Earth Satellites
PHXI08:GRAVITATION

359727 A body of mass \(m\) is moving in a circular orbit of radius \(R\) about a planet of mass \(M\). At some instant, it splits into two equal masses. The first mass moves in a circular orbit of radius \(\dfrac{R}{2}\) and the other mass, in a circular orbit of radius \(\dfrac{3 R}{2}\). The difference bewteen the final and initial total energies is:

1 \(+\dfrac{G m}{6 R}\)
2 \(-\dfrac{G M m}{2 R}\)
3 \(-\dfrac{G M m}{6 R}\)
4 \(\dfrac{G M m}{2 R}\)
PHXI08:GRAVITATION

359728 A satellite of \({10^3}\;kg\) mass is revolving in circular orbit of radius \(2\,R\). If \(\dfrac{10^{4} R}{6} J\) energy is supplied to the satellite, it would revolve in a new circular orbit of radius(use \(g = 10\;m/{s^2},\) \(R = \) radius of earth)

1 \(6\,R\)
2 \(2.5\,R\)
3 \(3\,R\)
4 \(4\,R\)
PHXI08:GRAVITATION

359729 A satellite is orbiting with areal velocity \(v_{a}\) in circular orbit. At what height from the surface of the earth, it is rotating, if the radius of earth is \(R\) ?

1 \(\dfrac{4 v_{a}^{2}}{g R^{2}}-R\)
2 \(\dfrac{2 v_{a}^{2}}{g R^{2}}-R\)
3 \(\dfrac{v_{a}^{2}}{g R^{2}}-R\)
4 \(\dfrac{v_{a}^{2}}{2 g R^{2}}-R\)
PHXI08:GRAVITATION

359730 The figure shows the variation of energy with the orbit radius of a body in circular planetary motion. Find the correct statement about the curves \(A,B\) and \(C\)
supporting img

1 \(A\) shows the kinetic energy, \(B\) the potential energy and \(C\) the total energy of the system
2 \(C\) shows the total energy, \(B\) the kinetic energy and \(A\) the potential energy system
3 \(C\) and \(A\) are kinetic and potential energies respectively and \(B\) is the total energy of the system
4 \(A\) and \(B\) are the kinetic and potential energies respectively and \(C\) is the total energy of the system
PHXI08:GRAVITATION

359731 Two satellites \(P\) and \(Q\) of same mass are revolving near the earth surface in the equitorial plane. The satellite \(P\) moves in the direction of rotation of earth whereas \(Q\) moves in the opposite direction. The ratio of their kinetic energies with respect to a frame attached to earth will be -

1 \(\left(\dfrac{7437}{8363}\right)^{2}\)
2 \(\left(\dfrac{8363}{7437}\right)^{2}\)
3 \(\left(\dfrac{7437}{8363}\right)\)
4 \(\left(\dfrac{8363}{7437}\right)\)
PHXI08:GRAVITATION

359727 A body of mass \(m\) is moving in a circular orbit of radius \(R\) about a planet of mass \(M\). At some instant, it splits into two equal masses. The first mass moves in a circular orbit of radius \(\dfrac{R}{2}\) and the other mass, in a circular orbit of radius \(\dfrac{3 R}{2}\). The difference bewteen the final and initial total energies is:

1 \(+\dfrac{G m}{6 R}\)
2 \(-\dfrac{G M m}{2 R}\)
3 \(-\dfrac{G M m}{6 R}\)
4 \(\dfrac{G M m}{2 R}\)
PHXI08:GRAVITATION

359728 A satellite of \({10^3}\;kg\) mass is revolving in circular orbit of radius \(2\,R\). If \(\dfrac{10^{4} R}{6} J\) energy is supplied to the satellite, it would revolve in a new circular orbit of radius(use \(g = 10\;m/{s^2},\) \(R = \) radius of earth)

1 \(6\,R\)
2 \(2.5\,R\)
3 \(3\,R\)
4 \(4\,R\)
PHXI08:GRAVITATION

359729 A satellite is orbiting with areal velocity \(v_{a}\) in circular orbit. At what height from the surface of the earth, it is rotating, if the radius of earth is \(R\) ?

