Include the calculations. Question: A very thin copper fin has been added to the surface of the chip to increase the heat transfer on a $4$ mm wide silicon chip. The length and diameter of the fin are L $=12$ mm and D $=2$ mm$,$ respectively. Atmospheric air velocity passing over the fin is v $=10$ m$/$s and T $=300$ K$.$ The surface temperature of the chip and the base temperature of the fin are Tb $=350$ K$.$ a$.$ Assuming that the chip is not affected by the flow on the fin, calculate the average heat transfer coefficient on the fin surface.b$.$ Calculate the heat transfer rate in the fin by neglecting the radiation effect and assuming that the heat transfer coefficient at the fin tip is at the value calculated in $($a$).$c$.$ Calculate the total heat transfer rate on the chip T by neglecting the radiation effect and assuming that the heat transfer coefficient at the fin tip is atthe value calculated in $($a$).$