To verify Ohm's law, a student is provided with a test resistor `R_(T)`, a high resistance `R_(1)` . a small resistance `R_(2)`, two identical galvometers `G_(1)` and `G_(2)` and voltage source `V`. The correct circuit to carry out the experiment is.

Explanation

To verify Ohm's law using the provided components, we need to set up a circuit that allows us to measure the current through a test resistor and the voltage across it. Here’s a step-by-step solution to create the correct circuit:

### Step-by-Step Solution:

1. **Identify Components**: We have a test resistor \( R_T \), a high resistance \( R_1 \), a small resistance \( R_2 \), and two galvanometers \( G_1 \) and \( G_2 \).

2. **Understanding the Role of Galvanometers**:
- \( G_1 \) will be used to measure current, so we need to convert it into an ammeter.
- \( G_2 \) will be used to measure voltage, so we need to convert it into a voltmeter.

3. **Creating an Ammeter**:
- To convert \( G_1 \) into an ammeter, connect the small resistance \( R_2 \) in parallel with \( G_1 \). This setup allows most of the current to bypass the galvanometer, protecting it from high current while still allowing it to measure the small current flowing through it.

4. **Creating a Voltmeter**:
- To convert \( G_2 \) into a voltmeter, connect the high resistance \( R_1 \) in series with \( G_2 \). This configuration ensures that the galvanometer measures the voltage drop across \( R_1 \) while limiting the current through it.

5. **Connecting the Circuit**:
- Connect the ammeter setup (i.e., \( G_1 \) and \( R_2 \)) in series with the test resistor \( R_T \).
- Connect the voltmeter setup (i.e., \( G_2 \) and \( R_1 \)) across the test resistor \( R_T \).
- Finally, connect the entire circuit to the voltage source \( V \).

6. **Final Circuit Layout**:
- The circuit should look like this:
- The voltage source \( V \) connects to the series combination of \( R_T \) and the ammeter (which is \( G_1 \) and \( R_2 \)).
- The voltmeter (which is \( G_2 \) and \( R_1 \)) is connected across \( R_T \).