Earth Satellites
PHXI08:GRAVITATION

359770 The period of revolution of an earth's satellite close to surface of earth is \(90 \mathrm{~min}\). The time period of another satellite in an orbit at a distance of four times the radius of earth from its centre will be

1 \(90 \sqrt{9} \mathrm{~min}\)
2 \(270 \mathrm{~min}\)
3 \(720 \mathrm{~min}\)
4 \(360 \mathrm{~min}\)
PHXI08:GRAVITATION

359771 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

1 \(R^{3 / 5}\)
2 \(R^{1 / 2}\)
3 \(R^{7 / 4}\)
4 \(R^{7 / 2}\)
PHXI08:GRAVITATION

359772 Two satellites \(A\) and \(B\) revolve round the same planet in coplanar circular orbits lying in the same plane. Their periods of revolutions are \(1\;h\) and \(8\;h\), respectively. The radius of the orbit of \(A\) is \({10^4}\;km\). The speed of \(B\) is relative to \(A\), when they are closed in \(km{\rm{/}}h\) is

1 \(3 \pi \times 10^{4}\)
2 \({\rm{Zero}}\)
3 \(2 \pi \times 10^{4}\)
4 \(\pi \times 10^{4}\)
PHXI08:GRAVITATION

359773 A satellite is revolving in a circular orbit at a height ' \(h\) ' from the earth's surface (radius of earth \(R;h < < R\) ). The minimum increase in its orbital velocity required, so that the satellite could escape from the earth's gravitational field, is close to : (Neglect the effect of atmosphere.)

1 \(\sqrt{g R}\)
2 \(\sqrt{g R / 2}\)
3 \(\sqrt{g R}(\sqrt{2}-1)\)
4 \(\sqrt{2 g R}\)
PHXI08:GRAVITATION

359774 The orbital velocity of an artificial satellite in a circular orbit just above the earth's surface is \(v_{0}\). The orbital velocity of a satellite orbiting at an altitude of half of the radius, is

1 \(\dfrac{3}{2} v_{o}\)
2 \(\dfrac{2}{3} v_{0}\)
3 \(\sqrt{\dfrac{2}{3}} v_{o}\)
4 \(\sqrt{\dfrac{3}{2}} v_{0}\)
PHXI08:GRAVITATION

359770 The period of revolution of an earth's satellite close to surface of earth is \(90 \mathrm{~min}\). The time period of another satellite in an orbit at a distance of four times the radius of earth from its centre will be

1 \(90 \sqrt{9} \mathrm{~min}\)
2 \(270 \mathrm{~min}\)
3 \(720 \mathrm{~min}\)
4 \(360 \mathrm{~min}\)
PHXI08:GRAVITATION

359771 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

1 \(R^{3 / 5}\)
2 \(R^{1 / 2}\)
3 \(R^{7 / 4}\)
4 \(R^{7 / 2}\)
PHXI08:GRAVITATION

359772 Two satellites \(A\) and \(B\) revolve round the same planet in coplanar circular orbits lying in the same plane. Their periods of revolutions are \(1\;h\) and \(8\;h\), respectively. The radius of the orbit of \(A\) is \({10^4}\;km\). The speed of \(B\) is relative to \(A\), when they are closed in \(km{\rm{/}}h\) is

1 \(3 \pi \times 10^{4}\)
2 \({\rm{Zero}}\)
3 \(2 \pi \times 10^{4}\)
4 \(\pi \times 10^{4}\)
PHXI08:GRAVITATION

359773 A satellite is revolving in a circular orbit at a height ' \(h\) ' from the earth's surface (radius of earth \(R;h < < R\) ). The minimum increase in its orbital velocity required, so that the satellite could escape from the earth's gravitational field, is close to : (Neglect the effect of atmosphere.)

1 \(\sqrt{g R}\)
2 \(\sqrt{g R / 2}\)
3 \(\sqrt{g R}(\sqrt{2}-1)\)
4 \(\sqrt{2 g R}\)
PHXI08:GRAVITATION

359774 The orbital velocity of an artificial satellite in a circular orbit just above the earth's surface is \(v_{0}\). The orbital velocity of a satellite orbiting at an altitude of half of the radius, is

1 \(\dfrac{3}{2} v_{o}\)
2 \(\dfrac{2}{3} v_{0}\)
3 \(\sqrt{\dfrac{2}{3}} v_{o}\)
4 \(\sqrt{\dfrac{3}{2}} v_{0}\)
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
PHXI08:GRAVITATION

359770 The period of revolution of an earth's satellite close to surface of earth is \(90 \mathrm{~min}\). The time period of another satellite in an orbit at a distance of four times the radius of earth from its centre will be

1 \(90 \sqrt{9} \mathrm{~min}\)
2 \(270 \mathrm{~min}\)
3 \(720 \mathrm{~min}\)
4 \(360 \mathrm{~min}\)
PHXI08:GRAVITATION

359771 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

1 \(R^{3 / 5}\)
2 \(R^{1 / 2}\)
3 \(R^{7 / 4}\)
4 \(R^{7 / 2}\)
PHXI08:GRAVITATION

359772 Two satellites \(A\) and \(B\) revolve round the same planet in coplanar circular orbits lying in the same plane. Their periods of revolutions are \(1\;h\) and \(8\;h\), respectively. The radius of the orbit of \(A\) is \({10^4}\;km\). The speed of \(B\) is relative to \(A\), when they are closed in \(km{\rm{/}}h\) is

1 \(3 \pi \times 10^{4}\)
2 \({\rm{Zero}}\)
3 \(2 \pi \times 10^{4}\)
4 \(\pi \times 10^{4}\)
PHXI08:GRAVITATION

359773 A satellite is revolving in a circular orbit at a height ' \(h\) ' from the earth's surface (radius of earth \(R;h < < R\) ). The minimum increase in its orbital velocity required, so that the satellite could escape from the earth's gravitational field, is close to : (Neglect the effect of atmosphere.)

