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JEE Mains · Physics · STD 12 - 3. current electricity

In a meter bridge experiment resistances are connected as shown in the figure. Initially resistance \(P\, = 4\,\Omega \) and the neutral point \(N\) is at \(60\,cm\) from \(A\). Now an unknown resistance \(R\) is connected in series to \(P\) and the new position of the neutral point is at \(80\,cm\) from \(A\) . The value of unknown resistance \(R\) is

  1. A \(\frac{33}{5}\, \Omega \)
  2. B \( 6\,\Omega \)
  3. C \( 7\,\Omega \)
  4. D \(\frac{20}{3}\, \Omega \)
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Answer & Solution

Correct Answer

(D) \(\frac{20}{3}\, \Omega \)

Step-by-step Solution

Detailed explanation

In balance position of bridge, \(\frac{P}{Q}=\frac{l}{(100-l)}\) Initially neutral position is \(60\, \mathrm{cm} .\) from \(\mathrm{A}\), so \(\frac{4}{60}=\frac{Q}{40} \Rightarrow Q=\frac{16}{6}=\frac{8}{3}\, \Omega\) Now, when unknown resistance \(\mathrm{R}\) is connected in…
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