JEE PHYSICS MCQ: GRAVITATION

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Application +4 | -1

If the radius of earth shrinks by

2 \%

while its mass remains same. The acceleration due to gravity on the earth's surface will approximately

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Correct option: D

Increase by

4 \%

Option D (Increase by

4\%

) is correct because the acceleration due to gravity is inversely proportional to the square of the radius, so a decrease in radius leads to an increase in g.

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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:

Statement II: As observed by another astronaut's in the same satellite, force of gravity and centrifugal force balance each other. An iron ball and a wooden ball of the same radius are released from a height 'h' in vacuum. The time taken by both of them to reach the ground is