Question

# Light from a point source in the air falls on a spherical glass surface (μ=1.5 and radius of curvature 20cm). The distance of the light source from the glass surface is 100cm. The position where the image is formed is :

A
50cm
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B
100cm
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C
125cm
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D
25cm
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Solution

## The correct option is B 100cmGiven: Light from a point source in the air falls on a spherical glass surface (μ=1.5 and radius of curvature 20 cm). The distance of the light source from the glass surface is 100 cm. To find the position where the image is formedSolution:As per the given criteria,Refractive index of air, μ1=1Refractive index of glass, μ2=1.5Radius of curvature, R=20cmObject distance, u=−100cmSubstituting the above values in the following formula, we get:μ2v−μ1u=μ2−μ1R⟹1.5v−1(−100)=1.5−120⟹1.5v=0.520−1100⟹1.5v=2.5−1100⟹v=1.5×1001.5⟹v=100 cmHence the image is formed at 100cm in the denser medium.

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