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A potentiometer wire of length \( \mathrm{Im} \) is connected to a drive cell of \( \mathrm{emf} 3 \mathrm{~V} \) as shown in the figure. When a cell of \( 1.5 \mathrm{~V} \) emf is used in the secondary circuit, the balance point is found to be \( 60 \mathrm{~cm} \). On replacing this
\( \mathrm{P} \) cell and using a cell of unknown emf, the balance point shifts to \( 80 \mathrm{~cm} \)

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(i) Calculate unknown emf of the cell.
(ii) Explain with reason, whether the circuit works, if the drive cell is replaced with a cell emf \( 1 \mathrm{~V} \).
(iii) Does the high resistance R, used in the secondary circuit affect the balance point? Justify your answer.
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