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

In a potentiometer arrangement, a cell gives a balancing point at \(75\, cm\) length of wire. This cell is now replaced by another cell of unknown emf. If the ratio of the emf's of two cells respectively is \(3: 2\), the difference in the balancing length of the potentiometer wire in above two cases will be.........\(cm .\)

  1. A \(25\)
  2. B \(255\)
  3. C \(95\)
  4. D \(27\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(25\)

Step-by-step Solution

Detailed explanation

\(\frac{\varepsilon_{1}}{\varepsilon_{2}}=\frac{\ell_{1}}{\ell_{2}}\) \(\frac{3}{2}=\frac{75 \,cm }{\ell_{2}}\) \(\ell_{2}=50\, cm\) \(\ell_{1}-\ell_{2}=75-50\) \(=25 \,cm\)
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