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The resistance of a wire is given by 100...

The resistance of a wire is given by `100Omega`
The specific resistance is proportional to:

A

L

B

R

C

A

D

None of these

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question regarding the specific resistance (also known as resistivity) and its proportionality, we can follow these steps: ### Step-by-Step Solution: 1. **Understanding Resistance Formula**: The resistance \( R \) of a wire is given by the formula: \[ R = \frac{\rho l}{A} \] where: - \( R \) is the resistance, - \( \rho \) is the specific resistance (resistivity), - \( l \) is the length of the wire, - \( A \) is the cross-sectional area of the wire. 2. **Identifying the Variables**: From the formula, we can see that the specific resistance \( \rho \) is related to the resistance \( R \), length \( l \), and area \( A \). However, we need to determine what specific resistance is proportional to. 3. **Analyzing the Proportionality**: - The specific resistance \( \rho \) is a property of the material and does not depend on the dimensions of the wire (length and area). - Since \( R \) depends on both \( l \) and \( A \), changing these will change \( R \) but not \( \rho \). 4. **Conclusion**: Since specific resistance \( \rho \) is a material property and does not depend on the dimensions of the wire or the resistance itself, we conclude that it is not proportional to \( R \), \( l \), or \( A \). 5. **Final Answer**: Therefore, the correct answer is "none of these".

To solve the question regarding the specific resistance (also known as resistivity) and its proportionality, we can follow these steps: ### Step-by-Step Solution: 1. **Understanding Resistance Formula**: The resistance \( R \) of a wire is given by the formula: \[ R = \frac{\rho l}{A} ...
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