Question

▶Derive the equation of Refraction from spherical surface!​

Answer 1

Answer:

From rarer to denser

μ2>μ1

Small aperture to avoid Spherical aberration

∠1≈tan∠1=PMPO∠2≈tan∠2=PMPI∠3≈tan∠3=PMPC⋯(1)

∠i=∠1+∠3∠r=∠3−∠2⋯(2)

∠i∠r=PM[1PO+1PC]PM[1PC−1PI]⋯(3)

⇒sinisinr=μ2μ1≈∠i∠r⋯(4)

From (1), (2), (3) & (4) we get,

μ1−u+μ2v=(μ2−μ1)1R

Where PO=−u

PI=+V

PC=+R

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