Class 12 Exam > Class 12 Questions > Statement - 1 : For a non-uniformly charged t...
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Statement - 1 : For a non-uniformly charged thin circular ring with net charge zero, the electric potential at each point on axis of the ring is zero.
Statement - 2 : For a non-uniformly charged thin circular ring with net charge zero, the electric field at any point on axis of the ring is zero.
- a)Statement - 1 is true, Statement - 2 is true and statement - 2 is correct explanation for statement - 1.
- b)Statement - 1 is true, Statement - 2 is true and statement - 2 is NOT correct explanation for statement - 1.
- c)Statement - 1 is true, statement - 2 is false.
- d)Statement - 1 is false, statement - 2 is true.
Correct answer is option 'C'. Can you explain this answer?
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Statement - 1 : For a non-uniformly charged thin circular ring with ne...
Note that electric potential is a scalar quantity whereas electric field is a vector quantity. If it is aid that the net charge on the ring is zero it means that the total positive charge is equal to the total negative charge. So, the potential due to positive charges and the potential due to negative charges gets cancelled each other, thus the net electric potential is zero. But in case of electric field it may not be zero because the electric field due to each charge is in a different direction from the rest due to which they will not cancel out.
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Statement - 1 : For a non-uniformly charged thin circular ring with ne...
**Explanation:**
**Statement 1: For a non-uniformly charged thin circular ring with net charge zero, the electric potential at each point on the axis of the ring is zero.**
The electric potential at a point due to a ring of charge can be calculated using the formula:
V = k * Q / r
Where V is the electric potential, k is the electrostatic constant, Q is the charge on the ring, and r is the distance from the ring to the point.
In this case, the ring has a net charge of zero, which means Q = 0. Therefore, the formula becomes:
V = k * 0 / r = 0
Since the charge on the ring is zero, the electric potential at each point on the axis of the ring is indeed zero.
**Statement 2: For a non-uniformly charged thin circular ring with net charge zero, the electric field at any point on the axis of the ring is zero.**
The electric field at a point due to a ring of charge can be calculated using the formula:
E = k * Q * z / (2 * pi * r^3)
Where E is the electric field, k is the electrostatic constant, Q is the charge on the ring, z is the distance from the ring to the point along the axis, and r is the radius of the ring.
In this case, the ring has a net charge of zero, which means Q = 0. Therefore, the formula becomes:
E = k * 0 * z / (2 * pi * r^3) = 0
Since the charge on the ring is zero, the electric field at any point on the axis of the ring is indeed zero.
**Explanation of the Correct Answer:**
The correct answer is option C: Statement 1 is true, and statement 2 is false.
While statement 1 is true, as explained above, statement 2 is false. The electric field at any point on the axis of the ring is not zero, even if the net charge on the ring is zero. The electric field depends on the distribution of charge along the ring, and even a non-uniform distribution can result in a non-zero electric field at points on the axis of the ring.
Therefore, statement 2 is not a correct explanation for statement 1.
**Statement 1: For a non-uniformly charged thin circular ring with net charge zero, the electric potential at each point on the axis of the ring is zero.**
The electric potential at a point due to a ring of charge can be calculated using the formula:
V = k * Q / r
Where V is the electric potential, k is the electrostatic constant, Q is the charge on the ring, and r is the distance from the ring to the point.
In this case, the ring has a net charge of zero, which means Q = 0. Therefore, the formula becomes:
V = k * 0 / r = 0
Since the charge on the ring is zero, the electric potential at each point on the axis of the ring is indeed zero.
**Statement 2: For a non-uniformly charged thin circular ring with net charge zero, the electric field at any point on the axis of the ring is zero.**
The electric field at a point due to a ring of charge can be calculated using the formula:
E = k * Q * z / (2 * pi * r^3)
Where E is the electric field, k is the electrostatic constant, Q is the charge on the ring, z is the distance from the ring to the point along the axis, and r is the radius of the ring.
In this case, the ring has a net charge of zero, which means Q = 0. Therefore, the formula becomes:
E = k * 0 * z / (2 * pi * r^3) = 0
Since the charge on the ring is zero, the electric field at any point on the axis of the ring is indeed zero.
