If the resistivity of pure silicon is $3000 \, \Omega m$ and the mobilities of electrons and holes are $0.12 \, m^{2}V^{- 1}s^{- 1}$ and $0.045 \, m^{2}V^{- 1}s^{- 1}$ respectively, then what will be the resistivity of a specimen of silicon when $10^{19}$ atoms of phosphorous are added per cubic metre?