A nichrome wire \( \mathrm{AB}, 100 \mathrm{~cm} \) long and of uni...

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A nichrome wire \( \mathrm{AB}, 100 \mathrm{~cm} \) long and of uniform cross section is mounted on a meter scale the points \( A \) and \( B \) coinciding with \( 0 \mathrm{~cm} \) and \( 100 \mathrm{~cm} \) marks respectively. The wire has a resistance \( S=50 \mathrm{ohm} \). Any point \( \mathrm{C} \) along this wire, between \( \mathrm{A} \) and \( \mathrm{B} \) is called a variable point to which on end of and electrical element is connected. In the following questions this arrangement will be referred to as 'wire \( A B^{\prime} \) '.

The emf of a battery is determined using the following circuit with 'wire \( \mathrm{AB}^{\text {'. The galvanometer shows }} \) zero deflection when one of its terminals is connected to point \( \mathrm{C} \). If the internal resistance of the battery is \( 4 \mathrm{ohm} \), its emf is
(A) \( 3.75 \) volt
(B) \( 4.05 \) volt
(C) \( 2.50 \) volt
(D) \( 9.0 \) volt
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