The lens-makers' equation can be written as 1 1 7- (22²2-¹) (22-22) 1 f R₁ R₂ where n₂ represents the index of refraction of the lens material and n₁ is that of the medium surrounding the lens. (a) A certain lens has focal length 57.8 cm in the air and index of refraction 1.55. Find its focal length in water. (Give your answer in cm.) cm (b) A certain mirror has focal length 57.8 cm in the air. Find its focal length in water. (Give your answer in cm.) cm

Principles of Physics: A Calculus-Based Text
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ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter26: Image Formation By Mirrors And Lenses
Section: Chapter Questions
Problem 63P
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The lens-makers' equation can be written as
1
7- (22²-¹²/²-1/2)
(R₁₂
=
n₁
R₂
where n₂ represents the index of refraction of the lens material and n₁ is that of the medium surrounding the lens.
(a) A certain lens has focal length 57.8 cm in the air and index of refraction 1.55. Find its focal length in water. (Give your answer in cm.)
cm
(b) A certain mirror has focal length 57.8 cm in the air. Find its focal length in water. (Give your answer in cm.)
cm
Transcribed Image Text:The lens-makers' equation can be written as 1 7- (22²-¹²/²-1/2) (R₁₂ = n₁ R₂ where n₂ represents the index of refraction of the lens material and n₁ is that of the medium surrounding the lens. (a) A certain lens has focal length 57.8 cm in the air and index of refraction 1.55. Find its focal length in water. (Give your answer in cm.) cm (b) A certain mirror has focal length 57.8 cm in the air. Find its focal length in water. (Give your answer in cm.) cm
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