In a potentiometer experiment when a battery of e.m.f . 2 V is included in the secondary circuit, the balance point is at 500 cm . Find the balancing length from the same end when a cadmium cell is e.m.f 1.018V is connected to the secondary circuit.

Explanation

To solve the problem step by step, we will use the relationship between the electromotive force (e.m.f) of the cells and the balancing lengths in a potentiometer experiment.

### Step 1: Understand the relationship
In a potentiometer, the e.m.f of the cell is directly proportional to the length of the wire used for balancing. This can be expressed mathematically as:
\[ \frac{E_1}{E_2} = \frac{L_1}{L_2} \]
where:
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