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Can I get the answers for this computational physics, Bisection method problem? Book suggestions: ? Computational Physics by Mark Newman (guide to Python in computational
Can I get the answers for this computational physics, Bisection method problem?
Book suggestions:
? "Computational Physics" by Mark Newman (guide to Python in computational physics)
? "Numerical Recipes" by W. H. Press et al. (covers very comprehensibly a vast range of numerical topics; 3rd edition is in C++; older editions, e.g. in C, are freely available online)
? "Clean Code" by Robert C. Martin (great book on good programming practices)
Planck's radiation law tells us that the intensity of radiation per unit area and per unit wavelength A from a black body at temperature 7 is 2The2X 5 I (A) = ehc /AkBT _ where h is Planck's constant, c is the speed of light, and kg is Boltzmann's constant. a) Show by setting the derivative of I(A) to zero that the wavelength A at which the emitted radiation is strongest is the solution of the equation 5ehc/AkBT 5 = 0. AKBT b) Make the substitution I = hc/AkgT' and hence show that the wavelength of maximum radiation obeys the Wien displacement law: 10 T where the so-called Wien displacement constant is b = he/kga, and a is the solution to the nonlinear equation 5e ? +x -5 =0. c) Plot the left hand side of this equation. You will see that there are two roots, but only one of them is physical. Which one and why? d) Write a program to solve this equation to an accuracy of e = 10-6 using the bisection method, and hence find a value for the displacement constant. You can either use a library or implement bisection directly. e) The displacement law is the basis for the method of optical pyrometry, a method for measuring the temperatures of objects by observing the color of the thermal radiation they emit. The method is commonly used to estimate the surface temperatures of astro- nomical bodies, such as the Sun. The wavelength peak in the Sun's emitted radiation falls at A = 502 nm. From the equations above and your value of the displacement constant, estimate the surface temperature of the SunStep by Step Solution
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