Earth Satellites
PHXI08:GRAVITATION

359762 If the time period of a satellite is \(20\) hours and is in equatorial plane rotating in the direction of earth's rotation (\(i.e.\) west to east), then for an observer at a fixed point on the Earth, the time interval between two consecutive overhead appearances will be

1 \(90\,h\)
2 \(150\,h\)
3 \(120\,h\)
4 \(190\,h\)
PHXI08:GRAVITATION

359763 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

1 \(g x\)
2 \(\left(\dfrac{g R^{2}}{R+x}\right)^{1 / 2}\)
3 \(\dfrac{g R^{2}}{R+x}\)
4 \(\dfrac{g R}{R-x}\)
PHXI08:GRAVITATION

359764 Assertion :
For a satellite revolving very near to earth's surface the time period of revolution is given by 1 hour 24 minutes.
Reason :
The period of revolution of a satellite depend only upon its height above the earth's surface.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI08:GRAVITATION

359765 Two satellites of mass \(m\) and 9\(m\) are orbiting a planet in orbits of radius \(R\). Their periods of revolution will be in the ratio of

1 \(9: 1\)
2 \(3: 1\)
3 \(1: 1\)
4 \(1: 3\)
PHXI08:GRAVITATION

359762 If the time period of a satellite is \(20\) hours and is in equatorial plane rotating in the direction of earth's rotation (\(i.e.\) west to east), then for an observer at a fixed point on the Earth, the time interval between two consecutive overhead appearances will be

1 \(90\,h\)
2 \(150\,h\)
3 \(120\,h\)
4 \(190\,h\)
PHXI08:GRAVITATION

359763 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

1 \(g x\)
2 \(\left(\dfrac{g R^{2}}{R+x}\right)^{1 / 2}\)
3 \(\dfrac{g R^{2}}{R+x}\)
4 \(\dfrac{g R}{R-x}\)
PHXI08:GRAVITATION

359764 Assertion :
For a satellite revolving very near to earth's surface the time period of revolution is given by 1 hour 24 minutes.
Reason :
The period of revolution of a satellite depend only upon its height above the earth's surface.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI08:GRAVITATION

359765 Two satellites of mass \(m\) and 9\(m\) are orbiting a planet in orbits of radius \(R\). Their periods of revolution will be in the ratio of

1 \(9: 1\)
2 \(3: 1\)
3 \(1: 1\)
4 \(1: 3\)
PHXI08:GRAVITATION

359762 If the time period of a satellite is \(20\) hours and is in equatorial plane rotating in the direction of earth's rotation (\(i.e.\) west to east), then for an observer at a fixed point on the Earth, the time interval between two consecutive overhead appearances will be

1 \(90\,h\)
2 \(150\,h\)
3 \(120\,h\)
4 \(190\,h\)
PHXI08:GRAVITATION

359763 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

1 \(g x\)
2 \(\left(\dfrac{g R^{2}}{R+x}\right)^{1 / 2}\)
3 \(\dfrac{g R^{2}}{R+x}\)
4 \(\dfrac{g R}{R-x}\)
PHXI08:GRAVITATION

359764 Assertion :
For a satellite revolving very near to earth's surface the time period of revolution is given by 1 hour 24 minutes.
Reason :
The period of revolution of a satellite depend only upon its height above the earth's surface.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI08:GRAVITATION

359765 Two satellites of mass \(m\) and 9\(m\) are orbiting a planet in orbits of radius \(R\). Their periods of revolution will be in the ratio of

1 \(9: 1\)
2 \(3: 1\)
3 \(1: 1\)
4 \(1: 3\)
PHXI08:GRAVITATION

359762 If the time period of a satellite is \(20\) hours and is in equatorial plane rotating in the direction of earth's rotation (\(i.e.\) west to east), then for an observer at a fixed point on the Earth, the time interval between two consecutive overhead appearances will be

1 \(90\,h\)
2 \(150\,h\)
3 \(120\,h\)
4 \(190\,h\)
PHXI08:GRAVITATION

359763 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

1 \(g x\)
2 \(\left(\dfrac{g R^{2}}{R+x}\right)^{1 / 2}\)
3 \(\dfrac{g R^{2}}{R+x}\)
4 \(\dfrac{g R}{R-x}\)
PHXI08:GRAVITATION

359764 Assertion :
For a satellite revolving very near to earth's surface the time period of revolution is given by 1 hour 24 minutes.
Reason :
The period of revolution of a satellite depend only upon its height above the earth's surface.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI08:GRAVITATION

359765 Two satellites of mass \(m\) and 9\(m\) are orbiting a planet in orbits of radius \(R\). Their periods of revolution will be in the ratio of

1 \(9: 1\)
2 \(3: 1\)
3 \(1: 1\)
4 \(1: 3\)