1 \(\dfrac{4 v_{a}^{2}}{g R^{2}}-R\)
2 \(\dfrac{2 v_{a}^{2}}{g R^{2}}-R\)
3 \(\dfrac{v_{a}^{2}}{g R^{2}}-R\)
4 \(\dfrac{v_{a}^{2}}{2 g R^{2}}-R\)
PHXI08:GRAVITATION

359730 The figure shows the variation of energy with the orbit radius of a body in circular planetary motion. Find the correct statement about the curves \(A,B\) and \(C\)
supporting img

1 \(A\) shows the kinetic energy, \(B\) the potential energy and \(C\) the total energy of the system
2 \(C\) shows the total energy, \(B\) the kinetic energy and \(A\) the potential energy system
3 \(C\) and \(A\) are kinetic and potential energies respectively and \(B\) is the total energy of the system
4 \(A\) and \(B\) are the kinetic and potential energies respectively and \(C\) is the total energy of the system
PHXI08:GRAVITATION

359731 Two satellites \(P\) and \(Q\) of same mass are revolving near the earth surface in the equitorial plane. The satellite \(P\) moves in the direction of rotation of earth whereas \(Q\) moves in the opposite direction. The ratio of their kinetic energies with respect to a frame attached to earth will be -

1 \(\left(\dfrac{7437}{8363}\right)^{2}\)
2 \(\left(\dfrac{8363}{7437}\right)^{2}\)
3 \(\left(\dfrac{7437}{8363}\right)\)
4 \(\left(\dfrac{8363}{7437}\right)\)
PHXI08:GRAVITATION

359727 A body of mass \(m\) is moving in a circular orbit of radius \(R\) about a planet of mass \(M\). At some instant, it splits into two equal masses. The first mass moves in a circular orbit of radius \(\dfrac{R}{2}\) and the other mass, in a circular orbit of radius \(\dfrac{3 R}{2}\). The difference bewteen the final and initial total energies is:

1 \(+\dfrac{G m}{6 R}\)
2 \(-\dfrac{G M m}{2 R}\)
3 \(-\dfrac{G M m}{6 R}\)
4 \(\dfrac{G M m}{2 R}\)
PHXI08:GRAVITATION

359728 A satellite of \({10^3}\;kg\) mass is revolving in circular orbit of radius \(2\,R\). If \(\dfrac{10^{4} R}{6} J\) energy is supplied to the satellite, it would revolve in a new circular orbit of radius(use \(g = 10\;m/{s^2},\) \(R = \) radius of earth)

1 \(6\,R\)
2 \(2.5\,R\)
3 \(3\,R\)
4 \(4\,R\)
PHXI08:GRAVITATION

359729 A satellite is orbiting with areal velocity \(v_{a}\) in circular orbit. At what height from the surface of the earth, it is rotating, if the radius of earth is \(R\) ?

1 \(\dfrac{4 v_{a}^{2}}{g R^{2}}-R\)
2 \(\dfrac{2 v_{a}^{2}}{g R^{2}}-R\)
3 \(\dfrac{v_{a}^{2}}{g R^{2}}-R\)
4 \(\dfrac{v_{a}^{2}}{2 g R^{2}}-R\)
PHXI08:GRAVITATION

359730 The figure shows the variation of energy with the orbit radius of a body in circular planetary motion. Find the correct statement about the curves \(A,B\) and \(C\)
supporting img

1 \(A\) shows the kinetic energy, \(B\) the potential energy and \(C\) the total energy of the system
2 \(C\) shows the total energy, \(B\) the kinetic energy and \(A\) the potential energy system
3 \(C\) and \(A\) are kinetic and potential energies respectively and \(B\) is the total energy of the system
4 \(A\) and \(B\) are the kinetic and potential energies respectively and \(C\) is the total energy of the system
PHXI08:GRAVITATION

359731 Two satellites \(P\) and \(Q\) of same mass are revolving near the earth surface in the equitorial plane. The satellite \(P\) moves in the direction of rotation of earth whereas \(Q\) moves in the opposite direction. The ratio of their kinetic energies with respect to a frame attached to earth will be -

1 \(\left(\dfrac{7437}{8363}\right)^{2}\)
2 \(\left(\dfrac{8363}{7437}\right)^{2}\)
3 \(\left(\dfrac{7437}{8363}\right)\)
4 \(\left(\dfrac{8363}{7437}\right)\)
PHXI08:GRAVITATION

359727 A body of mass \(m\) is moving in a circular orbit of radius \(R\) about a planet of mass \(M\). At some instant, it splits into two equal masses. The first mass moves in a circular orbit of radius \(\dfrac{R}{2}\) and the other mass, in a circular orbit of radius \(\dfrac{3 R}{2}\). The difference bewteen the final and initial total energies is:

1 \(+\dfrac{G m}{6 R}\)
2 \(-\dfrac{G M m}{2 R}\)
3 \(-\dfrac{G M m}{6 R}\)
4 \(\dfrac{G M m}{2 R}\)
PHXI08:GRAVITATION

359728 A satellite of \({10^3}\;kg\) mass is revolving in circular orbit of radius \(2\,R\). If \(\dfrac{10^{4} R}{6} J\) energy is supplied to the satellite, it would revolve in a new circular orbit of radius(use \(g = 10\;m/{s^2},\) \(R = \) radius of earth)

1 \(6\,R\)
2 \(2.5\,R\)
3 \(3\,R\)
4 \(4\,R\)
PHXI08:GRAVITATION

359729 A satellite is orbiting with areal velocity \(v_{a}\) in circular orbit. At what height from the surface of the earth, it is rotating, if the radius of earth is \(R\) ?

