PHYS_342_hmwrk4 - PHYS342 FallSemester2011...

Info iconThis preview shows pages 1–5. Sign up to view the full content.

View Full Document Right Arrow Icon
1 PHYS 342 Fall Semester 2011 Solutions: Homework No. 4 Due: October 14, 2011 1. In an experiment, the speed of an electron is measured to be 6.0x10 5 m/s. Since all measurements have an uncertainty associated with them, in this case say the electron speed is only measured to an accuracy of 1.0x10 4 m/s. This implies that the uncertainty in the speed of the electron is therefore 2x10 4 m/s. According to quantum mechanics, what is the size of the smallest region in space in which the electron could be found?
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
2 2. Consider the wave form shown below Assume the wave can be represented by the formula By inspection, what are your best guesses for B, C, 1 and 2 ? Assume 2 > 1 . 12 22 sin sin x x AB C      3 2 1 0 1 2 3 0.00 0.01 0.02 0.03 0.04 0.05 0.06 Amplitude,A x (in m)
Background image of page 2
3 3. a) Write down the solution to the angular Schrödinger’s Equation for the m=+1, =1 quantum state of atomic hydrogen. b) Verify that the spherical harmonic Y 11 ( ϑ , φ ) you wrote in a) satisfies the angular Schrödinger’s Equation
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
4 4. The radial Schrödinger’s Equation for atomic hydrogen is a) Write an equation for the effective potential energy that appears in this equation. This effective potential energy will include the electrostatic interaction energy and any energy associated with rotational motion. b) Graph the function written in a) for three cases: =0, =1, and =2. Before plotting, convert all energies to eV. Limit the plot of the effective potential to energies
Background image of page 4
Image of page 5
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 12/08/2011 for the course PHYS 342 taught by Professor Staff during the Fall '08 term at Purdue University.

Page1 / 10

PHYS_342_hmwrk4 - PHYS342 FallSemester2011...

This preview shows document pages 1 - 5. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online