JEE PHYSICS MCQ: GRAVITATION

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Gravitational acceleration on the surface of a planet is

\frac{{\sqrt 6 }}{{11}}\mathrm{\;}g,\;

, where

g

is the gravitational acceleration on the surface of earth. The average mass density of the planet is

\frac{2}{3}

times
that of the earth. If the escape speed on the surface of the earth is taken on be

11\mathrm{\;km}{\mathrm{s}^{ - 1}},

the escape speed on the surface of the planet in

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

will be

View answer and explanation

Correct option: C

Option C (3) is correct because the escape speed is proportional to the square root of gR, and using the given ratios, the escape speed on the planet is 3 km/s.

More Questions from GRAVITATION

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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

to the horizontal surface of earth, then the escape velocity would be If different planets have the same density but different radii, then the acceleration due to gravity on the surface of the planet is related to the radius (R) of the planet as Which of the following statement is absolutely correct about mass Statement I: An astronaut in a satellite feels weightlessness:

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