If the area of a metal wire of a given length is doubled, then its resistance will be-

Correct option is B

​$$\text{Resistance } R \text{ of a wire is given by the formula:} \\R = \frac{\rho L}{A}\text{Where:} \\\bullet \quad R = \text{Resistance} \\\bullet \quad \rho = \text{Resistivity of the material (constant for a given material)} \\\bullet \quad L = \text{Length of the wire (constant in this case)} \\\bullet \quad A = \text{Cross-sectional area of the wire}\text{If the area } A \text{ is doubled, and the length and material remain the same:} \\R' = \frac{\rho L}{2A} = \frac{1}{2} \cdot \frac{\rho L}{A} = \frac{R}{2}\text{So, the resistance becomes } \textbf{half} \text{ of its original value.}$$​​