A fuse wire with a circular cross-section and having a diam eter of 0.4mm blows with a current of 3 ampere. The value of current for which another fuse wire made of the same material but having circular co rss-section with diameter of 0.6mm will blow is:-

Options

A. 3A
B. `3xxsqrt((3)/(2))A`
C. `3xx((3)/(2))^((3)/(2))A`
D. `3xx((3)/(2))A`

Explanation

To solve the problem step by step, we will use the relationship between the current flowing through a fuse wire and its radius. The current is directly proportional to the radius raised to the power of \( \frac{3}{2} \).

### Step 1: Understand the given data
- The diameter of the first fuse wire, \( d_1 = 0.4 \, \text{mm} \)
- The current at which this fuse blows, \( I_1 = 3 \, \text{A} \)
- The diameter of the second fuse wire, \( d_2 = 0.6 \, \text{mm} \)

### Step 2: Calculate the radii of the fuse wires
...