AIEEE 2005 | Gravitation Question 197 | Physics

The change in the value of $$g$$ at a height $$h$$ above the surface of the earth is the same as at a depth $$d$$ below the surface of earth. When both $$d$$ and $$h$$ are much smaller than the radius of earth, then which one of the following is correct?

$$d = {{3h} \over 2}$$

$$d = {h \over 2}$$

$$d = h$$

$$d = 2\,h$$

AIEEE 2005

MCQ (Single Correct Answer)

-1

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

The time period of an earth satellite in circular orbit is independent of

both the mass and radius of the orbit

radius of its orbit

the mass of the satellite

neither the mass of the satellite nor the radius of its orbit