Escape Speed
PHXI08:GRAVITATION

359800 To project a body of mass \(m\) from earth's surface to infinity, the required kinetic energy is (assume, the radius of earth is \(R_{E}, g=\) acceleration due to gravity on the surface of earth)

1 \(m g R_{E}\)
2 \(4 m g R_{E}\)
3 \(1 / 2 m g R_{E}\)
4 \(2 m g R_{E}\)
PHXI08:GRAVITATION

359801 The escape velocity of a body from any planet, whose mass is six times the mass of earth and radius is twice the radius of earth will be \(\left(v_{e}=\right.\) escape velocity of a body from the earth's surface)

1 \(2 \sqrt{2} v_{e}\)
2 \(\dfrac{3}{2} v_{e}\)
3 \(2{v_e}\)
4 \(\sqrt{3} v_{e}\)
PHXI08:GRAVITATION

359802 Four equal masses (each of mass \(m\) ) are placed at the corners of a squal of side \(a\). The escape velocity of a body from the centre \(O\) of the square is

1 \(\sqrt{\dfrac{8 \sqrt{2} G M}{a}}\)
2 \(4 \sqrt{\dfrac{2 G M}{a}}\)
3 \(\sqrt{\dfrac{4 \sqrt{2} G M}{a}}\)
4 \(\dfrac{4 G M}{a}\)
PHXI08:GRAVITATION

359803 The ratio of escape velocity of a planet to the escape velocity of earth will be (Given: Mass of the planet is 16 times mass of earth and radius of the planet is 4 times the radius of earth)

1 \(4: 1\)
2 \(1: 4\)
3 \(1: \sqrt{2}\)
4 \(2: 1\)
PHXI08:GRAVITATION

359804 If earth has a mass nine times and radius twice to that of a planet \(P\). Then \(\frac{{{v_e}}}{3}\sqrt x \,m{s^{ - 1}}\) will be the minimum velocity required by a rocket to pull out of gravitational force of \(P\), where \(v_{e}\) is escape velocity on earth. The value of \(x\) is

1 1
2 18
3 3
4 2
PHXI08:GRAVITATION

359800 To project a body of mass \(m\) from earth's surface to infinity, the required kinetic energy is (assume, the radius of earth is \(R_{E}, g=\) acceleration due to gravity on the surface of earth)

1 \(m g R_{E}\)
2 \(4 m g R_{E}\)
3 \(1 / 2 m g R_{E}\)
4 \(2 m g R_{E}\)
PHXI08:GRAVITATION

359801 The escape velocity of a body from any planet, whose mass is six times the mass of earth and radius is twice the radius of earth will be \(\left(v_{e}=\right.\) escape velocity of a body from the earth's surface)

1 \(2 \sqrt{2} v_{e}\)
2 \(\dfrac{3}{2} v_{e}\)
3 \(2{v_e}\)
4 \(\sqrt{3} v_{e}\)
PHXI08:GRAVITATION

359802 Four equal masses (each of mass \(m\) ) are placed at the corners of a squal of side \(a\). The escape velocity of a body from the centre \(O\) of the square is

1 \(\sqrt{\dfrac{8 \sqrt{2} G M}{a}}\)
2 \(4 \sqrt{\dfrac{2 G M}{a}}\)
3 \(\sqrt{\dfrac{4 \sqrt{2} G M}{a}}\)
4 \(\dfrac{4 G M}{a}\)
PHXI08:GRAVITATION

359803 The ratio of escape velocity of a planet to the escape velocity of earth will be (Given: Mass of the planet is 16 times mass of earth and radius of the planet is 4 times the radius of earth)

1 \(4: 1\)
2 \(1: 4\)
3 \(1: \sqrt{2}\)
4 \(2: 1\)
PHXI08:GRAVITATION

359804 If earth has a mass nine times and radius twice to that of a planet \(P\). Then \(\frac{{{v_e}}}{3}\sqrt x \,m{s^{ - 1}}\) will be the minimum velocity required by a rocket to pull out of gravitational force of \(P\), where \(v_{e}\) is escape velocity on earth. The value of \(x\) is

1 1
2 18
3 3
4 2
PHXI08:GRAVITATION

359800 To project a body of mass \(m\) from earth's surface to infinity, the required kinetic energy is (assume, the radius of earth is \(R_{E}, g=\) acceleration due to gravity on the surface of earth)

1 \(m g R_{E}\)
2 \(4 m g R_{E}\)
3 \(1 / 2 m g R_{E}\)
4 \(2 m g R_{E}\)
PHXI08:GRAVITATION

359801 The escape velocity of a body from any planet, whose mass is six times the mass of earth and radius is twice the radius of earth will be \(\left(v_{e}=\right.\) escape velocity of a body from the earth's surface)

1 \(2 \sqrt{2} v_{e}\)
2 \(\dfrac{3}{2} v_{e}\)
3 \(2{v_e}\)
4 \(\sqrt{3} v_{e}\)
PHXI08:GRAVITATION

359802 Four equal masses (each of mass \(m\) ) are placed at the corners of a squal of side \(a\). The escape velocity of a body from the centre \(O\) of the square is

