When the two known resistances $R$ and $S$ are connected in the left and right gaps of a meter bridge respectively,the null point is found at a distance $l_1$ from the zero end of the meter bridge wire. An unknown resistance $X$ is now connected in parallel with $S$,and the null point is found at a distance $l_2$ from the zero end of the meter bridge wire. The unknown resistance $X$ is:

  • A
    $\frac{S l_1(100-l_2)}{100(l_2-l_1)}$
  • B
    $\frac{S l_2(100-l_1)}{100(l_1-l_2)}$
  • C
    $\frac{100(l_2-l_1)}{S l_1(100-l_2)}$
  • D
    $\frac{100(l_2-l_1)}{S l_2(100-l_1)}$

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