sampleexam2 - Physics 604 Midterm#2 Fall 10 Dr Drake 1(40...

Info icon This preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
Physics 604 Midterm #2 Fall ‘10 Dr. Drake 1. (40 pts) The modified spherical Bessel equation is given by z 2 y 00 + 2 zy 0 - [ z 2 + n ( n + 1)] y = 0 (a) Find the lowest order behavior of the solutions as z 0. Show that the solutions are linearly independent. Identify values of n for which they are not linearly independent and also calculate the solutions for this special value of n . (b) Calculate the behavior of the solutions for z large. Hint: To put the equation in standard form take y = f/z p and solve for p. 2. (60 pts) The temperature in a one-dimensional medium satisfies a diffusion equation: ∂T ∂t - D 2 ∂x 2 T = 0 At t = 0, the temperature in the medium is given by T (0 , x ) = ( 0 x > 0 1 x < 0 (a) Solve for the space/time dependence of T ( x, t ) by FIRST completing a
Image of page 1
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern