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