**Explanation of the Correct Answer:**
The correct answer is option C: Statement 1 is true, and statement 2 is false.
While statement 1 is true, as explained above, statement 2 is false. The electric field at any point on the axis of the ring is not zero, even if the net charge on the ring is zero. The electric field depends on the distribution of charge along the ring, and even a non-uniform distribution can result in a non-zero electric field at points on the axis of the ring.
Therefore, statement 2 is not a correct explanation for statement 1.
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Statement - 1 : For a non-uniformly charged thin circular ring with net charge zero, the electric potential at each point on axis of the ring is zero.Statement - 2 : For a non-uniformly charged thin circular ring with net charge zero, the electric field at any point on axis of the ring is zero.a)Statement - 1 is true, Statement - 2 is true and statement - 2 is correct explanation for statement - 1.b)Statement - 1 is true, Statement - 2 is true and statement - 2 is NOT correct explanation for statement - 1.c)Statement - 1 is true, statement - 2 is false.d)Statement - 1 is false, statement - 2 is true.Correct answer is option 'C'. Can you explain this answer?
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Statement - 1 : For a non-uniformly charged thin circular ring with net charge zero, the electric potential at each point on axis of the ring is zero.Statement - 2 : For a non-uniformly charged thin circular ring with net charge zero, the electric field at any point on axis of the ring is zero.a)Statement - 1 is true, Statement - 2 is true and statement - 2 is correct explanation for statement - 1.b)Statement - 1 is true, Statement - 2 is true and statement - 2 is NOT correct explanation for statement - 1.c)Statement - 1 is true, statement - 2 is false.d)Statement - 1 is false, statement - 2 is true.Correct answer is option 'C'. Can you explain this answer? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about Statement - 1 : For a non-uniformly charged thin circular ring with net charge zero, the electric potential at each point on axis of the ring is zero.Statement - 2 : For a non-uniformly charged thin circular ring with net charge zero, the electric field at any point on axis of the ring is zero.a)Statement - 1 is true, Statement - 2 is true and statement - 2 is correct explanation for statement - 1.b)Statement - 1 is true, Statement - 2 is true and statement - 2 is NOT correct explanation for statement - 1.c)Statement - 1 is true, statement - 2 is false.d)Statement - 1 is false, statement - 2 is true.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Statement - 1 : For a non-uniformly charged thin circular ring with net charge zero, the electric potential at each point on axis of the ring is zero.Statement - 2 : For a non-uniformly charged thin circular ring with net charge zero, the electric field at any point on axis of the ring is zero.a)Statement - 1 is true, Statement - 2 is true and statement - 2 is correct explanation for statement - 1.b)Statement - 1 is true, Statement - 2 is true and statement - 2 is NOT correct explanation for statement - 1.c)Statement - 1 is true, statement - 2 is false.d)Statement - 1 is false, statement - 2 is true.Correct answer is option 'C'. Can you explain this answer?.
Statement - 1 : For a non-uniformly charged thin circular ring with net charge zero, the electric potential at each point on axis of the ring is zero.Statement - 2 : For a non-uniformly charged thin circular ring with net charge zero, the electric field at any point on axis of the ring is zero.a)Statement - 1 is true, Statement - 2 is true and statement - 2 is correct explanation for statement - 1.b)Statement - 1 is true, Statement - 2 is true and statement - 2 is NOT correct explanation for statement - 1.c)Statement - 1 is true, statement - 2 is false.d)Statement - 1 is false, statement - 2 is true.Correct answer is option 'C'. Can you explain this answer? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about Statement - 1 : For a non-uniformly charged thin circular ring with net charge zero, the electric potential at each point on axis of the ring is zero.Statement - 2 : For a non-uniformly charged thin circular ring with net charge zero, the electric field at any point on axis of the ring is zero.a)Statement - 1 is true, Statement - 2 is true and statement - 2 is correct explanation for statement - 1.b)Statement - 1 is true, Statement - 2 is true and statement - 2 is NOT correct explanation for statement - 1.c)Statement - 1 is true, statement - 2 is false.d)Statement - 1 is false, statement - 2 is true.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Statement - 1 : For a non-uniformly charged thin circular ring with net charge zero, the electric potential at each point on axis of the ring is zero.Statement - 2 : For a non-uniformly charged thin circular ring with net charge zero, the electric field at any point on axis of the ring is zero.a)Statement - 1 is true, Statement - 2 is true and statement - 2 is correct explanation for statement - 1.b)Statement - 1 is true, Statement - 2 is true and statement - 2 is NOT correct explanation for statement - 1.c)Statement - 1 is true, statement - 2 is false.d)Statement - 1 is false, statement - 2 is true.Correct answer is option 'C'. Can you explain this answer?.