1 \(\sqrt{\dfrac{8 \sqrt{2} G M}{a}}\)
2 \(4 \sqrt{\dfrac{2 G M}{a}}\)
3 \(\sqrt{\dfrac{4 \sqrt{2} G M}{a}}\)
4 \(\dfrac{4 G M}{a}\)
PHXI08:GRAVITATION

359803 The ratio of escape velocity of a planet to the escape velocity of earth will be (Given: Mass of the planet is 16 times mass of earth and radius of the planet is 4 times the radius of earth)

1 \(4: 1\)
2 \(1: 4\)
3 \(1: \sqrt{2}\)
4 \(2: 1\)
PHXI08:GRAVITATION

359804 If earth has a mass nine times and radius twice to that of a planet \(P\). Then \(\frac{{{v_e}}}{3}\sqrt x \,m{s^{ - 1}}\) will be the minimum velocity required by a rocket to pull out of gravitational force of \(P\), where \(v_{e}\) is escape velocity on earth. The value of \(x\) is

1 1
2 18
3 3
4 2
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PHXI08:GRAVITATION

359800 To project a body of mass \(m\) from earth's surface to infinity, the required kinetic energy is (assume, the radius of earth is \(R_{E}, g=\) acceleration due to gravity on the surface of earth)

1 \(m g R_{E}\)
2 \(4 m g R_{E}\)
3 \(1 / 2 m g R_{E}\)
4 \(2 m g R_{E}\)
PHXI08:GRAVITATION

359801 The escape velocity of a body from any planet, whose mass is six times the mass of earth and radius is twice the radius of earth will be \(\left(v_{e}=\right.\) escape velocity of a body from the earth's surface)

1 \(2 \sqrt{2} v_{e}\)
2 \(\dfrac{3}{2} v_{e}\)
3 \(2{v_e}\)
4 \(\sqrt{3} v_{e}\)
PHXI08:GRAVITATION

359802 Four equal masses (each of mass \(m\) ) are placed at the corners of a squal of side \(a\). The escape velocity of a body from the centre \(O\) of the square is

1 \(\sqrt{\dfrac{8 \sqrt{2} G M}{a}}\)
2 \(4 \sqrt{\dfrac{2 G M}{a}}\)
3 \(\sqrt{\dfrac{4 \sqrt{2} G M}{a}}\)
4 \(\dfrac{4 G M}{a}\)
PHXI08:GRAVITATION

359803 The ratio of escape velocity of a planet to the escape velocity of earth will be (Given: Mass of the planet is 16 times mass of earth and radius of the planet is 4 times the radius of earth)

1 \(4: 1\)
2 \(1: 4\)
3 \(1: \sqrt{2}\)
4 \(2: 1\)
PHXI08:GRAVITATION

359804 If earth has a mass nine times and radius twice to that of a planet \(P\). Then \(\frac{{{v_e}}}{3}\sqrt x \,m{s^{ - 1}}\) will be the minimum velocity required by a rocket to pull out of gravitational force of \(P\), where \(v_{e}\) is escape velocity on earth. The value of \(x\) is

1 1
2 18
3 3
4 2
PHXI08:GRAVITATION

359800 To project a body of mass \(m\) from earth's surface to infinity, the required kinetic energy is (assume, the radius of earth is \(R_{E}, g=\) acceleration due to gravity on the surface of earth)

1 \(m g R_{E}\)
2 \(4 m g R_{E}\)
3 \(1 / 2 m g R_{E}\)
4 \(2 m g R_{E}\)
PHXI08:GRAVITATION

359801 The escape velocity of a body from any planet, whose mass is six times the mass of earth and radius is twice the radius of earth will be \(\left(v_{e}=\right.\) escape velocity of a body from the earth's surface)

1 \(2 \sqrt{2} v_{e}\)
2 \(\dfrac{3}{2} v_{e}\)
3 \(2{v_e}\)
4 \(\sqrt{3} v_{e}\)
PHXI08:GRAVITATION

359802 Four equal masses (each of mass \(m\) ) are placed at the corners of a squal of side \(a\). The escape velocity of a body from the centre \(O\) of the square is

1 \(\sqrt{\dfrac{8 \sqrt{2} G M}{a}}\)
2 \(4 \sqrt{\dfrac{2 G M}{a}}\)
3 \(\sqrt{\dfrac{4 \sqrt{2} G M}{a}}\)
4 \(\dfrac{4 G M}{a}\)
PHXI08:GRAVITATION

359803 The ratio of escape velocity of a planet to the escape velocity of earth will be (Given: Mass of the planet is 16 times mass of earth and radius of the planet is 4 times the radius of earth)

1 \(4: 1\)
2 \(1: 4\)
3 \(1: \sqrt{2}\)
4 \(2: 1\)
PHXI08:GRAVITATION

359804 If earth has a mass nine times and radius twice to that of a planet \(P\). Then \(\frac{{{v_e}}}{3}\sqrt x \,m{s^{ - 1}}\) will be the minimum velocity required by a rocket to pull out of gravitational force of \(P\), where \(v_{e}\) is escape velocity on earth. The value of \(x\) is

1 1
2 18
3 3
4 2