Question

A convex lens made of crown glass has radii of curvature 5 and 10 cm resp find the longitudinal chromatic aberration of lens if Nv is equal to 1.523 and Nr is equal to 1.515​

Answer 1

Answer:

the longitudinal chromatic aberration of lens is 0.10 cm

Explanation:

As we know by lens makers formula focal length of the lens is given as

$\frac{1}{f} = (\mu - 1)(\frac{1}{R_1} - \frac{1}{R_2})$

so here we have for red color light

$\frac{1}{f} = (1.515 - 1)(\frac{1}{5} + \frac{1}{10})$

$f_r = 6.47 cm$

Now for violet color light we have

$\frac{1}{f_v} = (1.523 - 1)(\frac{1}{5} + \frac{1}{10})$

$f_v = 6.37 cm$

now the chromatic aberration due to lens is given as

$d = f_r - f_v$

$d = 6.47 - 6.37$

$d = 0.10 cm$

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Topic : Lens makers formula

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