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The refractive index of water is 1.33. What does this value mean?
Light travels 1.33 times faster in water than in air.
The speed of light in air is 1.33 times the speed of light in water.
Light travels 1.33 times slower in air than in water.
The speed of light in water and air is the same.
The speed of light in air is 1.33 times the speed of light in water.
The refractive index (n) of a medium is defined as the ratio of the speed of light in a vacuum (or air) to the speed of light in that medium. A refractive index of 1.33 for water means light travels 1.33 times faster in air (or vacuum) than it does in water.
The refractive index (n) of a medium is defined as the ratio of the speed of light in a vacuum (or air) to the speed of light in that medium. A refractive index of 1.33 for water means light travels 1.33 times faster in air (or vacuum) than it does in water.
Imagine running on a smooth paved road (air) versus running through knee-deep water (water). You naturally slow down in water because of greater resistance. The refractive index value tells you how many times more resistant water is to light's travel compared to open air.
Remember 'NAV': N = Air / Vacuum speed over Medium speed (n=c/v). Higher n means slower speed in that medium!
n=vc — Refractive index (n) equals speed of light in vacuum/air (c) divided by speed in medium (v)
v=nc — Speed of light in medium (v)
c=n×v — Speed of light in air (c) expressed in terms of speed in medium (v)
When light enters an optically denser medium like water from air, its speed decreases due to interaction with the atoms of the medium. The absolute refractive index is given by Snell's relation n=vc, where c is the speed of light in vacuum/air (3×10°8 m/s) and v is the speed of light in the given medium. Rearranging this gives c=n×v=1.33×v, showing that light's speed in air is 1.33 times its speed in water.
Refractive index is a dimensionless scalar quantity with no units.
Higher refractive index indicates higher optical density and slower speed of light in that medium.
The refractive index of air is approximately 1.0003, often taken as 1 for basic physics calculations.
Used in designing optical lenses, eyeglasses, and camera equipment.
Determines bending of light rays leading to phenomena like apparent depth of submerged objects and mirages.
Option A is incorrect because light travels faster in air than in water, not vice versa.
Option C is incorrect because light travels faster (not slower) in air than in water.
Option D is incorrect because light changes speed when moving across media of different optical densities.
Exact speed of light in water = 1.333×10°8 m/s≈2.25×10°8 m/s.
B is correct — By definition, absolute refractive index n=speed in mediumspeed in air, so 1.33 means the speed of light in air is 1.33 times that in water.
Questions on Snell's Law (n1sini=n2sinr) and Critical Angle (sinC=n1) frequently use nwater=34≈1.33 and nglass=23=1.5. Memorizing these fractions speeds up numerical calculations dramatically!