1 \(\dfrac{4 v_{a}^{2}}{g R^{2}}-R\)
2 \(\dfrac{2 v_{a}^{2}}{g R^{2}}-R\)
3 \(\dfrac{v_{a}^{2}}{g R^{2}}-R\)
4 \(\dfrac{v_{a}^{2}}{2 g R^{2}}-R\)
PHXI08:GRAVITATION

359730 The figure shows the variation of energy with the orbit radius of a body in circular planetary motion. Find the correct statement about the curves \(A,B\) and \(C\)
supporting img

1 \(A\) shows the kinetic energy, \(B\) the potential energy and \(C\) the total energy of the system
2 \(C\) shows the total energy, \(B\) the kinetic energy and \(A\) the potential energy system
3 \(C\) and \(A\) are kinetic and potential energies respectively and \(B\) is the total energy of the system
4 \(A\) and \(B\) are the kinetic and potential energies respectively and \(C\) is the total energy of the system
PHXI08:GRAVITATION

359731 Two satellites \(P\) and \(Q\) of same mass are revolving near the earth surface in the equitorial plane. The satellite \(P\) moves in the direction of rotation of earth whereas \(Q\) moves in the opposite direction. The ratio of their kinetic energies with respect to a frame attached to earth will be -

1 \(\left(\dfrac{7437}{8363}\right)^{2}\)
2 \(\left(\dfrac{8363}{7437}\right)^{2}\)
3 \(\left(\dfrac{7437}{8363}\right)\)
4 \(\left(\dfrac{8363}{7437}\right)\)
PHXI08:GRAVITATION

359727 A body of mass \(m\) is moving in a circular orbit of radius \(R\) about a planet of mass \(M\). At some instant, it splits into two equal masses. The first mass moves in a circular orbit of radius \(\dfrac{R}{2}\) and the other mass, in a circular orbit of radius \(\dfrac{3 R}{2}\). The difference bewteen the final and initial total energies is:

1 \(+\dfrac{G m}{6 R}\)
2 \(-\dfrac{G M m}{2 R}\)
3 \(-\dfrac{G M m}{6 R}\)
4 \(\dfrac{G M m}{2 R}\)
PHXI08:GRAVITATION

359728 A satellite of \({10^3}\;kg\) mass is revolving in circular orbit of radius \(2\,R\). If \(\dfrac{10^{4} R}{6} J\) energy is supplied to the satellite, it would revolve in a new circular orbit of radius(use \(g = 10\;m/{s^2},\) \(R = \) radius of earth)

1 \(6\,R\)
2 \(2.5\,R\)
3 \(3\,R\)
4 \(4\,R\)
PHXI08:GRAVITATION

359729 A satellite is orbiting with areal velocity \(v_{a}\) in circular orbit. At what height from the surface of the earth, it is rotating, if the radius of earth is \(R\) ?

1 \(\dfrac{4 v_{a}^{2}}{g R^{2}}-R\)
2 \(\dfrac{2 v_{a}^{2}}{g R^{2}}-R\)
3 \(\dfrac{v_{a}^{2}}{g R^{2}}-R\)
4 \(\dfrac{v_{a}^{2}}{2 g R^{2}}-R\)
PHXI08:GRAVITATION

359730 The figure shows the variation of energy with the orbit radius of a body in circular planetary motion. Find the correct statement about the curves \(A,B\) and \(C\)
supporting img

1 \(A\) shows the kinetic energy, \(B\) the potential energy and \(C\) the total energy of the system
2 \(C\) shows the total energy, \(B\) the kinetic energy and \(A\) the potential energy system
3 \(C\) and \(A\) are kinetic and potential energies respectively and \(B\) is the total energy of the system
4 \(A\) and \(B\) are the kinetic and potential energies respectively and \(C\) is the total energy of the system
PHXI08:GRAVITATION

359731 Two satellites \(P\) and \(Q\) of same mass are revolving near the earth surface in the equitorial plane. The satellite \(P\) moves in the direction of rotation of earth whereas \(Q\) moves in the opposite direction. The ratio of their kinetic energies with respect to a frame attached to earth will be -

1 \(\left(\dfrac{7437}{8363}\right)^{2}\)
2 \(\left(\dfrac{8363}{7437}\right)^{2}\)
3 \(\left(\dfrac{7437}{8363}\right)\)
4 \(\left(\dfrac{8363}{7437}\right)\)