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<Input><Text-field style="Title" layout="Title"><Font size="28" family="Calibri">Radio-Band and B-Band Luminosity and Brightness of Galaxy NGC 5236 </Font><Equation executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lMGZvbnRfc3R5bGVfbmFtZUdRKDJEfk1hdGhGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
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<Input><Text-field style="Text" layout="Normal"></Text-field>
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<Section collapsed="false" isCollapsible="true" drawButton="true" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title><Text-field style="Heading 1" layout="Heading 1">Problem</Text-field></Title><Presentation-Block>
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<Input><Text-field style="Text" layout="Normal">Compare the radio and B-band intensity with the radio and B-band luminosity of the galaxy NGC 5236. </Text-field>
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<Section collapsed="true" isCollapsible="true" drawButton="true" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title><Text-field style="Heading 2" layout="Heading 2">Hints</Text-field></Title><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L297" drawlabel="true">
<Input><Text-field style="Text" layout="Normal">For the radio band:</Text-field>
</Input>
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<Input><Text-field style="Text" layout="Normal"></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L288" drawlabel="true">
<Input><Text-field style="Text" layout="Normal">Use cgs units.</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L289" drawlabel="true">
<Input><Text-field style="Text" layout="Normal">Calculate the solid angle subtended by the galaxy.</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L291" drawlabel="true">
<Input><Text-field style="Text" layout="Normal">Calculate the solid angle of the beam.</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L292" drawlabel="true">
<Input><Text-field style="Text" layout="Normal">Convert the specific intensity, which is the flux density per solid angle, to ergs/s.</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L293" drawlabel="true">
<Input><Text-field style="Text" layout="Normal">Calculate the flux density.</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L294" drawlabel="true">
<Input><Text-field style="Text" layout="Normal">Calculate the flux (flux density times bandwidth).</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L295" drawlabel="true">
<Input><Text-field style="Text" layout="Normal">Calculate the luminosity.</Text-field>
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<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L298" drawlabel="true">
<Input><Text-field style="Text" layout="Normal"></Text-field>
</Input>
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<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L299" drawlabel="true">
<Input><Text-field style="Text" layout="Normal">For the B band:</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L300" drawlabel="true">
<Input><Text-field style="Text" layout="Normal"></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L302" drawlabel="true">
<Input><Text-field style="Text" layout="Normal">Convert the pixel size to steradians.</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L303" drawlabel="true">
<Input><Text-field style="Text" layout="Normal">Calculate <Font italic="true">f<Font subscript="true" encoding="UTF-8">\316\275</Font> </Font>from equation (10) in the text, using the reference flux from Table 2 (fc in the data list below):</Text-field>
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</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L301" drawlabel="true">
<Input><Text-field style="Text" layout="Normal">Divide <Font italic="true">f<Font subscript="true" encoding="UTF-8">\316\275</Font></Font> by the unit solid angle to obtain the specific intensity.</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L304" drawlabel="true">
<Input><Text-field style="Text" layout="Normal">Multiply specific intensity times the galaxy's solid angle to obtain the flux density of the galaxy.</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L311" drawlabel="true">
<Input><Text-field style="Text" layout="Normal"><Font encoding="UTF-8">Multiply flux density times \316\224\316\275 to obtain the total flux.</Font></Text-field>
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<Input><Text-field style="Text" layout="Normal">Make a table of intensity and luminosity for the radio band and the B band, and compare the two bands.</Text-field>
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<Input><Text-field style="Text" layout="Normal"></Text-field>
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<Section collapsed="false" isCollapsible="true" drawButton="true" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title><Text-field style="Heading 1" layout="Heading 1">Data</Text-field></Title><Presentation-Block>
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<Input><Text-field style="Text" layout="Normal">Distance in Megaparsecs</Text-field>
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<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="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">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</Equation></Text-field>
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<Input><Text-field style="Text" layout="Normal">Number of Centimetres in One Parsec</Text-field>
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<Input><Text-field style="Text" layout="Normal">Major Axis in Arcminutes</Text-field>
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<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="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">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</Equation></Text-field>
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<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUkjbW5HNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JFElMTEuMkYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJw==">JCIkNyIhIiI=</Equation></Text-field>
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<Input><Text-field style="Text" layout="Normal">Minor Axis in Arcminutes</Text-field>
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<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="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">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</Equation></Text-field>
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<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUkjbW5HNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JFElMTAuMkYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJw==">JCIkLSIhIiI=</Equation></Text-field>
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<Input><Text-field style="Text" layout="Normal">Centre of Radio Band in GHz</Text-field>
