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AIIMS 2017
Exam
AIIMS
Year
2017
Subject
Physics
Chapter
Current Electricity

AIIMS 2017 · Physics · Current Electricity

A meter bridge is set-up as shown, to determine an unknown...

A meter bridge is set-up as shown, to determine an unknown resistance XX using a standard 10ohm10 \mathrm{ohm} resistor. The galvanometer shows null point when tapping-key is at 52 cm52 \mathrm{~cm} mark. The end-corrections are 1 cm1 \mathrm{~cm} and 2 cm2 \mathrm{~cm} respectively for the ends AA and BB. The determined value of XX is A meter bridge is set-up as shown, to determine an unknown resistance X using a standard 10 ohm resistor. The

Options

  1. A10.2ohm10.2 \mathrm{ohm}
  2. B10.6ohm10.6 \mathrm{ohm}
  3. C10.8ohm10.8 \mathrm{ohm}
  4. D11.1ohm11.1 \mathrm{ohm}

Correct answer

B. 10.6ohm10.6 \mathrm{ohm}

Step-by-step solution

Applying the condition of balanced Wheatstone bridge, we get X10Ω=(52+1)cm(48+2)cm=5350,X=10Ω×5350=10.6Ω\begin{aligned} & \frac{X}{10 \Omega}=\frac{(52+1) \mathrm{cm}}{(48+2) \mathrm{cm}}=\frac{53}{50}, \\ & X=10 \Omega \times \frac{53}{50}=10.6 \Omega\end{aligned}
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