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TS EAMCET · Physics · Current Electricity

In a meter bridge experiment the ratio of the left gap resistance to the right gap resistance is \(2: 3\). The balance length from left end is

  1. A \(20 \mathrm{~cm}\)
  2. B \(60 \mathrm{~cm}\)
  3. C \(50 \mathrm{~cm}\)
  4. D \(40 \mathrm{~cm}\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(50 \mathrm{~cm}\)

Step-by-step Solution

Detailed explanation

From meter bridge principle \[ \begin{aligned} & \frac{X}{R}=\frac{l_1}{100-l_1} \\ & \frac{3}{3}=\frac{l_1}{100-l_1} \Rightarrow 300-31_1=31_1 \\ & 30 \mathrm{i}=6 l_1 \Rightarrow 1_1=\frac{300}{6}=50 \mathrm{~cm} \end{aligned} \]
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