KEPLER'S LAWS
Gravitation

270534 If a and \(b\) are the nearest and farthest distances of a planet from the sun and the planet is revolving in elliptical orbit, then square of the time period of revolution of that planet is proportional to

1 \(a^{3}\)
2 \(b^{3}\)
3 \((a+b)^{3}\)
4 \((a-b)^{3}\)
Gravitation

270535 Let ' \(A\) ' be the area swept by the line joining the earth and the sun during Feb 2007. The area swept by the same line during the first week of that month is

1 \(A / 4\)
2 \(7 \mathrm{~A} / 29\)
3 \(A\)
4 \(7 \mathrm{~A} / 30\)
Gravitation

270536 The period of a satellite in an orbit of radius \(R\) is T. Its period of revolution in an orbit of radius \(4 R\) will be

1 \(2 \mathrm{~T}\)
2 \(2 \sqrt{2} T\)
3 \(4 \mathrm{~T}\)
4 \(8 \mathrm{~T}\)
Gravitation

270537 The period of revolution of an earth's satellite close to the surface of earth is 60 minutes. The period of another earth's satellite in an orbit at a distance of three times earth's radius from its surface will be (in minutes)

1 90
2 \(90 \times \sqrt{8}\)
3 270
4 480
Gravitation

270538 If a planet of mass \(m\) is revolving around the sun in a circular orbit of radius \(r\) with time period \(T\), then mass of the sun is

1 \(4 \pi^{2} r^{3} / G T\)
2 \(4 \pi^{2} r^{3} / G T^{2}\)
3 \(4 \pi^{2} r / G T\)
4 \(4 \pi^{2} r^{3} / G^{2} T^{2}\)
Gravitation

270534 If a and \(b\) are the nearest and farthest distances of a planet from the sun and the planet is revolving in elliptical orbit, then square of the time period of revolution of that planet is proportional to

1 \(a^{3}\)
2 \(b^{3}\)
3 \((a+b)^{3}\)
4 \((a-b)^{3}\)
Gravitation

270535 Let ' \(A\) ' be the area swept by the line joining the earth and the sun during Feb 2007. The area swept by the same line during the first week of that month is

1 \(A / 4\)
2 \(7 \mathrm{~A} / 29\)
3 \(A\)
4 \(7 \mathrm{~A} / 30\)
Gravitation

270536 The period of a satellite in an orbit of radius \(R\) is T. Its period of revolution in an orbit of radius \(4 R\) will be

1 \(2 \mathrm{~T}\)
2 \(2 \sqrt{2} T\)
3 \(4 \mathrm{~T}\)
4 \(8 \mathrm{~T}\)
Gravitation

270537 The period of revolution of an earth's satellite close to the surface of earth is 60 minutes. The period of another earth's satellite in an orbit at a distance of three times earth's radius from its surface will be (in minutes)

1 90
2 \(90 \times \sqrt{8}\)
3 270
4 480
Gravitation

270538 If a planet of mass \(m\) is revolving around the sun in a circular orbit of radius \(r\) with time period \(T\), then mass of the sun is

1 \(4 \pi^{2} r^{3} / G T\)
2 \(4 \pi^{2} r^{3} / G T^{2}\)
3 \(4 \pi^{2} r / G T\)
4 \(4 \pi^{2} r^{3} / G^{2} T^{2}\)
Gravitation

270534 If a and \(b\) are the nearest and farthest distances of a planet from the sun and the planet is revolving in elliptical orbit, then square of the time period of revolution of that planet is proportional to

1 \(a^{3}\)
2 \(b^{3}\)
3 \((a+b)^{3}\)
4 \((a-b)^{3}\)
Gravitation

270535 Let ' \(A\) ' be the area swept by the line joining the earth and the sun during Feb 2007. The area swept by the same line during the first week of that month is

1 \(A / 4\)
2 \(7 \mathrm{~A} / 29\)
3 \(A\)
4 \(7 \mathrm{~A} / 30\)
Gravitation

270536 The period of a satellite in an orbit of radius \(R\) is T. Its period of revolution in an orbit of radius \(4 R\) will be

