Gamma Question Bank for Medical Physics>Chapter 8 - Gravitation>Assignment>Q 4

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A particle is projected vertically upwards with a speed of $\sqrt{g R}$ from earth's surface. The maximum height attained by it is (Where $R$ is the radius of earth)

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Important Questions on Gravitation

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Gamma Question Bank for Medical Physics>Chapter 8 - Gravitation>Assignment>Q 5

A geostationary satellite is orbiting the earth at a height of

6 R

above the surface of earth. The time period of another satellite at

3.5 R

from the centre, of earth is (where

R

is the radius of earth)

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Gamma Question Bank for Medical Physics>Chapter 8 - Gravitation>Assignment>Q 6

A particle is projected vertically upwards from the surface of earth (radius of earth is

R

) with a kinetic energy equal to one fourth of the minimum value needed for it to escape. The height to which it rises above the surface of earth is

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Gamma Question Bank for Medical Physics>Chapter 8 - Gravitation>Assignment>Q 7

A satellite revolving around earth has kinetic energy

E_{0},

then its potential energy and total energy will be

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Gamma Question Bank for Medical Physics>Chapter 8 - Gravitation>Assignment>Q 8

The distance of two planets from the sun are

10^{12} m

and

10^{11} m .

The ratio of their time period is

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Gamma Question Bank for Medical Physics>Chapter 8 - Gravitation>Assignment>Q 9

The escape speed of a projectile on earth's surface is

11.2 km s^{- 1} .

A body is projected out with twice of this speed. The speed of body far away from the earth is (Ignore the presence of other bodies)

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Gamma Question Bank for Medical Physics>Chapter 8 - Gravitation>Assignment>Q 10

Two planets have the same average mass density but their radii are in the ratio $1: 2$. The ratio of their respective acceleration due to gravity is

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Gamma Question Bank for Medical Physics>Chapter 8 - Gravitation>Assignment>Q 11

The kinetic energies of a planet in an elliptical orbit about the sun at positions $A, B$ and $C$ are $K_{A}, K_{B}$ and $K_{C}$ respectively. If $A C$ is the major axis and $S B$ is perpendicular to $A C$ at the position of the sun $S$ as shown in the figure, then