A moving coil galvanometer allows a full scale current of `10^-4A` . A series resistance of `2mOmega` is required to convert the above galvanometer into voltmeter of range 0-5 V. Therefore, the value of shunt resistance required to convert the above galvanometer into an ammeter of range 0-10 mA is:

Options

A. `10Omega`
B. `100Omega`
C. `500Omega`
D. `200Omega`

Explanation

To solve the problem step by step, we will first analyze the given information and then use the appropriate formulas to find the required shunt resistance.

### Step 1: Understand the given information
- The full-scale deflection current of the galvanometer (I_G) is \(10^{-4} A\) (or 0.1 mA).
- The range of the voltmeter is 0 to 5 V, and a series resistance of \(2 m\Omega\) (or \(2 \times 10^{-3} \Omega\)) is used.

### Step 2: Calculate the resistance of the galvanometer (R_G)
Using the formula for a voltmeter:
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