A series of polarizers are each placed at a 19 degree interval from the previous
ID: 2123579 • Letter: A
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A series of polarizers are each placed at a 19 degree interval from the previous polarizer. Unpolarized light is incident on this series of polarizers>style="display: inline-block; position: static; border-width: 0px; border-left-style: solid; padding: 0px; margin: 0px; vertical-align: -1px; overflow: hidden; width: 0px; height: 13.4px;">style="display: inline-block; position: static; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; width: 0px; height: 17px;">style="display: inline-block; position: static; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; width: 0px; height: 31px;">class="mo" id="mathjax-span-7">style="position: absolute; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; top: -37.1px; left: 0px;">style="display: inline-block; position: static; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; width: 0px; height: 67px;">class="mi" id="mathjax-span-6">style="position: absolute; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; clip: rect(64px 16770px 70px -9px); top: -67px; left: 0px;">style="display: inline-block; position: relative; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; width: 7.3px; height: 0px;">class="msubsup" id="mathjax-span-5">class="mrow" id="mathjax-span-4">class="texatom" id="mathjax-span-3">class="mrow" id="mathjax-span-2">style="position: absolute; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; clip: rect(2.6px 16770px 20px -9px); top: -17px; left: 0px;">style="display: inline-block; position: relative; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; width: 8px; height: 0px; font-size: 16.363636016845703px;">style="border: 0px; padding: 0px; margin: 0px; max-width: none; max-height: none; vertical-align: 0px;">class="mathjax" id="mathjax-element-1-frame" role="textbox" aria-readonly="true">class="mathjax_preview">class="type-specific" type="tex">class="replace-insert done" inserttype="units" id="yui_3_3_0_23_137582056522428">style="color: rgb(51, 51, 51); font-family: arial, helvetica, clean, sans-serif; font-size: 12.727272033691406px; line-height: 14.545454025268555px; background-color: rgb(244, 249, 255);">
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How many polarizers does the light have to go through before it is 1/5 of its original intensity?>style="display: inline-block; position: static; border-width: 0px; border-left-style: solid; padding: 0px; margin: 0px; vertical-align: -7.8px; overflow: hidden; width: 0px; height: 23.8px;">style="display: inline-block; position: static; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; width: 0px; height: 37px;">style="display: inline-block; position: static; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; width: 0px; height: 18px;">style="display: inline-block; position: static; border-width: 0px 0px 0px 8px; border-left-style: solid; padding: 0px; margin: 0px; vertical-align: 0px; overflow: hidden; width: 0px; height: 1.25px;">style="position: absolute; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; clip: rect(13.8px 16770px 21px -9px); top: -21.7px; left: 0px;">style="display: inline-block; position: static; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; width: 0px; height: 31px;">class="mn" id="mathjax-span-18">style="position: absolute; border: 0px; padding: 0px; margin: 0px 0px 0px -3px; vertical-align: 0px; clip: rect(20.1px 16770px 34.3px -8.4px); top: -24.4px; left: 3.9914772510528564px;">style="display: inline-block; position: static; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; width: 0px; height: 31px;">class="mn" id="mathjax-span-17">style="position: absolute; border: 0px; padding: 0px; margin: 0px 0px 0px -3px; vertical-align: 0px; clip: rect(20.1px 16770px 34px -8px); top: -38.1px; left: 3.9914772510528564px;">style="display: inline-block; position: relative; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; width: 8px; height: 0px;">class="mfrac" id="mathjax-span-16">class="mrow" id="mathjax-span-15">class="texatom" id="mathjax-span-14">class="mrow" id="mathjax-span-13">class="mstyle" id="mathjax-span-12">class="mrow" id="mathjax-span-11">class="texatom" id="mathjax-span-10">class="mrow" id="mathjax-span-9">style="position: absolute; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; clip: rect(19px 16770px 46.8px -7px); top: -37px; left: 0px;">style="display: inline-block; position: relative; border: 0px; padding: 0px; margin: 0px; vertical-align: 0px; width: 12px; height: 0px; font-size: 16.363636016845703px;">class="math" id="mathjax-span-8">style="border: 0px; padding: 0px; margin: 0px; max-width: none; max-height: none; vertical-align: 0px;">class="mathjax" id="mathjax-element-2-frame" role="textbox" aria-readonly="true">class="mathjax_preview">class="type-specific" type="tex">class="replace-insert done" inserttype="texml" id="yui_3_3_0_23_137582056522439">style="color: rgb(51, 51, 51); font-family: arial, helvetica, clean, sans-serif; font-size: 12.727272033691406px; line-height: 14.545454025268555px;">
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Explanation / Answer
first polarizer causes a drop of 1/2
later ones give cos(19)^2
so
1/5 = 1/2*cos(19)^(2x)
solve for x
x=8.18
so total is 9.18
so 10 needed
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