If resistivity of pure silicon is `3000 Omega m` and the electron and hole mobilities are  `0.12m^(2)v^(-1)s^(-1)`and `0.045 m^(2)v^(-1)s^(-1)` respectively, determine. The resistivity of a specimen of the material when `10^(19)` atoms of phosphorous are added `per m^(3)` Given  `e=1.6 xx10^(-19) c, rho =3000Omega, u_(e)=0.12m^(2)v^(-1)s^(-1), u_(h)=0.045m^(2)v^(-1)s^(-1)`

Explanation

To solve the problem, we need to determine the resistivity of a specimen of silicon after adding a certain number of phosphorus atoms. Here’s a step-by-step breakdown of the solution:

### Step 1: Understand the Given Data
- Resistivity of pure silicon, \( \rho = 3000 \, \Omega \cdot m \)
- Electron mobility, \( \mu_e = 0.12 \, m^2/V \cdot s \)
- Hole mobility, \( \mu_h = 0.045 \, m^2/V \cdot s \)
- Number of phosphorus atoms added, \( N_d = 10^{19} \, atoms/m^3 \)
- Charge of an electron, \( e = 1.6 \times 10^{-19} \, C \)
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