In the following circuit diagram. The galvanometer reading is zero. If the inter nal resistance of cells are negligible then what is the value of X?

Explanation

To solve the problem, we will use Kirchhoff's Voltage Law (KVL) and the information provided about the circuit. Here’s a step-by-step solution:

### Step 1: Understand the Circuit
We have a circuit with two voltage sources (12V and 2V) and a resistor of 500 ohms. The galvanometer reading is zero, indicating that the current through the galvanometer is zero. This means the potential difference across the galvanometer is also zero.

### Step 2: Apply Kirchhoff's Voltage Law (KVL)
According to KVL, the sum of the potential differences in a closed loop is equal to zero. For the outer loop of the circuit, we can write the equation as:
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