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InterviewSolution
| 1. |
Find the focal length of a mirrorwhose radius of curvature is 32 cm |
| Answer» <html><body><p><img align="absmiddle" alt="\rule{200}{4}\rule{200}4" class="latex-formula" id="TexFormula1" src="https://tex.z-dn.net/?f=%5Crule%7B200%7D%7B4%7D%5Crule%7B200%7D4" title="\rule{200}{4}\rule{200}4"/></p><p><img align="absmiddle" alt="\mathfrak \orange{Given} \begin{cases}\green{\rm <klux>RADIUS</klux>\;of\;<klux>CURVATURE</klux>=32 cm}\\\\\rm\purple{Type\;of\;mirror=Convex\;mirror}\end{cases}" class="latex-formula" id="TexFormula2" src="https://tex.z-dn.net/?f=%20%5Cmathfrak%20%5Corange%7BGiven%7D%20%5Cbegin%7Bcases%7D%5Cgreen%7B%5Crm%20Radius%5C%3Bof%5C%3Bcurvature%3D32%20cm%7D%5C%5C%5C%5C%5Crm%5Cpurple%7BType%5C%3Bof%5C%3Bmirror%3DConvex%5C%3Bmirror%7D%5Cend%7Bcases%7D" title="\mathfrak \orange{Given} \begin{cases}\green{\rm Radius\;of\;curvature=32 cm}\\\\\rm\purple{Type\;of\;mirror=Convex\;mirror}\end{cases}"/></p><p><img align="absmiddle" alt="\rule{200}{4}\rule{200}4" class="latex-formula" id="TexFormula3" src="https://tex.z-dn.net/?f=%5Crule%7B200%7D%7B4%7D%5Crule%7B200%7D4" title="\rule{200}{4}\rule{200}4"/></p><p><img align="absmiddle" alt="\mathfrak\red{To\ find:}\begin{cases}\\\rm\pink{<klux>FOCAL</klux>\; length=?}\\\\\end{cases}" class="latex-formula" id="TexFormula4" src="https://tex.z-dn.net/?f=%5Cmathfrak%5Cred%7BTo%5C%20find%3A%7D%5Cbegin%7Bcases%7D%5C%5C%5Crm%5Cpink%7BFocal%5C%3B%20length%3D%3F%7D%5C%5C%5C%5C%5Cend%7Bcases%7D" title="\mathfrak\red{To\ find:}\begin{cases}\\\rm\pink{Focal\; length=?}\\\\\end{cases}"/></p><p><img align="absmiddle" alt="\rule{200}{4}\rule{200}4" class="latex-formula" id="TexFormula5" src="https://tex.z-dn.net/?f=%5Crule%7B200%7D%7B4%7D%5Crule%7B200%7D4" title="\rule{200}{4}\rule{200}4"/></p><p><img align="absmiddle" alt="\small \sf We \; know\;that\\\\\dagger\boxed{\bf \blue{F=\dfrac{R}{2}}}" class="latex-formula" id="TexFormula6" src="https://tex.z-dn.net/?f=%20%5Csmall%20%5Csf%20We%20%5C%3B%20know%5C%3Bthat%5C%5C%5C%5C%5Cdagger%5Cboxed%7B%5Cbf%20%5Cblue%7BF%3D%5Cdfrac%7BR%7D%7B2%7D%7D%7D" title="\small \sf We \; know\;that\\\\\dagger\boxed{\bf \blue{F=\dfrac{R}{2}}}"/></p><p>Where</p><ul><li>F : focal length</li><li>R : radius of curvature</li></ul><p></p><p></p><p></p><p><img align="absmiddle" alt="\sf\longrightarrow F = \dfrac{\cancel{32}}{\cancel2} \\\\\large\bigstar \underline{\underline{\boxed{\bf \red{F} \pink{=}\green{16}}}}" class="latex-formula" id="TexFormula7" src="https://tex.z-dn.net/?f=%20%5Csf%5Clongrightarrow%20F%20%3D%20%5Cdfrac%7B%5Ccancel%7B32%7D%7D%7B%5Ccancel2%7D%20%5C%5C%5C%5C%5Clarge%5Cbigstar%20%5Cunderline%7B%5Cunderline%7B%5Cboxed%7B%5Cbf%20%5Cred%7BF%7D%20%5Cpink%7B%3D%7D%5Cgreen%7B16%7D%7D%7D%7D" title="\sf\longrightarrow F = \dfrac{\cancel{32}}{\cancel2} \\\\\large\bigstar \underline{\underline{\boxed{\bf \red{F} \pink{=}\green{16}}}}"/></p><p></p><p><img align="absmiddle" alt="\rule{200}{4}\rule{200}4" class="latex-formula" id="TexFormula8" src="https://tex.z-dn.net/?f=%5Crule%7B200%7D%7B4%7D%5Crule%7B200%7D4" title="\rule{200}{4}\rule{200}4"/></p><p></p><p><img align="absmiddle" alt="\mathfrak{\pink{More \;info:}}\begin{cases}\rm\green{\dfrac{1}{f}=\dfrac{1}{v}-\dfrac{1}{u}}\\\\\rm \purple{m=\dfrac{-v}{u}}\\\\\rm\red{F=\dfrac{R}{2}}\end{cases}" class="latex-formula" id="TexFormula9" src="https://tex.z-dn.net/?f=%5Cmathfrak%7B%5Cpink%7BMore%20%5C%3Binfo%3A%7D%7D%5Cbegin%7Bcases%7D%5Crm%5Cgreen%7B%5Cdfrac%7B1%7D%7Bf%7D%3D%5Cdfrac%7B1%7D%7Bv%7D-%5Cdfrac%7B1%7D%7Bu%7D%7D%5C%5C%5C%5C%5Crm%20%5Cpurple%7Bm%3D%5Cdfrac%7B-v%7D%7Bu%7D%7D%5C%5C%5C%5C%5Crm%5Cred%7BF%3D%5Cdfrac%7BR%7D%7B2%7D%7D%5Cend%7Bcases%7D" title="\mathfrak{\pink{More \;info:}}\begin{cases}\rm\green{\dfrac{1}{f}=\dfrac{1}{v}-\dfrac{1}{u}}\\\\\rm \purple{m=\dfrac{-v}{u}}\\\\\rm\red{F=\dfrac{R}{2}}\end{cases}"/></p><p></p><p><img align="absmiddle" alt="\rule{200}{4}\rule{200}4" class="latex-formula" id="TexFormula10" src="https://tex.z-dn.net/?f=%5Crule%7B200%7D%7B4%7D%5Crule%7B200%7D4" title="\rule{200}{4}\rule{200}4"/></p><p></p></body></html> | |