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Answer from photo no. 10

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\sf{\large{\underline{\underline{EXPLANATION:}}}}

\textbf{\underline{Given,,}}

  • Height of object,h=2.5mm=+0.25cm

  • Height of image,h'=10mm=-1cm

  • Distance of the object from the MIRROR,u=-5cm

  • Distance of image from the mirror,v=??

\textbf{\underline{Using,,}}

\sf{\boxed{\frac{h'}{h}=\frac{-v}{u}}}

\textbf{\underline{We get,,}}

\sf{\to{\large{\frac{1}{0.25}=\frac{-v}{-5}}}}

\sf{\to{\large{4=\frac{v}{5}}}}

\sf{\to{\large{v=20cm}}}

\textbf{\underline{Using,,}}

\sf{\boxed{\frac{1}{v}+\frac{1}{u}=\frac{1}{f}}}

\textbf{\underline{Substituting value of 'v' and 'u' in formula, we get,,}}

\sf{\to{\large{\frac{1}{20}+\frac{1}{-5}=\frac{1}{f}}}}

\sf{\to{\large{\frac{1}{20}-\frac{1}{5}=\frac{1}{f}}}}

\sf{\to{\large{\frac{1-4}{20}=\frac{1}{f}}}}

\sf{\to{\large{\frac{-3}{20}=\frac{1}{f}}}}

\sf{\to{\large{\frac{-20}{3}=f}}}

\sf{\to{\underline{\boxed{f=-6.67 cm}}}}

HENCE,,Focal length,f=-6.67 cm

\rule{200}2

HOPE it helps ❣️❣️



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