A uniform wire of length 1 and radius r has a resistance of 100 Ω. It is recast into a wire of radius r/2. The resistance of new wire will be:

Current Electricity: JEE Main 2017 Physics question

JEE Main 2017 · 9 Apr, Morning shift · Q6510

JEE Main 20179 Apr, Morning shiftPhysicsMediumCurrent Electricity150× since 2002

A uniform wire of length 1 and radius r has a resistance of 100

\Omega

. It is recast into a wire of radius

{r \over 2}.

The resistance of new wire will be :

JEE Main 2017 · 9 Apr, Morning shift · Q6510

JEE Main 20179 Apr, Morning shiftPhysicsMediumCurrent Electricity150× since 2002

A uniform wire of length 1 and radius r has a resistance of 100

\Omega

. It is recast into a wire of radius

{r \over 2}.

The resistance of new wire will be :