1.

Find the focal length of a mirrorwhose radius of curvature is 32 cm​

Answer»

\rule{200}{4}\rule{200}4

\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}

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\mathfrak\red{To\ find:}\begin{cases}\\\rm\pink{<klux>FOCAL</klux>\; length=?}\\\\\end{cases}

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\small \sf We \; know\;that\\\\\dagger\boxed{\bf \blue{F=\dfrac{R}{2}}}

Where

  • F : focal length
  • R : radius of curvature

\sf\longrightarrow F = \dfrac{\cancel{32}}{\cancel2} \\\\\large\bigstar \underline{\underline{\boxed{\bf \red{F} \pink{=}\green{16}}}}

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\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}

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