(D) The correct option is $D$.$A$ relay satellite,commonly known as a geostationary satellite,must remain fixed relative to a point on the Earth's sur

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Period is equal to the period of rotation of the earth about its axis

(D) The correct option is $D$.$A$ relay satellite,commonly known as a geostationary satellite,must remain fixed relative to a point on the Earth's surface to provide continuous signal transmission.For this to occur,the orbital period of the satellite must be exactly equal to the period of rotation of the Earth about its axis,which is $24$ hours.If the periods were not equal,the satellite would appear to move across the sky,making continuous communication impossible.

Class 11 Physics Gravitation Motion of Satellites in Circular Orbits and Planets in Elliptical Orbits

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The relay satellite transmits the television signals continuously from one part of the world to another because its

A
Period is greater than the period of rotation of the earth
B
Period is less than the period of rotation of the earth
C
Period has no relation with the period of the earth about its axis
D
Period is equal to the period of rotation of the earth about its axis

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Class 11

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Gravitation

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Motion of Satellites in Circular Orbits and Planets in Elliptical Orbits

Assertion $(A):$ An astronaut in an orbiting space station above the earth experiences weightlessness.
Reason $(R):$ An object moving around the earth under the influence of earth's gravitational force is in a state of 'free fall'.

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$A$ small planet is revolving around a very massive star in a circular orbit of radius $R$ with a period of revolution $T$. If the gravitational force between the planet and the star were proportional to $R^{-5/2}$,then $T$ would be proportional to:

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On a hypothetical planet,a satellite can only revolve in quantized energy levels,i.e.,the magnitude of the energy of a satellite is an integer multiple of a fixed energy. If two successive orbits have radii $R$ and $\frac{3R}{2}$,what could be the maximum radius of the satellite (in $R$)?

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Two satellites $P$ and $Q$ go round a planet in circular orbits having radii $3R$ and $R$ respectively. If the speed of satellite $P$ is $2V$,what will be the speed of satellite $Q$?

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Express the constant $k$ of $T^{2}=k(R_{E}+h)^{3}$ in days and kilometres. Given $k = 10^{-13} \; s^{2} \; m^{-3}$. The moon is at a distance of $3.84 \times 10^{5} \; km$ from the earth. Obtain its time period of revolution in days.

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The relay satellite transmits the television signals continuously from one part of the world to another because its

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Assertion $(A):$ An astronaut in an orbiting space station above the earth experiences weightlessness.Reason $(R):$ An object moving around the earth under the influence of earth's gravitational force is in a state of 'free fall'.

$A$ small planet is revolving around a very massive star in a circular orbit of radius $R$ with a period of revolution $T$. If the gravitational force between the planet and the star were proportional to $R^{-5/2}$,then $T$ would be proportional to:

On a hypothetical planet,a satellite can only revolve in quantized energy levels,i.e.,the magnitude of the energy of a satellite is an integer multiple of a fixed energy. If two successive orbits have radii $R$ and $\frac{3R}{2}$,what could be the maximum radius of the satellite (in $R$)?

Two satellites $P$ and $Q$ go round a planet in circular orbits having radii $3R$ and $R$ respectively. If the speed of satellite $P$ is $2V$,what will be the speed of satellite $Q$?

Express the constant $k$ of $T^{2}=k(R_{E}+h)^{3}$ in days and kilometres. Given $k = 10^{-13} \; s^{2} \; m^{-3}$. The moon is at a distance of $3.84 \times 10^{5} \; km$ from the earth. Obtain its time period of revolution in days.

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Assertion $(A):$ An astronaut in an orbiting space station above the earth experiences weightlessness.
Reason $(R):$ An object moving around the earth under the influence of earth's gravitational force is in a state of 'free fall'.