An electric of `5A` is passing through a circuit contaning three arrengement in parallel if the length and radius of the wires are in the ratio `2:3:4 and 3:4:5` then the ratio of current passing through wires should be

Options

A. 54 : 64 : 75
B. 0.38640046296296
C. 0.17310185185185
D. 0.12928240740741

Answer

A

Explanation

`R= (p^(varphi))/(A),R_(1),R_(2):R_(3)=(2)/(9):(3)/(16):(4)/(25)`
As the wires are connected in parallel `Iprop1//RI_(1):I_(2):I_(3)=9//2:16:3:25: 4 = 54 : 64 : 75` therefore Hence (A) is correct