In a metre bridge experiment, the ratio of the left gap resistance to right gap resistance is $2: 3$, the…

In a metre bridge experiment, the ratio of the left gap resistance to right gap resistance is $2: 3$, the balance point from left is
  1. $60 \mathrm{~cm}$
  2. $50 \mathrm{~cm}$
  3. $40 \mathrm{~cm}$
  4. $20 \mathrm{~cm}$

Solution

Here, $\frac{P}{Q}=\frac{2}{3}$ We know $\begin{aligned} \frac{P}{Q} & =\frac{l}{100-l} \\ \Rightarrow \quad \frac{2}{3} & =\frac{l}{100-l} \\ \Rightarrow \quad l & =40 \mathrm{~cm}\end{aligned}$

Asked in: AP EAMCET 2007

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