1. Write three different python programs that perform the following tasks (a) In

Question

1. Write three different python programs that perform the following tasks (a) In the derivation of the specific heat of a metal, it was argued that the function kBT is peaked strongly at E = Ef. Write a program that plots this function vs. or -10 10. Use properly labelled axes and give the graph a title. Submit an electronic copy of your program as well as a hard copy of your program and the graph (E-E) (b) In the same derivation for the specific heat of a metal, the following integral was used 0o Write a program will calculate the integral numerically using the midpoint rule. The program will calculate the integral for various values of 4sN

Explanation / Answer

#given two questions we are just supposed to do one

import matplotlib.pyplot as plt

from math import exp as exp

x=range(-10,11,1)

y=list()

for i in x:

e=exp(i)

y.append((i*i)*(e/((e+1)*(e+1))))

plt.plot(x,y)

plt.ylabel('((E-Ef)/kb*T)^2(e^((E-Ef)/kb*T)/((e^((E-Ef)/kb*T+1)^2))') #you can change this part if you don't like y label

plt.xlabel('(E-Ef)/kb*T')

plt.show()

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