Potential difference of 100 V is applied to the ends of a copper wire one metre long. Calculate the average drift velocity at `27^@ C` . Assume that there is one conduction electron per atom. The density of copper is `9.0xx10^3 kg//m^3` , Atomic mass of copper id 63.5 g. Avogadro's number `=6.0xx10^(23)` per gram- mole. Conductivity of copper is `5.81xx10^(7) Omega^(-1)` . Boltzmann constant `=1.38xx10^(-23) JK^(-1)` .

Explanation

To solve the problem, we need to calculate the average drift velocity of conduction electrons in a copper wire when a potential difference is applied. Here are the steps to arrive at the solution:

### Step 1: Calculate the number density of conduction electrons (n)
Given:
- Atomic mass of copper (M) = 63.5 g/mol
- Density of copper (ρ) = 9.0 × 10³ kg/m³
- Avogadro's number (N_A) = 6.0 × 10²³ atoms/mol

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