A 12 cm wire is given a shape of a right angled triangle ABC having sides 3 cm, 4 cm and 5 cm, as shown in the figure. The resistance between two ends (AB, BC, CA) of the respective sides are measured one by one by a multi-meter. The resistances will be in the ratio-

Options

A. `9:16:25`
B. `27:32:35`
C. `21:24:25`
D. `3:4:5`

Answer

B

Explanation

`R_(AB) = (9 xx 3)/(9 + 3) = 27/12`
`R_(BC) = (8 xx 4)/(8+ 4) = 32/12`
`R_(AC) = (7 xx 5)/(7 + 5) = 35/12`
as `R prop l`
`R_(AB): R_(BC) : R_(AC) = 27 : 32 : 35`