A conducting wire of diameter 0.5 mm has a resistance of 8 `omega` . The resistance of a wire of same length and material having a diameter 1 mm will be

Options

A. 32 `omega`
B. 16 `omega`
C. 4 `omega`
D. 2 `omega`

Explanation

As resistance of wire `R=p(l)/(A)`
here l=constant
`rarr R prop (1)/(d^(2))`
`R_(2) =2 omega`