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What happens to the focal length of a convex lens if it is immersed in water?
Increases
Decreases
Remains same
Becomes zero
Increases
When a convex lens is immersed in water, its focal length increases. This occurs because the refractive index of water is greater than that of air, which reduces the relative refractive index of the lens material with respect to the surrounding medium.
When a convex lens is immersed in water, its focal length increases. This occurs because the refractive index of water is greater than that of air, which reduces the relative refractive index of the lens material with respect to the surrounding medium.
Think of how easily light bends when transitioning between two very different mediums like air and water. If the surrounding medium becomes denser (like water instead of air), the contrast in optical density decreases, so light doesn't bend as sharply, stretching out the focal point.
f1тАЛ=(╬╝mтАЛ╬╝lтАЛтАЛтИТ1)(R1тАЛ1тАЛтИТR2тАЛ1тАЛ) тАФ Lens Maker's Formula
P=f1тАЛ тАФ Power of a lens
According to the Lens Maker's Formula, the focal length depends on the relative refractive index of the lens with respect to the medium (╬╝lmтАЛ=╬╝mтАЛ╬╝lтАЛтАЛ). When the lens is placed in water, the surrounding medium's refractive index increases from 1.0 (air) to approximately 1.33 (water). This reduces the value of ╬╝lmтАЛ, thereby decreasing the refracting power of the lens and causing light rays to bend less, resulting in a larger focal length.
The focal length of a lens depends on the refractive index of both the lens and the surrounding medium.
Since water has a higher refractive index than air, the relative refractive index of glass with respect to water decreases.
A smaller relative refractive index leads to weaker bending of light, hence an increased focal length.
Understanding optical instruments used underwater
Designing lenses for specific fluid environments
Refractive index of glass is approximately 1.5, while that of water is 1.33.
Options B, C, and D are incorrect because the focal length is medium-dependent and increases rather than decreasing or becoming zero.
A is correct тАФ The focal length of a convex lens increases when it is immersed in water due to the decrease in the relative refractive index between the lens and the surrounding medium.
Always remember that the power and focal length of a lens are medium-dependent, unlike the frequency of light during refraction which remains constant.