If the wire has resistively per unit area of cross-section.the resistance between `A` and `B` is

Options

A. `(rho l)/(sqrt2)`
B. `sqrt2 rho l`
C. `2 rho l`
D. none of these

Answer

A

Explanation

(a) The figure can be redrawn as :
`R = (rho l)/(2)`
`R_(1) = (rho l)/(sqrt2)`
`R_(eq) = (1)/(2) [(2 R R_(1))/(2R + R_(1)) = 2R] = (rho l)/(sqrt2)`