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Science · 2025 · 3 marks
CBSE 2025 · Region 6 · Set 2 · Q29
An object of size 5 cm is placed at a distance of 30 cm from the optical centre of a converging lens of focal length 20 cm. Use lens formula to…
An object of size $\displaystyle 5$ cm is placed at a distance of $\displaystyle 30$ cm from the optical centre of a converging lens of focal length $\displaystyle 20$ cm. Use lens formula to determine the position and size of the image formed.
Marking-scheme solution
Position: \(\displaystyle \frac{1}{v}-\frac{1}{u}=\frac{1}{f}\)
\[\begin{gathered}
\frac{\mathbf{1}}{v}-\frac{\mathbf{1}}{-\mathbf{3 0}}=\frac{\mathbf{1}}{+\mathbf{2 0}} \\
\frac{1}{v}+\frac{1}{30}=\frac{1}{20}=v=+60 \mathrm{~cm}
\end{gathered}
\] position is $\displaystyle 60$ cm from the lens
Size:
\[\begin{aligned}
\mathrm{m}= & \frac{\boldsymbol{h} \boldsymbol{i}}{\boldsymbol{h} \boldsymbol{0}}=\frac{\boldsymbol{v}}{\boldsymbol{u}} \\
& =\frac{\mathbf{6 0}}{-3 \mathbf{0}}=-2
\end{aligned}
\] \(\displaystyle \mathrm{h}_{\mathrm{i}}=-2 \times 5 \mathrm{~cm}=-10 \mathrm{~cm}\) size of image is $\displaystyle 10$ cm(Enlarged)
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CBSE Class 10 Science past-paper question from the 2025 board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.