A galvanometer gives full scale deflection of 1 volt when acting like a volmeter when connected in series with `2 kOmega` resistance. The same galvanometer gives `500 mA`, full scale deflection when acting like a ammeter when connected with shunt resistance of value `0.2 Omega` in parallel. Find out the resistance of galvanometer.

Explanation

To solve the problem, we need to find the resistance of the galvanometer (denoted as \( G \)) using the information provided about its operation as a voltmeter and an ammeter.

### Step-by-Step Solution:

1. **Understanding the Voltmeter Configuration**:
- When the galvanometer acts as a voltmeter, it is connected in series with a resistance of \( 2 \, k\Omega \) (or \( 2000 \, \Omega \)).
- The full-scale deflection occurs at \( 1 \, V \).
- The current through the galvanometer (\( I_G \)) can be expressed using Ohm's law:
...