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Statement I : The wires supplying curren...

Statement I : The wires supplying current to an electric heater are not heated appreciably.
Statement II: Resistance of connecting wires is very small and `H prop R`.

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 is False.

D

Statement I is False, Statement II is True.

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we need to analyze both statements provided: **Statement I**: The wires supplying current to an electric heater are not heated appreciably. **Statement II**: The resistance of connecting wires is very small and \( H \propto R \). ### Step 1: Understand the Heat Production in Wires The heat produced in a conductor due to current can be expressed by the formula: \[ H = I^2 R T \] where: - \( H \) is the heat produced, - \( I \) is the current, - \( R \) is the resistance of the wire, - \( T \) is the time for which the current flows. ### Step 2: Analyze Statement I Statement I claims that the wires supplying current to the electric heater do not heat up appreciably. This can be true if the resistance of these wires is significantly lower than the resistance of the heater itself. ### Step 3: Analyze Statement II Statement II states that the resistance of the connecting wires is very small and that heat produced is directly proportional to resistance. This is correct because if the resistance \( R \) is small, the heat \( H \) produced in the wires will also be small, given a constant current \( I \). ### Step 4: Compare the Resistance of Wires and Heater In an electric heater, the resistance of the heater is designed to be much larger than that of the connecting wires. Therefore, most of the heat is generated in the heater, not in the wires. ### Step 5: Conclusion - **Statement I** is true because the wires do not heat up appreciably due to their low resistance compared to the heater. - **Statement II** is also true as it correctly describes the relationship between resistance and heat produced. ### Final Answer Both statements are true, and Statement II provides a correct explanation for Statement I. ### Summary - **Statement I**: True - **Statement II**: True - **Explanation**: Statement II explains why Statement I is true.

To solve the question, we need to analyze both statements provided: **Statement I**: The wires supplying current to an electric heater are not heated appreciably. **Statement II**: The resistance of connecting wires is very small and \( H \propto R \). ### Step 1: Understand the Heat Production in Wires The heat produced in a conductor due to current can be expressed by the formula: \[ ...
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