Consider a wire of resistance 10 Ω If there is another wire of the same material and the same length as the previous one.

but the cross - sectional area is double, then the resistance of the new wire is:

Correct option is B

The correct answer is (B) 5 Ω.

The resistance of the new wire is 5 Ω.

Here's why:

• Resistance and Cross-Sectional Area: Resistance is inversely proportional to the cross-sectional area of a wire. This means that if you double the cross-sectional area, the resistance will be halved.
• Calculation:
• Initial resistance (R₁) = 10 Ω
• New cross-sectional area = 2 * initial cross-sectional area
• New resistance (R₂) = $$\frac{R_1}{2} = \frac{10 Ω}{2}$$​ = 5 Ω

Therefore, the resistance of the new wire is 5 Ω.