A piece of wire of resistance R is cut into five equal parts. These parts are thenconnected in parallel. If the equivalent resistance of this combination is R., then the ratio R/(R.) is ………………. .

A piece of wire of resistance R is cut into five equal parts. These pa

1.	A piece of wire of resistance R is cut into five equal parts. These parts are thenconnected in parallel. If the equivalent resistance of this combination is R., then the ratio R/(R.) is ………………. .
Answer» `1/25` `1/5` `5` `25` Solution :Here, the resistance of a piece of wire is R. This piece of wire is CUT into FIVE equal parts, so the resistance of eachpart would be `R/5`. Now, these five parts each having resistance of `R/5` are connected in parallel. The equivalent resistance R. of this combination is given by `1/(R.) =(1)/(R/5) + 1/(R/5) +1/(R/5) +1/(R/5) +1/(R/5)` `:. 1/(R.) = 5/R + 5/R +5/R + 5/R +5/R= (25)/R` `:.R/(R.) =2 5`