ExamBro
ExamBro
JEE Mains · Physics · STD 12 - Current electricity
  • JEE Mains 2022
  • Medium
  • Numerical

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.........\(cm .\)

Pick an option to check your answer.
Verified Solution

Answer & Solution

Correct Answer

(A) \(25\)

Step-by-step Solution

Detailed explanation

\(\frac{\varepsilon_{1}}{\varepsilon_{2}}=\frac{\ell_{1}}{\ell_{2}}\)

\(\frac{3}{2}=\frac{75 \,cm }{\ell_{2}}\)

\(\ell_{2}=50\, cm\)

\(\ell_{1}-\ell_{2}=75-50\)

\(=25 \,cm\)