You are been provided with a spherical lens of focal length'f1 = f2 = 15 cm'. You happen to completely submerge the lens in water. Which of the following observations will be true for the lens placed in water: (i) f1 < f2 (ii) f1 > f2 (iii) f1 = f2 (iv) f1 not equal to f2 (v) f2 = 15 cm (vi) f2 < 15 cm (vii) f2 > 15 cm (viii) f2 = 12 cm
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0
Answer:
Using lens makers formula and taking ratios,
f
f
m
=
(
μ
m
μ
−1)
(μ−1)
⇒
(
4/3
3/2
−1)
(
2
3
−1)
=4
⇒f
1
=4f
f
f
2
=
(
5/3
3/2
−1)
(
2
3
−1)
=−5
⇒f
2
<0
Answered by
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F1>F2 inside water
Explanation:
- When a lens is submerged in water, it affects a lot of its focal length.
- The reason for this is that the angle of refraction is determined by the relative difference between the entering medium's indices of refraction and the lens' medium's indices of refraction.
- The focal length formula is 1/f=(u-1)(1/R1-1/R2), where f is the focal length of the lens, is the ratio of the refractive indices of the lens material and the medium in which it is kept, and R1 and R2 are the radii of the lens' curves.
- The refractive index is used to compare the refraction of one media to another.
- If we assume that the lens is immersed in a liquid in the previous question.
- Assume the liquid's refractive index is the same as the lens' refractive index. The light will not change its passage through the lens and will continue in the same direction and path.
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