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The refractive index of water and kerosene are 1.33 and 1.44, respectively. A ray of light travels from water to kerosene. The refractive index of kerosene with respect to water is ____ and the light ray bends ____ the normal in kerosene.

A.
1.08; towards
B.
0.92; towards
C.
0.92; away from
D.
1.08; away from

Solution:

The correct answer is 1.08 : towards.Concept:Refraction of Light: The bending of the ray of light passing from one medium to the other medium is called refraction.Refractive Index (n): n = sin i / sin r, where 'i' = angle of incidence and 'r' = angle of refraction. Also n = c/v, where c = speed of light in vacuum, and v = speed of light in a medium.Explanation:?Relative refractive index:It refers to the refractive index of one material medium with respect to another one.\(n_{21}= \frac{n_{2}}{n_{1}}\)Refractive index of kerosene with respect to water:n = refractive index of kerosene / refractive index of water = \(\frac{1.44}{1.33}\) = 1.08Greater the refractive index, the denser the medium. Thus, kerosene (1.44) is denser than water (1.33).When the ray of light moves from a denser to a rarer medium, the refracted ray moves away from the normal.When the ray of light moves from a rarer to a denser medium, the refracted ray moves towards the normal.The refractive index of kerosene with respect to water is 1.08 and the light ray bends toward the normal in kerosene.

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