But a healthy given problem. The density off the states for the Fermi Energy and Off E F um from the given expression is given by four Divided by itch square times, M Cube Root three three by square. And, um, since the desire to medical answer, use this electron world's women by denominator in new monitor by C Square. And we obtain an expression for density of states for for me energy to be a four m c square divided by ich sie whole square times it see paltry by square. And, um, we can extract this and out So the expression would come, Let's say everything together, this all together, which I would like to dance she her times Ah, and one work third. So we opened anyone worth that? Um, we just need to find the values for, um for this value, we can find it by substituting the value for rest mass energy off electron, which is a four times 511 times gentle power. Three electron world. We can do this by looking the table from the book divided by Etc Square. Let's see we have is a 12 40 electron World Nana Meter on Do we take the square off? This times went applying a constant which is three, uh, by the square here, times off course and one or three. Then we attend the the density off the states for the Fermi Energy to be 4.11 Nanami True minus two minus electron world times Uh, one over three which is the equal into the given value in the problem photo. But me, since there are 10 to the power 27 Cuban enemy Georgina cubic meter. Um then the result for the given problem can return His hand isn't called eight point 49 times 10 to the power 28 Ah, poor a meter cube is 84.9 man a meter cube the cube root door for this end one over three, approximately equal to 4.4 for Nana meter. Hence the expression in about a leads us to and off He off f is equal to 4.11 nano meter are square Our daughter Electron world times four point For Nana Meter man and nature, this equals d'oh! This equals 2 18 men of major uh, Electron World Spur, which is a call to 1.8 times gentle power. 28 for a meter cube. But electron won't. Then if we multiply this by 10 to the power 10 to the power 27 meter cube, part Nano Meter Cube. We see this compare Ready? Well, with the they carved that we obtained that we have in a figure 41.6 generated 87 electron world.