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<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUkjbW5HNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JFElMS40OUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJw==">JCIkXCIhIiM=</Equation></Text-field>
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<Input><Text-field style="Text" layout="Normal">Bandwith in MHz</Text-field>
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<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="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">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</Equation></Text-field>
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<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUkjbW5HNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JFEjNTBGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">IiNd</Equation></Text-field>
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<Input><Text-field style="Text" layout="Normal">Intensity in mJy per Beam</Text-field>
</Input>
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<Input><Text-field style="Text" layout="Normal">Full Width at Half-Maximum for B Filter in micrometres</Text-field>
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<Input><Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation></Text-field>
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<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
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<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Font style="Text">Calculate the solid angle subtended by the galaxy:</Font></Text-field>
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<Input><Text-field style="Text" layout="Normal"></Text-field>
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<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="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">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</Equation></Text-field>
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<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LyZJJk9tZWdhRzYiNiNJJGdhbEdGJSwkKiYkIitsPTIjZighIzoiIiItSSVVbml0RzYkL0krbW9kdWxlbmFtZUdGJUkmVW5pdHNHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHRiVGNTYjNiMuSSNzckdGJUYtRi0=</Equation></Text-field>
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<Input><Text-field style="Text" layout="Normal"></Text-field>
</Input>
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<Section collapsed="false" isCollapsible="true" drawButton="true" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title><Text-field style="Heading 2" layout="Heading 2">Radio Band</Text-field></Title><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L35" drawlabel="true">
<Input><Text-field style="Text" layout="Heading 3"></Text-field>
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<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L36" drawlabel="true">
<Input><Text-field style="Text" layout="Heading 3">Calculate the solid angle of the beam:</Text-field>
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<Input><Text-field style="Text" layout="Heading 3"></Text-field>
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<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L38" drawlabel="true">
<Input><Text-field style="Text" layout="Heading 3"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">JSFH</Equation></Text-field>
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<Input><Text-field style="Text" layout="Normal">Convert the specific intensity, which is the flux density per solid angle, to ergs/s.</Text-field>
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<Input><Text-field style="Text" layout="Heading 3">Converting one square arcsecond to steradians:</Text-field>
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<Input><Text-field style="Text" layout="Heading 3"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
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<Input><Text-field style="Text" layout="Heading 3">This is the flux density (<Font italic="true">f<Font subscript="true" encoding="UTF-8">\316\275</Font></Font>) within a square arcsecond. Dividing this by the unit solid angle gives the specific intensity:</Text-field>
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<Input><Text-field style="Text" layout="Heading 3"></Text-field>
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<Input><Text-field prompt="&gt; " style="Maple Input" layout="Heading 3"><Equation executable="true" style="2D Input" display="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">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEiSUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYnLUYvNiVRJyYjOTU3O0YnL0YzUSZmYWxzZUYnL0Y2USdub3JtYWxGJ0YyLyUrZm9yZWdyb3VuZEdRLFsyMDAsMCwyMDBdRicvJSxwbGFjZWhvbGRlckdGNEY1LyUvc3Vic2NyaXB0c2hpZnRHUSIwRictSSNtb0dGJDYtUSI9RidGPy8lJmZlbmNlR0Y+LyUqc2VwYXJhdG9yR0Y+LyUpc3RyZXRjaHlHRj4vJSpzeW1tZXRyaWNHRj4vJShsYXJnZW9wR0Y+LyUubW92YWJsZWxpbWl0c0dGPi8lJ2FjY2VudEdGPi8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRmduLUkmbWZyYWNHRiQ2KC1GIzYpLUkobWFjdGlvbkdGJDYlLUkqbXZlcmJhdGltR0YkNiNRLCQiKz0rby07ISNLRicvJSthY3Rpb250eXBlR1E6bWFwbGVzb2Z0LmNvbTpsYWJlbChMMTY3KUYnLyUldmlld0dRJmxhYmVsRictRi82I1EhRicvRkJRKlswLDAsMjU1XUYnLyUrZXhlY3V0YWJsZUdGPi8lKXJlYWRvbmx5R0Y0LyUwZm9udF9zdHlsZV9uYW1lR1EqMkR+T3V0cHV0RidGPy1GIzYnRlxwLUZgbzYlLUZjbzYjUWdxLCQqJiQiK2JJV11CISM/IiIiLUklVW5pdEc2JC9JK21vZHVsZW5hbWVHNiJJJlVuaXRzRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiJSpwcm90ZWN0ZWRHNiM2Iy5JI3NyRzYiIiIiIiIiRicvRmdvUTltYXBsZXNvZnQuY29tOmxhYmVsKEw4OClGJ0Zpb0ZccEYyRjUvJS5saW5ldGhpY2tuZXNzR1EiMUYnLyUrZGVub21hbGlnbkdRJ2NlbnRlckYnLyUpbnVtYWxpZ25HRmZxLyUpYmV2ZWxsZWRHRj5GYXBGPw==</Equation></Text-field>
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<Input><Text-field style="Text" layout="Normal">Multiply this times the galaxy's solid angle to obtain the flux density of the galaxy:</Text-field>
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<Input><Text-field style="Text" layout="Normal"></Text-field>
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<Input><Text-field style="Text" layout="Normal"></Text-field>
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<Input><Text-field style="Text" layout="Normal">ergs per square centimetre per second per hertz.</Text-field>
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<Input><Text-field style="Text" layout="Normal">From Table 2 in the text, <Font encoding="UTF-8" italic="true">\316\224\316\273</Font><Font encoding="UTF-8"> = 0.098 \316\274m, and <Font italic="true">\316\273</Font></Font><Font subscript="true" italic="true">eff</Font><Font encoding="UTF-8"> 0.438 \316\274m. Therefore,</Font></Text-field>
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<Input><Text-field style="Text" layout="Normal">Therefore, the flux (<Font italic="true">f = f<Font subscript="true" encoding="UTF-8">\316\275</Font><Font encoding="UTF-8"> * \316\224\316\275</Font></Font>) is:</Text-field>
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<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">JSFH</Equation></Text-field>
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