JEE PHYSICS MCQ: GRAVITATION

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Statement-1: Period of revolution of satellite in circular orbit around earth is inversely proportional to its orbital speed.
Statement-2: Period of revolution in uniform circular motion is given by

T=\frac{2 \pi r}{v}

where

r

is radius of orbit and

v

is speed.

View answer and explanation

Correct option: D

Statement-1 is false, Statement-2 is true

Option D (Statement-1 is false, Statement-2 is true) is correct because the period is directly proportional to the radius and inversely proportional to the speed, but the relationship isn't a simple inverse proportionality due to the dependence of orbital speed on the radius.

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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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