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QJEEM24Ph81b7: JEE Main 2024 Physics - Class 12 JEEM24Ph81b7 Solution: The distance between object and its two times magnified real…

The distance between object and its two times magnified real image as produced by a convex lens is 45 cm45 \mathrm{~cm} . The focal length of the lens used is _______ cm.

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amp;vu=−2amp;v=−2u... (i)amp;v−u=45... (ii)amp;⇒u=−15 cmamp;v=30 cmamp;1f=1v−1uamp;f=+10 cm\begin{aligned}& \frac{v}{u}=-2 \\& v=-2 u \quad\text{... (i)} \\& v-u=45 \quad\text{... (ii)}\\& \Rightarrow u=-15 \mathrm{~cm} \\& v=30 \mathrm{~cm} \\& \frac{1}{f}=\frac{1}{v}-\frac{1}{u} \\& f=+10 \mathrm{~cm}\end{aligned}

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