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Question: When the length and area of cross-section both are doubled, then its resistance...

When the length and area of cross-section both are doubled, then its resistance

A

Will become half

B

Will be doubled

C

Will remain the same

D

Will become four times

Answer

Will remain the same

Explanation

Solution

R1∝lA⇒R2∝2l2Ai.e.R2∝lAR_{1} \propto \frac{l}{A} \Rightarrow R_{2} \propto \frac{2l}{2A}i.e.R_{2} \propto \frac{l}{A}

∴R1=R2\therefore R_{1} = R_{2}