PHL105Y5 Lecture : Immanuel Kant

<p>Point&#160;<em>A</em>&#160;is at a potential of&#160;<span style="color: red;">+</span><span style="color: red;">270</span>&#160;V, and point&#160;<em>B</em>&#160;is at a potential of&#160;<span style="color: red;">-160</span>&#160;V. An&#160;<span><em>&#945;</em></span>-particle is a helium nucleus that contains two protons and two neutrons; the neutrons are electrically neutral. An&#160;<span><em>&#945;</em></span>-particle starts from rest at&#160;<em>A</em>&#160;and accelerates toward&#160;<em>B</em>. When the&#160;<span><em>&#945;</em></span>-particle arrives at&#160;<em>B</em>, what kinetic energy (in electron volts) does it have?</p>

<p>From: Modern Physics for Scientists and Engineers (2nd)step-by-step solutions: Chapter 11 by John R. Taylor et. all<br/><br />Chapter 11 Problem 24: I am so stuck, could youhelp me!<br /><br />24.) The outermost valence electronof sodium is in the 3s state when the atom is in its ground state.The valence electron can be excited to higher levels, the first fewof which are shown on Figure 11.22 (If you have the book...). Giventhe selection rule that only those transitions for which &#916;l =&#177;1 are allowed, indicate on this energy-level diagramall allowed transitions among the levels shown</p>
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<p>__5s__</p>
<p>&#160;&#160;&#160;&#160;&#160;&#160;__4p___</p>
<p>&#160;&#160;&#160;&#160;&#160;&#160;&#160;&#160;&#160;&#160;&#160;&#160;&#160;&#160;&#160;__3d__</p>
<p>__4s___</p>
<p>&#160;&#160;&#160;&#160;&#160;&#160;&#160;&#160;&#160;___3p___</p>
<p>&#160;</p>
<p>&#160;</p>
<p>__3s___</p>

A rigid body is rotating freely about a fixed point in the absenceof torques. Use Euler&#8217;s equations:<br />
<ahref="http://en.wikipedia.org/wiki/Euler%27s_equations_%28rigid_body_dynamics%29">Eqnson wiki (first three)</a>


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<div>&nbsp;&nbsp; &nbsp;&nbsp;I₁&#969;</div>
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<div>with no external torque, to show that both therotational kinetic</div>
energy and the magnitude of the angular momentum vector, areconstant.