AIEEE 2004 | Gravitation Question 180 | Physics

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

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

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

$${gx}$$

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

AIEEE 2003

MCQ (Single Correct Answer)

-1

The time period of satellite of earth is $$5$$ hours. If the separation between the earth and the satellite is increased to $$4$$ times the previous value, the new time period will become

$$10$$ hours

$$80$$ hours

$$40$$ hours

$$20$$ hours

AIEEE 2003

MCQ (Single Correct Answer)

-1

The escape velocity for a body projected vertically upwards from the surface of earth is $$11$$ $$km/s.$$ If the body is projected at an angle of $${45^ \circ }$$ with the vertical, the escape velocity will be

$$11\sqrt 2 \,\,km/s$$

$$22$$ $$km/s$$

$$11$$ $$km/s$$

$${{11} \over {\sqrt 2 }}km/s$$

AIEEE 2003

MCQ (Single Correct Answer)

-1

Two spherical bodies of mass $$M$$ and $$5M$$ & radii $$R$$ & $$2R$$ respectively are released in free space with initial separation between their centers equal to $$12R$$. If they attract each other due to gravitational force only, then the distance covered by the smaller body just before collision is

$$2.5$$ $$R$$

$$4.5$$ $$R$$

$$7.5$$ $$R$$

$$1.5$$ $$R$$

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