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STATEMENT-1 : When some charge is given ...

STATEMENT-1 `:` When some charge is given to an irregular shaped conductor, it distributes itself so that charge density is same everywhere.
and
STATEMENT-2 `:` A conductor has to be equipotential under static condition.

A

Statement-1 is True, Statement-2 is True, Statement-2 is a correct explanation for Statement-1

B

Statement-1 is True, Statement-2 is True, Statement-2 is NOT a correct explanation for Statement-1

C

Statement-1 is True, Statement-2 is False

D

Statement-1 is False , Statement-2 is True

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to analyze both statements given in the question and determine their validity based on the principles of electrostatics. ### Step 1: Analyze Statement 1 **Statement 1:** "When some charge is given to an irregular shaped conductor, it distributes itself so that charge density is same everywhere." - In electrostatics, when a charge is placed on a conductor, it redistributes itself on the surface of the conductor. - The charge density (σ) on the surface of a conductor is not uniform; it varies with the shape of the conductor. - The surface charge density is inversely proportional to the radius of curvature of the surface. This means that at points where the surface is more curved (smaller radius of curvature), the surface charge density is higher, and at points where the surface is flatter (larger radius of curvature), the surface charge density is lower. - Therefore, the statement that charge density is the same everywhere on an irregular shaped conductor is **false**. ### Step 2: Analyze Statement 2 **Statement 2:** "A conductor has to be equipotential under static condition." - A conductor in electrostatic equilibrium is indeed an equipotential surface. - This means that the electric potential is constant throughout the entire surface of the conductor. - The reason for this is that if there were a potential difference across different points on the conductor, it would create an electric field that would cause charges to move, contradicting the static condition. - Since the electric field inside a conductor is zero in electrostatic equilibrium, the potential inside the conductor must be equal to the potential on its surface. - Therefore, this statement is **true**. ### Conclusion - **Statement 1 is false.** - **Statement 2 is true.** Thus, the correct answer is that Statement 1 is false and Statement 2 is true. ### Final Answer - Statement 1: False - Statement 2: True
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