AIEEE 2005 | Gravitation Question 198 | Physics

A particle of mass $$10$$ $$g$$ is kept on the surface of a uniform sphere of mass $$100$$ $$kg$$ and radius $$10$$ $$cm.$$ Find the work to be done against the gravitational force between them to take the particle far away from the sphere (you may take $$G$$ $$ = 6.67 \times {10^{ - 11}}\,\,N{m^2}/k{g^2}$$)

$$3.33 \times {10^{ - 10}}\,J$$

$$13.34 \times {10^{ - 10}}\,J$$

$$6.67 \times {10^{ - 10}}\,J$$

$$6.67 \times {10^{ - 9}}\,J$$

AIEEE 2004

MCQ (Single Correct Answer)

-1

If $$g$$ is the acceleration due to gravity on the earth's surface, the gain in the potential energy of an object of mass $$m$$ raised from the surface of the earth to a height equal to the radius $$R$$ of the earth is

$${1 \over 4}mgR$$

$$2mgR$$

$${1 \over 2}mgR$$

$$mgR$$

AIEEE 2004

MCQ (Single Correct Answer)

-1

A satellite of mass $$m$$ revolves around the earth of radius $$R$$ at a height $$x$$ from its surface. If $$g$$ is the acceleration due to gravity on the surface of the earth, the orbital speed of the satellite is

$${{g{R^2}} \over {R + x}}$$

$${{gR} \over {R - x}}$$

$${gx}$$

$${\left( {{{g{R^2}} \over {R + x}}} \right)^{1/2}}$$

PREVIOUS NEXT

Questions from Gravitation

MCQ (Single Correct Answer) · No. in brackets = question count