1.

Two glasses have dispersive powers in the ratio of 2 : 3 These glasses are used in the manufacture of an achromatic objective of focal length 0.2m. The focal lenghts of the two lenses of the objective are :

Answer»

6.67 cm, - 10 cm
7.5 cm, - 12.5 cm
9.67 cm, - 15 cm
12.5 cm, - 20 cm.

Solution :(a) We know that by CONDITION of a chromatism,
`(f)/(f.)=(-OMEGA)/(omega)rArr(1)/(f.)=(-omega)/(omega.)xx(1)/(f)`
Give `(omega)/(omega.) = (2)/(3)`
`therefore "" (1)/(F), = (-2)/(3F)`
`rArr "" (1)/(F) = (1)/(f) + (1)/(f.)`
Given F = 20 cm
`therefore "" f = 6.67cm and f. = - 10 cm.`


Discussion

No Comment Found

Related InterviewSolutions