Syllabus for PHYS 1011 Naveen Jha

<p>Small distances are commonly measured capacitively.Consider an air-filled parallel-plate capacitor with fixed platearea and a variable plate-separation distance . Assume thiscapacitor is attached to a capacitance-measuring instrument whichcan measure capacitance in the range 3.0 to 3000.0 with an accuracyof 0.6 . <br />Define to be the accuracy (magnitude) to whichcan be determined, and determine a formula for &#916;x.<br/>Express your answer in terms of the variables , x,&#916;c,A and appropriate constants.</p>
<p>Determine the percent accuracy to which <imgsrc="http://session.masteringphysics.com/render?tex=x_%7B%7B%5Crm%7Bmin%7D%7D%7D"alt="x_{{\rm{min}}}" align="middle" /> and <imgsrc="http://session.masteringphysics.com/render?tex=x_%7B%7B%5Crm%7Bmax%7D%7D%7D"alt="x_{{\rm{max}}}" align="middle" /> can bemeasured.</p>
<div class="partInstructions">Express your answers using onesignificant figure. Enter your answers numerically separated by acomma.</div>
<div class="partInstructions">&#160;<imgsrc="http://session.masteringphysics.com/render?tex=%5Cfrac%7B%5CDelta+x_%7B%5Cmin%7D%7D%7Bx_%7B%5Cmin%7D%7D"alt="\frac{\Delta x_{\min}}{x_{\min}}" align="middle" />,<imgsrc="http://session.masteringphysics.com/render?tex=%5Cfrac%7B%5CDelta+x_%7B%5Cmax%7D%7D%7Bx_%7B%5Cmax%7D%7D"alt="\frac{\Delta x_{\max}}{x_{\max}}" align="middle"/>&#160;&#160;=</div>

The cylinder in the figure has a moveable piston attached to aspring. The cylinder's cross-section area is 10 cm^2, it contains0.0056 mol of gas, and the spring constant is 1500 N/m. At 19degrees C, the spring is neither compressed nor stretched. To seethe image, copy and paste website below.

http://session.masteringphysics.com/problemAsset/1070947/5/16.CP72.jpg

Part A
How far is the spring compressed if the gas temperature is raisedto 100 degrees C? Express answer in cm.