Class 11 Exam > Class 11 Questions > Select the correct choice(s) :a)The gravitati...
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Select the correct choice(s) :
- a)The gravitational field inside a spherical cavity, within a spherical planet must be non zero and uniform.
- b)When a body is projected horizontally at an appreciable large height above the earth, with a velocity less than for a circular orbit, it will fall to the earth along a parabolic path
- c)A body of zero total mechanical energy placed in a gravitational field will escape the field
- d)Earth's satellite must be in equatorial plane.
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
Select the correct choice(s) :a)The gravitational field inside a spher...
If the TE = 0 that means KE + PE = 0
KE = - PE which is enough for the body to leave the system (here, Earth)
KE = - PE which is enough for the body to leave the system (here, Earth)
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Select the correct choice(s) :a)The gravitational field inside a spher...
Explanation:
Gravitational Field and Spherical Cavity:
- According to Gauss's law, the gravitational field inside a spherical cavity within a spherical planet is zero.
- This is because the mass of the planet outside the cavity creates a net gravitational force towards the center of the planet, which is balanced by the gravitational force of the mass inside the cavity.
- Therefore, the gravitational field inside the cavity is zero.
Projectile Motion:
- When a body is projected horizontally at an appreciable large height above the earth, with a velocity less than for a circular orbit, it will not fall to the earth along a parabolic path but will follow a curved path called a trajectory.
- The trajectory of the body is affected by both the horizontal velocity and the vertical acceleration due to gravity.
- The trajectory is a combination of a parabolic path and a straight line.
Zero Total Mechanical Energy:
- A body of zero total mechanical energy placed in a gravitational field will not escape the field but will continue to move in an elliptical orbit.
- Total mechanical energy is the sum of kinetic and potential energy.
- The kinetic energy of the body is not sufficient to overcome the gravitational force of the field, and hence the body remains in an elliptical orbit.
Equatorial Plane:
- Earth's satellite does not have to be in the equatorial plane.
- Satellites can be placed in any orbit around the earth, depending on the purpose of the satellite.
- However, satellites in the equatorial plane have certain advantages, such as having a fixed position relative to the earth's rotation and being able to cover a larger area of the earth's surface.
Conclusion:
Option 'C' is the correct choice as a body of zero total mechanical energy placed in a gravitational field will not escape the field but will continue to move in an elliptical orbit.
Gravitational Field and Spherical Cavity:
- According to Gauss's law, the gravitational field inside a spherical cavity within a spherical planet is zero.
- This is because the mass of the planet outside the cavity creates a net gravitational force towards the center of the planet, which is balanced by the gravitational force of the mass inside the cavity.
- Therefore, the gravitational field inside the cavity is zero.
Projectile Motion:
- When a body is projected horizontally at an appreciable large height above the earth, with a velocity less than for a circular orbit, it will not fall to the earth along a parabolic path but will follow a curved path called a trajectory.
- The trajectory of the body is affected by both the horizontal velocity and the vertical acceleration due to gravity.
- The trajectory is a combination of a parabolic path and a straight line.
Zero Total Mechanical Energy:
- A body of zero total mechanical energy placed in a gravitational field will not escape the field but will continue to move in an elliptical orbit.
- Total mechanical energy is the sum of kinetic and potential energy.
- The kinetic energy of the body is not sufficient to overcome the gravitational force of the field, and hence the body remains in an elliptical orbit.
Equatorial Plane:
- Earth's satellite does not have to be in the equatorial plane.
- Satellites can be placed in any orbit around the earth, depending on the purpose of the satellite.
- However, satellites in the equatorial plane have certain advantages, such as having a fixed position relative to the earth's rotation and being able to cover a larger area of the earth's surface.
Conclusion:
Option 'C' is the correct choice as a body of zero total mechanical energy placed in a gravitational field will not escape the field but will continue to move in an elliptical orbit.
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Community Answer
Select the correct choice(s) :a)The gravitational field inside a spher...
It needs binding energy to keep it binded with earth if binding energy is not there it will escape
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Select the correct choice(s) :a)The gravitational field inside a spherical cavity, within a spherical planet must be non zero and uniform.b)When a body is projected horizontally at an appreciable large height above the earth, with a velocity less than for a circular orbit, it will fall to the earth along a parabolic pathc)A body of zero total mechanical energy placed in a gravitational field will escape the fieldd)Earth's satellite must be in equatorial plane.Correct answer is option 'C'. Can you explain this answer?
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Select the correct choice(s) :a)The gravitational field inside a spherical cavity, within a spherical planet must be non zero and uniform.b)When a body is projected horizontally at an appreciable large height above the earth, with a velocity less than for a circular orbit, it will fall to the earth along a parabolic pathc)A body of zero total mechanical energy placed in a gravitational field will escape the fieldd)Earth's satellite must be in equatorial plane.Correct answer is option 'C'. Can you explain this answer? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about Select the correct choice(s) :a)The gravitational field inside a spherical cavity, within a spherical planet must be non zero and uniform.b)When a body is projected horizontally at an appreciable large height above the earth, with a velocity less than for a circular orbit, it will fall to the earth along a parabolic pathc)A body of zero total mechanical energy placed in a gravitational field will escape the fieldd)Earth's satellite must be in equatorial plane.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Select the correct choice(s) :a)The gravitational field inside a spherical cavity, within a spherical planet must be non zero and uniform.b)When a body is projected horizontally at an appreciable large height above the earth, with a velocity less than for a circular orbit, it will fall to the earth along a parabolic pathc)A body of zero total mechanical energy placed in a gravitational field will escape the fieldd)Earth's satellite must be in equatorial plane.Correct answer is option 'C'. Can you explain this answer?.
Select the correct choice(s) :a)The gravitational field inside a spherical cavity, within a spherical planet must be non zero and uniform.b)When a body is projected horizontally at an appreciable large height above the earth, with a velocity less than for a circular orbit, it will fall to the earth along a parabolic pathc)A body of zero total mechanical energy placed in a gravitational field will escape the fieldd)Earth's satellite must be in equatorial plane.Correct answer is option 'C'. Can you explain this answer? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about Select the correct choice(s) :a)The gravitational field inside a spherical cavity, within a spherical planet must be non zero and uniform.b)When a body is projected horizontally at an appreciable large height above the earth, with a velocity less than for a circular orbit, it will fall to the earth along a parabolic pathc)A body of zero total mechanical energy placed in a gravitational field will escape the fieldd)Earth's satellite must be in equatorial plane.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Select the correct choice(s) :a)The gravitational field inside a spherical cavity, within a spherical planet must be non zero and uniform.b)When a body is projected horizontally at an appreciable large height above the earth, with a velocity less than for a circular orbit, it will fall to the earth along a parabolic pathc)A body of zero total mechanical energy placed in a gravitational field will escape the fieldd)Earth's satellite must be in equatorial plane.Correct answer is option 'C'. Can you explain this answer?.
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ample number of questions to practice Select the correct choice(s) :a)The gravitational field inside a spherical cavity, within a spherical planet must be non zero and uniform.b)When a body is projected horizontally at an appreciable large height above the earth, with a velocity less than for a circular orbit, it will fall to the earth along a parabolic pathc)A body of zero total mechanical energy placed in a gravitational field will escape the fieldd)Earth's satellite must be in equatorial plane.Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice Class 11 tests.
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