Assertion (A): | From a satellite orbiting around earth in a circular orbit, an object is fired in the forward direction. The orbit of the satellite becomes elliptical. |
Reason (R): | When the speed of a satellite is slightly less or more than orbital speed, its orbit is elliptical. |
1. | Both (A) and (R) are true and (R) is the correct explanation of (A). |
2. | Both (A) and (R) are true but (R) is not the correct explanation of (A). |
3. | (A) is true but (R) is false. |
4. | Both (A) and (R) are false. |
Assertion (A): | The gravitational potential energy associated with a particle-earth system depends on the vertical position (or height) of the particle relative to the reference position, not on the horizontal position. |
Reason (R): | For any height h above earth's surface, the potential energy of the particle is mgh |
1. | Both (A) and (R) are true and (R) is the correct explanation of (A). |
2. | Both (A) and (R) are true but (R) is not the correct explanation of (A). |
3. | (A) is true but (R) is false. |
4. | Both (A) and (R) are false. |
Assertion (A): | Light from a distant quasar follows a curved path around a black hole. |
Reason (R): | An object curves the space around it due to its mass. |
1. | Both (A) and (R) are true and (R) is the correct explanation of (A). |
2. | Both (A) and (R) are true but (R) is not the correct explanation of (A). |
3. | (A) is true but (R) is false. |
4. | Both (A) and (R) are false. |
Assertion (A): | Work done by the gravitational force is positive when two point masses are brought from infinity to any two points in space. |
Reason (R): | Gravitational potential energy increases during the above process. |
1. | Both (A) and (R) are true and (R) is the correct explanation of (A). |
2. | Both (A) and (R) are true but (R) is not the correct explanation of (A). |
3. | (A) is true but (R) is false. |
4. | Both (A) and (R) are false. |
Assertion (A): | Gravitational potential is constant everywhere inside a spherical shell. |
Reason (R): | Gravitational field inside a spherical shell is zero everywhere. |
1. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
2. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |
3. | (A) is True but (R) is False. |
4. | Both (A) and (R) are False. |
Assertion (A): | Though the gravitational force between two particles is central, the force between two finite rigid bodies is not necessarily along the line joining their centre of mass. |
Reason (R): | A spherical shell doesn't shield other bodies outside it from exerting gravitational forces on a particle inside. |
1. | Both (A) and (R) are true and (R) is the correct explanation of (A). |
2. | Both (A) and (R) are true but (R) is not the correct explanation of (A). |
3. | (A) is true but (R) is false. |
4. | Both (A) and (R) are false. |
Assertion (A): | The earth is slowing down and as a result, the moon is coming nearer to it. |
Reason (R): | The angular momentum of the earth-moon system is not conserved. |
1. | Both (A) and (R) are true and (R) is the correct explanation of (A). |
2. | Both (A) and (R) are true but (R) is not the correct explanation of (A). |
3. | (A) is true but (R) is false. |
4. | Both (A) and (R) are false. |
Assertion (A): | The time period of the revolution of a satellite around a planet is directly proportional to the radius of the orbit of the satellite. |
Reason (R): | Artificial satellites do not follow Kepler's law of planetary motion. |
1. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
2. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |
3. | (A) is True but (R) is False. |
4. | Both (A) and (R) are False. |
Assertion (A): | At the pole, the value of acceleration due to gravity (g) is greater than that at the equator. |
Reason (R): | Earth rotates on its axis in addition to revolving around the sun.- |
1. | Both (A) and (R) are true and (R) is the correct explanation of (A). |
2. | Both (A) and (R) are true but (R) is not the correct explanation of (A). |
3. | (A) is true but (R) is false. |
4. | Both (A) and (R) are false. |
Assertion (A): | The square of the period of revolution of a planet is proportional to the cube of the semi-major axis of its elliptical orbit. |
Reason (R): | Sun's gravitational field is inversely proportional to the square of its distance from the planet. |
1. | Both (A) and (R) are true and (R) is the correct explanation of (A). |
2. | Both (A) and (R) are true but (R) is not the correct explanation of (A). |
3. | (A) is true but (R) is false. |
4. | Both (A) and (R) are false. |