There is a cylindrical wire whose temperature coefficient of resistivity is `6 times 10^-3^@C^-1` and co-efficient of linear expansion in `10^-3^@C^-1`. Its temperature coefficient of resistance is `N times 10^-3^@c^-1` . Then, the value of N is:

Options

A. 4
B. 5
C. 7
D. 8

Explanation

To find the value of \( N \) in the given problem, we need to calculate the temperature coefficient of resistance (\( \alpha_R \)) for the cylindrical wire using the provided coefficients of resistivity and linear expansion.

### Step-by-Step Solution:

1. **Identify Given Values**:
- Temperature coefficient of resistivity: \( \alpha_\rho = 6 \times 10^{-3} \, \text{°C}^{-1} \)
- Coefficient of linear expansion: \( \alpha = 10 \times 10^{-3} \, \text{°C}^{-1} \)

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