1 \(\sqrt{g R}\)
2 \(\sqrt{g R / 2}\)
3 \(\sqrt{g R}(\sqrt{2}-1)\)
4 \(\sqrt{2 g R}\)
PHXI08:GRAVITATION

359774 The orbital velocity of an artificial satellite in a circular orbit just above the earth's surface is \(v_{0}\). The orbital velocity of a satellite orbiting at an altitude of half of the radius, is

1 \(\dfrac{3}{2} v_{o}\)
2 \(\dfrac{2}{3} v_{0}\)
3 \(\sqrt{\dfrac{2}{3}} v_{o}\)
4 \(\sqrt{\dfrac{3}{2}} v_{0}\)
PHXI08:GRAVITATION

359770 The period of revolution of an earth's satellite close to surface of earth is \(90 \mathrm{~min}\). The time period of another satellite in an orbit at a distance of four times the radius of earth from its centre will be

1 \(90 \sqrt{9} \mathrm{~min}\)
2 \(270 \mathrm{~min}\)
3 \(720 \mathrm{~min}\)
4 \(360 \mathrm{~min}\)
PHXI08:GRAVITATION

359771 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

1 \(R^{3 / 5}\)
2 \(R^{1 / 2}\)
3 \(R^{7 / 4}\)
4 \(R^{7 / 2}\)
PHXI08:GRAVITATION

359772 Two satellites \(A\) and \(B\) revolve round the same planet in coplanar circular orbits lying in the same plane. Their periods of revolutions are \(1\;h\) and \(8\;h\), respectively. The radius of the orbit of \(A\) is \({10^4}\;km\). The speed of \(B\) is relative to \(A\), when they are closed in \(km{\rm{/}}h\) is

1 \(3 \pi \times 10^{4}\)
2 \({\rm{Zero}}\)
3 \(2 \pi \times 10^{4}\)
4 \(\pi \times 10^{4}\)
PHXI08:GRAVITATION

359773 A satellite is revolving in a circular orbit at a height ' \(h\) ' from the earth's surface (radius of earth \(R;h < < R\) ). The minimum increase in its orbital velocity required, so that the satellite could escape from the earth's gravitational field, is close to : (Neglect the effect of atmosphere.)

1 \(\sqrt{g R}\)
2 \(\sqrt{g R / 2}\)
3 \(\sqrt{g R}(\sqrt{2}-1)\)
4 \(\sqrt{2 g R}\)
PHXI08:GRAVITATION

359774 The orbital velocity of an artificial satellite in a circular orbit just above the earth's surface is \(v_{0}\). The orbital velocity of a satellite orbiting at an altitude of half of the radius, is

1 \(\dfrac{3}{2} v_{o}\)
2 \(\dfrac{2}{3} v_{0}\)
3 \(\sqrt{\dfrac{2}{3}} v_{o}\)
4 \(\sqrt{\dfrac{3}{2}} v_{0}\)
PHXI08:GRAVITATION

359770 The period of revolution of an earth's satellite close to surface of earth is \(90 \mathrm{~min}\). The time period of another satellite in an orbit at a distance of four times the radius of earth from its centre will be

1 \(90 \sqrt{9} \mathrm{~min}\)
2 \(270 \mathrm{~min}\)
3 \(720 \mathrm{~min}\)
4 \(360 \mathrm{~min}\)
PHXI08:GRAVITATION

359771 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

1 \(R^{3 / 5}\)
2 \(R^{1 / 2}\)
3 \(R^{7 / 4}\)
4 \(R^{7 / 2}\)
PHXI08:GRAVITATION

359772 Two satellites \(A\) and \(B\) revolve round the same planet in coplanar circular orbits lying in the same plane. Their periods of revolutions are \(1\;h\) and \(8\;h\), respectively. The radius of the orbit of \(A\) is \({10^4}\;km\). The speed of \(B\) is relative to \(A\), when they are closed in \(km{\rm{/}}h\) is

1 \(3 \pi \times 10^{4}\)
2 \({\rm{Zero}}\)
3 \(2 \pi \times 10^{4}\)
4 \(\pi \times 10^{4}\)
PHXI08:GRAVITATION

359773 A satellite is revolving in a circular orbit at a height ' \(h\) ' from the earth's surface (radius of earth \(R;h < < R\) ). The minimum increase in its orbital velocity required, so that the satellite could escape from the earth's gravitational field, is close to : (Neglect the effect of atmosphere.)

1 \(\sqrt{g R}\)
2 \(\sqrt{g R / 2}\)
3 \(\sqrt{g R}(\sqrt{2}-1)\)
4 \(\sqrt{2 g R}\)
PHXI08:GRAVITATION

359774 The orbital velocity of an artificial satellite in a circular orbit just above the earth's surface is \(v_{0}\). The orbital velocity of a satellite orbiting at an altitude of half of the radius, is

1 \(\dfrac{3}{2} v_{o}\)
2 \(\dfrac{2}{3} v_{0}\)
3 \(\sqrt{\dfrac{2}{3}} v_{o}\)
4 \(\sqrt{\dfrac{3}{2}} v_{0}\)