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Statement I:A uniformly charged disk has...

Statement I:A uniformly charged disk has a pin hole at its centre. The electric field at the center of the disk is zero.
Statement II: Disk can be supposed to be made up of many rings. Also, electric field at the center of a uniformly charged ring is zero.

A

Statement I is true, Statement II is True, Statement II is a correct explanation for statement I.

B

Statement I is true, Statement II is True, Statement II is Not a correct explanation for statement I.

C

Statement I is True, Statement II is False.

D

Statement I is False, Statement II is True.

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to analyze both statements and determine their validity, as well as the relationship between them. ### Step 1: Analyze Statement I - **Statement I**: A uniformly charged disk has a pinhole at its center. The electric field at the center of the disk is zero. - **Explanation**: For a uniformly charged disk, the electric field at any point along the axis (including the center) is determined by the contributions from all the infinitesimally small charge elements on the disk. Due to symmetry, the horizontal components of the electric field from opposite sides of the disk cancel out, leading to a net electric field of zero at the center. ### Step 2: Analyze Statement II - **Statement II**: The disk can be supposed to be made up of many rings. Also, the electric field at the center of a uniformly charged ring is zero. - **Explanation**: A uniformly charged disk can indeed be thought of as being composed of many concentric rings. The electric field at the center of a uniformly charged ring is zero because the contributions from all the charge elements on the ring cancel out due to symmetry. Therefore, as the disk is made up of such rings, the electric field at the center of the disk will also be zero. ### Step 3: Determine the Relationship Between the Statements - Since both statements are true and Statement II provides a valid explanation for Statement I, we conclude that both statements are correct. ### Conclusion - Both Statement I and Statement II are correct, and Statement II is the correct explanation for Statement I. ### Final Answer - The correct answer is that both statements are true, and Statement II is the correct explanation for Statement I. ---
To solve the problem, we need to analyze both statements and determine their validity, as well as the relationship between them. ### Step 1: Analyze Statement I - **Statement I**: A uniformly charged disk has a pinhole at its center. The electric field at the center of the disk is zero. - **Explanation**: For a uniformly charged disk, the electric field at any point along the axis (including the center) is determined by the contributions from all the infinitesimally small charge elements on the disk. Due to symmetry, the horizontal components of the electric field from opposite sides of the disk cancel out, leading to a net electric field of zero at the center. ### Step 2: Analyze Statement II - **Statement II**: The disk can be supposed to be made up of many rings. Also, the electric field at the center of a uniformly charged ring is zero. ...
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