The resistance of metal sheet 1 between A and B is `R_(1)` and the resistance of sheet 2 between A' and B' is `R_(2)`. The value of the ratio `(R_1)/(R_2)` is

Options

A. 1
B. `1/2`
C. 2
D. 4

Answer

A

Explanation

For sheet 1 resistance is
`R_(1)=(rho l)/("lt")=(rho)/t`, where `rho, l & t` represents resitivity, length of sheet and thickness of the sheet respectively.

For sheet 2 resistance is
`R_(2)=(rho 2l)/(2lxxt)=(rho)/t` where `rho, l & t` represents resistivity length of sheet and thickness of the sheet respectively
`:.(R_(1))/(R_(2))=1`