What is the minimum resistance which can be made using five resistors each of `(1//5) Omega` ?

Options

A. `1//5 omega`
B. `1//25 omega`
C. `1//10 omega`
D. `25 omega`

Answer

B

Explanation

Minimum resistance is obtained when resistors are connected in parallel combination. Thus, equivalent resistance obtained by connecting five resistors of resistance `1//5 omega` each, parallel to each other:
`(1)/(R )=(1)/(1//5)+(1)/(1//5)+(1)/(1//5)+(1)/(1//5)+(1)/(1//5)rarr(1)/(R )=(5)/(1//5)`
`rarr (1)/(R )=1/25 omega`