1 \(2 \mathrm{~T}\)
2 \(2 \sqrt{2} T\)
3 \(4 \mathrm{~T}\)
4 \(8 \mathrm{~T}\)
Gravitation

270537 The period of revolution of an earth's satellite close to the surface of earth is 60 minutes. The period of another earth's satellite in an orbit at a distance of three times earth's radius from its surface will be (in minutes)

1 90
2 \(90 \times \sqrt{8}\)
3 270
4 480
Gravitation

270538 If a planet of mass \(m\) is revolving around the sun in a circular orbit of radius \(r\) with time period \(T\), then mass of the sun is

1 \(4 \pi^{2} r^{3} / G T\)
2 \(4 \pi^{2} r^{3} / G T^{2}\)
3 \(4 \pi^{2} r / G T\)
4 \(4 \pi^{2} r^{3} / G^{2} T^{2}\)
Gravitation

270534 If a and \(b\) are the nearest and farthest distances of a planet from the sun and the planet is revolving in elliptical orbit, then square of the time period of revolution of that planet is proportional to

1 \(a^{3}\)
2 \(b^{3}\)
3 \((a+b)^{3}\)
4 \((a-b)^{3}\)
Gravitation

270535 Let ' \(A\) ' be the area swept by the line joining the earth and the sun during Feb 2007. The area swept by the same line during the first week of that month is

1 \(A / 4\)
2 \(7 \mathrm{~A} / 29\)
3 \(A\)
4 \(7 \mathrm{~A} / 30\)
Gravitation

270536 The period of a satellite in an orbit of radius \(R\) is T. Its period of revolution in an orbit of radius \(4 R\) will be

1 \(2 \mathrm{~T}\)
2 \(2 \sqrt{2} T\)
3 \(4 \mathrm{~T}\)
4 \(8 \mathrm{~T}\)
Gravitation

270537 The period of revolution of an earth's satellite close to the surface of earth is 60 minutes. The period of another earth's satellite in an orbit at a distance of three times earth's radius from its surface will be (in minutes)

1 90
2 \(90 \times \sqrt{8}\)
3 270
4 480
Gravitation

270538 If a planet of mass \(m\) is revolving around the sun in a circular orbit of radius \(r\) with time period \(T\), then mass of the sun is

1 \(4 \pi^{2} r^{3} / G T\)
2 \(4 \pi^{2} r^{3} / G T^{2}\)
3 \(4 \pi^{2} r / G T\)
4 \(4 \pi^{2} r^{3} / G^{2} T^{2}\)
Gravitation

270534 If a and \(b\) are the nearest and farthest distances of a planet from the sun and the planet is revolving in elliptical orbit, then square of the time period of revolution of that planet is proportional to

1 \(a^{3}\)
2 \(b^{3}\)
3 \((a+b)^{3}\)
4 \((a-b)^{3}\)
Gravitation

270535 Let ' \(A\) ' be the area swept by the line joining the earth and the sun during Feb 2007. The area swept by the same line during the first week of that month is

1 \(A / 4\)
2 \(7 \mathrm{~A} / 29\)
3 \(A\)
4 \(7 \mathrm{~A} / 30\)
Gravitation

270536 The period of a satellite in an orbit of radius \(R\) is T. Its period of revolution in an orbit of radius \(4 R\) will be

1 \(2 \mathrm{~T}\)
2 \(2 \sqrt{2} T\)
3 \(4 \mathrm{~T}\)
4 \(8 \mathrm{~T}\)
Gravitation

270537 The period of revolution of an earth's satellite close to the surface of earth is 60 minutes. The period of another earth's satellite in an orbit at a distance of three times earth's radius from its surface will be (in minutes)

1 90
2 \(90 \times \sqrt{8}\)
3 270
4 480
Gravitation

270538 If a planet of mass \(m\) is revolving around the sun in a circular orbit of radius \(r\) with time period \(T\), then mass of the sun is

1 \(4 \pi^{2} r^{3} / G T\)
2 \(4 \pi^{2} r^{3} / G T^{2}\)
3 \(4 \pi^{2} r / G T\)
4 \(4 \pi^{2} r^{3} / G^{2} T^{2}\)