A conductor of resistance `3Omega` is stretched uniformly till its length if doubled. The wire is now bent in the form of an equivalent triangle. The effective resistance between the ends of any side of the triangle in ohm is

Options

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

Answer

C

Explanation

In a Potentiometer , `(l_1)/(l_2)= (R_1)/(R_2)`
Rightarrow `(560)/(560-60) = (R ) /[(10r)/(10+R)]`
Rightarrow `(560)/(500) = r(10+r)/(10r)`
Rightarrow `r= 1.2Omega`