Q146 / 160 · TS EAMCET 2023 (13 May Shift 1) · Physics

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

  • A
    $20 \mathrm{~cm}$
  • B
    $60 \mathrm{~cm}$
  • Correct answer
    C
    $50 \mathrm{~cm}$
  • D
    $40 \mathrm{~cm}$

Solution

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

Hence, the correct answer is option: 'C'.

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