Solutions for Statement - 1 : For a non-uniformly charged thin circular ring with net charge zero, the electric potential at each point on axis of the ring is zero.Statement - 2 : For a non-uniformly charged thin circular ring with net charge zero, the electric field at any point on axis of the ring is zero.a)Statement - 1 is true, Statement - 2 is true and statement - 2 is correct explanation for statement - 1.b)Statement - 1 is true, Statement - 2 is true and statement - 2 is NOT correct explanation for statement - 1.c)Statement - 1 is true, statement - 2 is false.d)Statement - 1 is false, statement - 2 is true.Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 12.
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Here you can find the meaning of Statement - 1 : For a non-uniformly charged thin circular ring with net charge zero, the electric potential at each point on axis of the ring is zero.Statement - 2 : For a non-uniformly charged thin circular ring with net charge zero, the electric field at any point on axis of the ring is zero.a)Statement - 1 is true, Statement - 2 is true and statement - 2 is correct explanation for statement - 1.b)Statement - 1 is true, Statement - 2 is true and statement - 2 is NOT correct explanation for statement - 1.c)Statement - 1 is true, statement - 2 is false.d)Statement - 1 is false, statement - 2 is true.Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Statement - 1 : For a non-uniformly charged thin circular ring with net charge zero, the electric potential at each point on axis of the ring is zero.Statement - 2 : For a non-uniformly charged thin circular ring with net charge zero, the electric field at any point on axis of the ring is zero.a)Statement - 1 is true, Statement - 2 is true and statement - 2 is correct explanation for statement - 1.b)Statement - 1 is true, Statement - 2 is true and statement - 2 is NOT correct explanation for statement - 1.c)Statement - 1 is true, statement - 2 is false.d)Statement - 1 is false, statement - 2 is true.Correct answer is option 'C'. Can you explain this answer?, a detailed solution for Statement - 1 : For a non-uniformly charged thin circular ring with net charge zero, the electric potential at each point on axis of the ring is zero.Statement - 2 : For a non-uniformly charged thin circular ring with net charge zero, the electric field at any point on axis of the ring is zero.a)Statement - 1 is true, Statement - 2 is true and statement - 2 is correct explanation for statement - 1.b)Statement - 1 is true, Statement - 2 is true and statement - 2 is NOT correct explanation for statement - 1.c)Statement - 1 is true, statement - 2 is false.d)Statement - 1 is false, statement - 2 is true.Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of Statement - 1 : For a non-uniformly charged thin circular ring with net charge zero, the electric potential at each point on axis of the ring is zero.Statement - 2 : For a non-uniformly charged thin circular ring with net charge zero, the electric field at any point on axis of the ring is zero.a)Statement - 1 is true, Statement - 2 is true and statement - 2 is correct explanation for statement - 1.b)Statement - 1 is true, Statement - 2 is true and statement - 2 is NOT correct explanation for statement - 1.c)Statement - 1 is true, statement - 2 is false.d)Statement - 1 is false, statement - 2 is true.Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Statement - 1 : For a non-uniformly charged thin circular ring with net charge zero, the electric potential at each point on axis of the ring is zero.Statement - 2 : For a non-uniformly charged thin circular ring with net charge zero, the electric field at any point on axis of the ring is zero.a)Statement - 1 is true, Statement - 2 is true and statement - 2 is correct explanation for statement - 1.b)Statement - 1 is true, Statement - 2 is true and statement - 2 is NOT correct explanation for statement - 1.c)Statement - 1 is true, statement - 2 is false.d)Statement - 1 is false, statement - 2 is true.Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice Class 12 tests.
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