Order of resistivity for aluminium, mercury, copper and tungsten is

Options

A. `rho_(Cu) lt rho_(Al) lt rho_W lt rho_(Hg)`
B. `rho_(W) lt rho_(Hg) lt rho_(Al) lt rho_(Cu)`
C. `rho_(Cu) lt rho_(Hg) lt rho_(Al) lt rho_(W)`
D. `rho_(Hg) lt rho_(W) lt rho_(Al) lt rho_(Cu)`

Answer

To determine the order of resistivity for aluminum, mercury, copper, and tungsten, we need to know the resistivity values of each material. Here’s a step-by-step solution:

### Step 1: Gather Resistivity Values
We need to recall the resistivity values for the four materials:
- **Aluminum (Al)**: \(2.65 \times 10^{-8} \, \Omega \cdot m\)
- **Mercury (Hg)**: \(98 \times 10^{-8} \, \Omega \cdot m\)
- **Copper (Cu)**: \(1.68 \times 10^{-8} \, \Omega \cdot m\)
- **Tungsten (W)**: \(5.6 \times 10^{-8} \, \Omega \cdot m\)

### Step 2: Compare the Resistivity Values
Now, we will compare the resistivity values to determine their order:
- Copper: \(1.68 \times 10^{-8} \, \Omega \cdot m\) (lowest resistivity)
- Aluminum: \(2.65 \times 10^{-8} \, \Omega \cdot m\)
- Tungsten: \(5.6 \times 10^{-8} \, \Omega \cdot m\)
- Mercury: \(98 \times 10^{-8} \, \Omega \cdot m\) (highest resistivity)

### Step 3: Arrange in Order of Increasing Resistivity
Based on the values, we can arrange them in order of increasing resistivity:
1. Copper (Cu) - \(1.68 \times 10^{-8} \, \Omega \cdot m\)
2. Aluminum (Al) - \(2.65 \times 10^{-8} \, \Omega \cdot m\)
3. Tungsten (W) - \(5.6 \times 10^{-8} \, \Omega \cdot m\)
4. Mercury (Hg) - \(98 \times 10^{-8} \, \Omega \cdot m\)

### Final Order
Thus, the order of resistivity for the materials is:
**Copper < Aluminum < Tungsten < Mercury**

### Conclusion
The correct option based on the resistivity values is:
**Copper, Aluminum, Tungsten, Mercury**

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