Which of the following arrangements is correct on the basis of conductivity of materials?

Options

A. Silver `gt` copper `gt` aluminium `gt` tungsten
B. Silver `gt` aluminium `gt` copper `gt` tungsten
C. Copper `gt` silver `gt` tungsten `gt` aluminium
D. Silver `gt` tungsten `gt` copper `gt` aluminium

Explanation

To determine the correct arrangement of materials based on their conductivity, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Relationship Between Conductivity and Resistivity**:
- Conductivity (σ) is inversely proportional to resistivity (ρ). This means that if a material has low resistivity, it has high conductivity, and vice versa.
- The relationship can be expressed as:
\[ \sigma = \frac{1}{\rho} \]

2. **List the Metals and Their Resistivity Values**:
- The metals in question are Silver, Copper, Aluminum, and Tungsten.
- The resistivity values for these metals are as follows:
- Silver (Ag): \(1.6 \times 10^{-8} \, \Omega \cdot m\)
- Copper (Cu): \(1.7 \times 10^{-8} \, \Omega \cdot m\)
- Aluminum (Al): \(2.7 \times 10^{-8} \, \Omega \cdot m\)
- Tungsten (W): \(5.6 \times 10^{-8} \, \Omega \cdot m\)

3. **Determine the Order of Resistivity**:
- From the resistivity values, we can arrange the metals in order of increasing resistivity:
- Tungsten (highest resistivity)
- Aluminum
- Copper
- Silver (lowest resistivity)

4. **Determine the Order of Conductivity**:
- Since conductivity is inversely related to resistivity, we can now arrange the metals in order of decreasing conductivity:
- Silver (highest conductivity)
- Copper
- Aluminum
- Tungsten (lowest conductivity)

5. **Final Arrangement**:
- The correct order of the materials based on conductivity is:
- Silver > Copper > Aluminum > Tungsten

6. **Select the Correct Option**:
- Based on the options provided, the correct arrangement is:
- Silver, Copper, Aluminum, Tungsten.

### Summary of the Solution:
The correct order of materials based on conductivity is Silver, Copper, Aluminum, and Tungsten.