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u1a1=u1a1=u2a2=........ i.e ua=constant
yes ,you r right.
the purpose of studying about refractive index (u) is to know whether the given medium is rarer or denser . this(u) again represents whether speed of light is more or less in that medium. speed of light is less in a denser medium(more u value).i.e., u and speed of light are inversely proportional .
but, speed, v = f n ;
u = k/ v
u = k / f n .
u n = k/f = constant. f= frequency of light = constant.
hence , u1 n1 = u2 n2
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