1.

Deviation of a ray incident on a converging lens Find the point at which the first ray crosses the principal axis after refraction (Fig. 34-39). Also find its deviation.

Answer»

Solution :We can see that the two refracted rays will meet at a POINT in the focal PLANE. Since the ray passing through the
Optical center will pass undeviated, we can say that this meeting occurs at an angle of `theta` and hence at a distance `ftheta` below the focus
Calculation : By the property of the similar triangles, we can say that
`(h)/(X)=(ftheta)/(f-x)=phi`.
Solving, we GET
`x=(hf)/(h+ftheta)` and `phi=(h+ftheta)/(f)`.

THEREFORE, the deviation is
`theta-phi=(h)/(f)`


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