In a particular semiconductor material, $$n$=1000$ cm$2/$V$-$s$,$p$=600$ cm$2/$V$-$s$,$ and NC$=$NV$=1019$

cm$-3.$ The measured conductivity of the intrinsic material is $=10-6(-$cm$)-1$ at T $=300$ K$.$ Assume

that these parameters $($and bandgap energy$)$ are independent of temperature.

a$)$ Find the resistivity at T$=300$ K$.$

b$)$ Find the bandgap energy T$=300$ K$.$

c$)$ Find the conductivity at T$=500$ K$.$

d$)$ Find the resistivity at T$=500$ K$.$