An electric current is passed through a circuit containing two wires of the same material, connected in parallel. If the lengths and radii are in the ratio of 4/3 and 2/3, then the ratio of the current passing through the wires will be

Options

A. `8//9`
B. `1//3`
C. `3`
D. `2`

Answer

B

Explanation

`R_1 = (rho l_(1) )/( pi r_(1)^(2) ) , R_(2) = (rho l_(2) )/( pi r_(2)^(2))`
`i_(1) R_(1) = i_(2) R_(2)` (same potential difference)
`therefore (i_1)/(i_2)= (R_2)/( R_1) = (l_2)/(l_1) xx (r_(1)^(2))/(r_(2)^(2))= (3)/(4) xx (4)/(9) = (1)/(3)`