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Focal length of convex lens in air is 16 cm (μglass = 1.5). Now the lens is submerged in liquid of refractive index 1.42. Find the ratio of focal length in medium to focal length in air has closest value
- a)9
- b)17
- c)1
- d)5
Correct answer is option 'A'. Can you explain this answer?
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Focal length of convex lens in air is 16 cm (μglass = 1.5). Now the...
F = 16 cm). If the lens is immersed in a liquid of refractive index 1.5, what will be its new focal length?
The formula to calculate the new focal length of a lens immersed in a liquid is:
1/f' = (n_l / n_o) * (1/f - 1/d)
where f' is the new focal length, n_l is the refractive index of the liquid, n_o is the refractive index of the lens (which is assumed to be 1.5 in air), f is the original focal length in air, and d is the thickness of the lens.
Since the lens is not thick, we can assume that d is negligible compared to the focal length. Therefore, we can simplify the formula to:
1/f' = (n_l / n_o) * (1/f)
Substituting the given values, we get:
1/f' = (1.5 / 1.5) * (1/16)
1/f' = 1/24
f' = 24 cm
Therefore, the new focal length of the convex lens when immersed in a liquid of refractive index 1.5 is 24 cm.
The formula to calculate the new focal length of a lens immersed in a liquid is:
1/f' = (n_l / n_o) * (1/f - 1/d)
where f' is the new focal length, n_l is the refractive index of the liquid, n_o is the refractive index of the lens (which is assumed to be 1.5 in air), f is the original focal length in air, and d is the thickness of the lens.
Since the lens is not thick, we can assume that d is negligible compared to the focal length. Therefore, we can simplify the formula to:
1/f' = (n_l / n_o) * (1/f)
Substituting the given values, we get:
1/f' = (1.5 / 1.5) * (1/16)
1/f' = 1/24
f' = 24 cm
Therefore, the new focal length of the convex lens when immersed in a liquid of refractive index 1.5 is 24 cm.
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Focal length of convex lens in air is 16 cm (μglass = 1.5). Now the...
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Focal length of convex lens in air is 16 cm (μglass = 1.5). Now the lens is submerged in liquid of refractive index 1.42. Find the ratio of focal length in medium to focal length in air has closest valuea)9b)17c)1d)5Correct answer is option 'A'. Can you explain this answer?
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