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zorro
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Homework Statement
The radius of curvature of spherical surface is 10 cm. The spherical surface separates two media of refractive indices 1.1 and 1.3 as shown in Figure. The medium of refractive index 1.3 extends upto 78 cm from the spherical surface. A luminous point object O is at the distance of 144 cm from the spherical surface in the medium of refractive index 1.1. The image formed by the spherical surface is at
1)900 cm from O
2)900 cm from A in medium μ3
3)900/7 cm from O
4)900/7 cm from A in medium μ3
The Attempt at a Solution
The first two mediums act as glass slabs of thickness 66cm and 78cm resp.
Shift produced due to them = 24cm
New distance of the object from the spherical surface = 144-24=120cm
Using the formula of refraction at a spherical surface,
1.5/v + 1/120 = 0.5/10 (I kept μ as 1, may be I am wrong here)
I got v=36cm from O which is not in the options.