Compare two diverging lenses similar except that lens b israted 20 diopters, whe

Question

Compare two diverging lenses similar except that lens b israted 20 diopters, where as lens a is rated 10 diopted. The focallength of lens B is? a. 1/4 focal length of lens A b. 1/2 of the focal length of lens a c. 2 times the focal length of lens a d. 4 times the focal length of a Compare two diverging lenses similar except that lens b israted 20 diopters, where as lens a is rated 10 diopted. The focallength of lens B is? a. 1/4 focal length of lens A b. 1/2 of the focal length of lens a c. 2 times the focal length of lens a d. 4 times the focal length of a

Explanation / Answer

Compare two diverging lenses similar except that lens b israted 20 diopters, where as lens a is rated 10 diopter .The focallength of lens B is? a. 1/4 focal length of lens A b. 1/2 of the focal length of lens a c. 2 times the focal length of lens a d. 4 times the focal length of a
power=1/f (in meters) diopter.
hence the focal length of diverging lens B having power 20D=-100/20=-5cm
similarly
the focal length of diverging lens A having power 10D=-100/10=-10cm
hence
The focal length of lens B is 1/2 of the focal length of lens A
so option B is correct.

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