Q. 33

Refractive

Answer :

Sol.


The refractive index of a substance is the ratio of the speed of light in a vacuum to the speed of light in the medium.


Since the refractive index of diamond is more, hence the speed of


light is lesser in a diamond.


Let the speed of light in water be vwand in diamond be vd.


Refractive index of diamond w.r.t water is, say n.


From the definition, we know



Dividing both numerator and denominator by speed of light [c], we


get


n = (vw/c) ÷ (vd/c)


Which is the inverse ratio of refractive index of water and diamond


n= 2.42/1.33 = 1.82 (approx.)


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