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Physics · 2022 · 3 marks
Ray Optics and Optical InstrumentsRefraction at Spherical Surfaces and by Lenses3 marksApplyshort answer
CBSE 2022 · Region 1 · Set 1 · Q5
A point source in air is kept 24 cm in front of a concave spherical glass surface (_a μ_g =1.5) and radius of curvature 60 cm. Find the nature of the…
A point source in air is kept $\displaystyle 24$ cm in front of a concave spherical glass surface $\displaystyle \left({ }_{\mathrm{a}} \mu_{\mathrm{g}}=1.5\right)$ and radius of curvature $\displaystyle 60$ cm. Find the nature of the image formed and its distance from the point source.
Marking-scheme solution
Relation for concave spherical surface
$$\frac{\mu_{1}}{-u}+\frac{\mu_{2}}{v}=\frac{\mu_{2}-\mu_{1}}{R}
$$
$\displaystyle \frac{1}{-u}+\frac{\mu}{\mathrm{v}}=\frac{\mu-1}{R}$
$$\frac{1}{-(-24)}+\frac{1 \cdot 5}{v}=\frac{1 \cdot 5-1}{-60}
$$
$\displaystyle \therefore \mathrm{v}=-30 \mathrm{~cm}$
Distance of image from point source $\displaystyle =-24-(-30)=6 \mathrm{~cm}$
Nature of image = Virtual image
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