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In side a hollow spherical shell
- a)Everywhere gravitational potential is zero
- b)Everywhere gravitational field is zero
- c)Everywhere gravitational potential is same
- d)Everywhere gravitational field is same
Correct answer is option 'B,C,D'. Can you explain this answer?
Verified Answer
In side a hollow spherical shella)Everywhere gravitational potential i...
The gravitational field inside a uniform spherical shell is 0 from gauss law for gravitation since no mass is enclosed in any Gaussian surface.
Since gravitational potential is given by φ=−∫ gdr, hence, φ=constant since g=0.
Since the gravitational field is 0 everywhere, it is apparently the same everywhere.
Answer is B,C,D.
Since gravitational potential is given by φ=−∫ gdr, hence, φ=constant since g=0.
Since the gravitational field is 0 everywhere, it is apparently the same everywhere.
Answer is B,C,D.
Most Upvoted Answer
In side a hollow spherical shella)Everywhere gravitational potential i...
Understanding Gravitational Potential and Field Inside a Hollow Spherical Shell
When analyzing the gravitational properties inside a hollow spherical shell, the following points are crucial:
1. Gravitational Potential Inside the Shell
- The gravitational potential at any point inside the hollow shell is constant.
- This is because the contributions from all parts of the shell cancel out due to symmetry.
2. Gravitational Field Inside the Shell
- The gravitational field inside the hollow spherical shell is zero everywhere.
- This is derived from the shell theorem, which states that a uniform spherical shell of mass exerts no net gravitational force on an object located inside it.
3. Uniform Gravitational Potential
- Since the gravitational potential is constant throughout the interior of the shell, it remains the same at every point within.
4. Implications of the Findings
- As a result, while the gravitational potential is constant (same) inside the shell, the gravitational field is zero.
- It is essential to note that the gravitational potential does not equal zero; it is simply uniform.
Conclusion
- Therefore, the correct statements regarding the gravitational conditions inside a hollow spherical shell are that the gravitational field is zero (option B), the potential is the same everywhere (option C), and the gravitational field remains uniform (option D). The only incorrect statement is that the gravitational potential is zero everywhere (option A).
When analyzing the gravitational properties inside a hollow spherical shell, the following points are crucial:
1. Gravitational Potential Inside the Shell
- The gravitational potential at any point inside the hollow shell is constant.
- This is because the contributions from all parts of the shell cancel out due to symmetry.
2. Gravitational Field Inside the Shell
- The gravitational field inside the hollow spherical shell is zero everywhere.
- This is derived from the shell theorem, which states that a uniform spherical shell of mass exerts no net gravitational force on an object located inside it.
3. Uniform Gravitational Potential
- Since the gravitational potential is constant throughout the interior of the shell, it remains the same at every point within.
4. Implications of the Findings
- As a result, while the gravitational potential is constant (same) inside the shell, the gravitational field is zero.
- It is essential to note that the gravitational potential does not equal zero; it is simply uniform.
Conclusion
- Therefore, the correct statements regarding the gravitational conditions inside a hollow spherical shell are that the gravitational field is zero (option B), the potential is the same everywhere (option C), and the gravitational field remains uniform (option D). The only incorrect statement is that the gravitational potential is zero everywhere (option A).
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In side a hollow spherical shella)Everywhere gravitational potential i...
B and c are correct options
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In side a hollow spherical shella)Everywhere gravitational potential is zerob)Everywhere gravitational field is zeroc)Everywhere gravitational potential is samed)Everywhere gravitational field is sameCorrect answer is option 'B,C,D'. Can you explain this answer? for Class 11 2025 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about In side a hollow spherical shella)Everywhere gravitational potential is zerob)Everywhere gravitational field is zeroc)Everywhere gravitational potential is samed)Everywhere gravitational field is sameCorrect answer is option 'B,C,D'. Can you explain this answer? covers all topics & solutions for Class 11 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In side a hollow spherical shella)Everywhere gravitational potential is zerob)Everywhere gravitational field is zeroc)Everywhere gravitational potential is samed)Everywhere gravitational field is sameCorrect answer is option 'B,C,D'. Can you explain this answer?.
In side a hollow spherical shella)Everywhere gravitational potential is zerob)Everywhere gravitational field is zeroc)Everywhere gravitational potential is samed)Everywhere gravitational field is sameCorrect answer is option 'B,C,D'. Can you explain this answer? for Class 11 2025 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about In side a hollow spherical shella)Everywhere gravitational potential is zerob)Everywhere gravitational field is zeroc)Everywhere gravitational potential is samed)Everywhere gravitational field is sameCorrect answer is option 'B,C,D'. Can you explain this answer? covers all topics & solutions for Class 11 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In side a hollow spherical shella)Everywhere gravitational potential is zerob)Everywhere gravitational field is zeroc)Everywhere gravitational potential is samed)Everywhere gravitational field is sameCorrect answer is option 'B,C,D'. Can you explain this answer?.
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