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The electric current in an X- ray tube (from the target to the filament) operating at 40 kV is 10 mA. Assume that on an average, 1% of the total kinetic energy of the electrons hitting the target are converted into X−rays. The total power (in W) emitted as X-rays is (Integer only) |
Answer» The electric current in an <span id="MathJax-Element-1-Frame" class="mjx-chtml"><span id="MJXc-Node-68083" class="mjx-math"><span id="MJXc-Node-68084" class="mjx-mrow"><span id="MJXc-Node-68085" class="mjx-mtext"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.372em; padding-bottom: 0.372em;">X</span></span></span></span></span>- ray tube (from the target to the filament) operating at <span id="MathJax-Element-2-Frame" class="mjx-chtml"><span id="MJXc-Node-68086" class="mjx-math"><span id="MJXc-Node-68087" class="mjx-mrow"><span id="MJXc-Node-68088" class="mjx-mn"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.372em; padding-bottom: 0.372em;">40</span></span><span id="MJXc-Node-68089" class="mjx-mtext"><span class="mjx-char MJXc-TeX-main-R" style="margin-top: -0.291em; padding-bottom: 0.372em;"> </span></span><span id="MJXc-Node-68090" class="mjx-mtext"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.372em; padding-bottom: 0.372em;">kV</span></span></span></span></span> is <span id="MathJax-Element-3-Frame" class="mjx-chtml"><span id="MJXc-Node-68091" class="mjx-math"><span id="MJXc-Node-68092" class="mjx-mrow"><span id="MJXc-Node-68093" class="mjx-mn"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.372em; padding-bottom: 0.372em;">10</span></span><span id="MJXc-Node-68094" class="mjx-mtext"><span class="mjx-char MJXc-TeX-main-R" style="margin-top: -0.291em; padding-bottom: 0.372em;"> </span></span><span id="MJXc-Node-68095" class="mjx-mtext"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.446em; padding-bottom: 0.372em;">mA</span></span></span></span></span>. Assume that on an average, <span id="MathJax-Element-4-Frame" class="mjx-chtml"><span id="MJXc-Node-68096" class="mjx-math"><span id="MJXc-Node-68097" class="mjx-mrow"><span id="MJXc-Node-68098" class="mjx-mn"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.372em; padding-bottom: 0.372em;">1</span></span><span id="MJXc-Node-68099" class="mjx-mi"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.446em; padding-bottom: 0.372em;">%</span></span></span></span></span> of the total kinetic energy of the electrons hitting the target are converted into <span id="MathJax-Element-5-Frame" class="mjx-chtml"><span id="MJXc-Node-68100" class="mjx-math"><span id="MJXc-Node-68101" class="mjx-mrow"><span id="MJXc-Node-68102" class="mjx-mi"><span class="mjx-char MJXc-TeX-math-I" style="padding-top: 0.446em; padding-bottom: 0.298em; padding-right: 0.024em;">X</span></span><span id="MJXc-Node-68103" class="mjx-mo MJXc-space2"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.298em; padding-bottom: 0.446em;">−</span></span><span id="MJXc-Node-68104" class="mjx-mtext MJXc-space2"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.151em; padding-bottom: 0.519em;">rays</span></span></span></span></span>. The total power <span id="MathJax-Element-6-Frame" class="mjx-chtml"><span id="MJXc-Node-68105" class="mjx-math"><span id="MJXc-Node-68106" class="mjx-mrow"><span id="MJXc-Node-68107" class="mjx-mo"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.446em; padding-bottom: 0.593em;">(</span></span><span id="MJXc-Node-68108" class="mjx-mtext"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.372em; padding-bottom: 0.372em;">in W</span></span><span id="MJXc-Node-68109" class="mjx-mo"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.446em; padding-bottom: 0.593em;">)</span></span></span></span></span> emitted as <span id="MathJax-Element-7-Frame" class="mjx-chtml"><span id="MJXc-Node-68110" class="mjx-math"><span id="MJXc-Node-68111" class="mjx-mrow"><span id="MJXc-Node-68112" class="mjx-mtext"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.372em; padding-bottom: 0.372em;">X</span></span></span></span></span>-rays is <tnl-filler id="9448" answer_ids="2360578" type="text" size="20" contenteditable="false"></tnl-filler>(Integer only)<br><br> <br> | |