
<#21#>Physics 224<#21#>   <#23#>Fall 2001<#23#>
		<#24#>Discoveries and Inventions of Modern Physics<#24#> 		<#25#>due 11:00 am Tuesday Oct. 9<#25#>

PROBLEM SET 2

<#30#>Oct. 4 Colloquium<#30#>: ``Peering into the Potential Well: Observations of White Dwarfs, Neutron Stars, and Black Holes''
Professor Virginia Trimble, UCI
3:30 pm, 101 Rowland Hall

<#137#>1.<#137#>

(from Prob. Set 1) Consider a nonrelativistic free particle in a cubic container of edge length L and volume V=L³. Assume V=0 outside the box.

<#130#>(a)<#130#>: Each quantum state s of this particle has a corresponding kinetic energy #math1##tex2html_wrap_inline55# which depends on V. What is #math2##tex2html_wrap_inline59#?
<#131#>(b)<#131#>: Find the contribution to the gas pressure #math3##tex2html_wrap_inline61# of a particle in this state in terms of #math4##tex2html_wrap_inline63# and V.
<#132#>(c)<#132#>: Use this result to show that the mean pressure ;SPMlt;p;SPMgt; of any ideal gas of particles is always related to its mean total kinetic energy ;SPMlt;E;SPMgt;by #math5##tex2html_wrap_inline71#.

<#138#>2.<#138#>

Eisberg and Resnick: 1.16

<#139#>3.<#139#>

Eisberg and Resnick: 11.3 (Note that in terms of the notation used in class #math6##tex2html_wrap_inline73#.)

<#140#>4.<#140#>

Eisberg and Resnick: 11.5 (Note that in terms of the notation used in class #math7##tex2html_wrap_inline75#.)

<#141#>5.<#141#>

Plot the blackbody distribution spectrum #math8##tex2html_wrap_inline77#versus #math9##tex2html_wrap_inline79# at T=3 K.

<#142#>6.<#142#>

Eisberg and Resnick: 1.19 (Hint: Use the result of the previous problem and the result stated in problem 1.18.)

<#143#>7.<#143#>

Eisberg and Resnick: 1.12