In а p-type silicоn sаmple the minоrity-cаrrier (electrоn) mobility is μ_e = 1000 cm²V⁻¹s⁻¹ and the minority-carrier lifetime is τ = 2.0 μs. Take kT/e = 0.0259 V at 300 K. (a) Use the Einstein relation to find the electron diffusion coefficient D_e in cm²/s. (b) Compute the diffusion length L = √(D_eτ) and express it in μm. (c) A solar cell built from this material is 50 μm thick. State in one sentence whether carriers generated near the back surface are likely to be collected, and why. Show your work.