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# if a wave travels from one medium to another and the index refraction is tripled, what can be said about the s?

if a wave travels from one medium to another and the index refraction is tripled, what can be said about the speed of the wave in both medium?

please demonstrate what equations you used and how you got the answer with work, I reall would appreciate it, thanks

### 1 Answer

- trueproberLv 78 years agoFavorite Answer
Hello Uriel, just don't forget to use the formula

a_u_g read as refractive index of glass with respect to air

Same way g_u_w read as refractive index of water with respect to glass

Now in general 1_u_2, refractive index of medium 2 with respect to1

Now this 1_u_2(mu) = speed of light in first medium / speed of light in second medium

So as you triple the the value of u, then the speed of the wave in the medium is reduced to one third of the original.

Suppose the speed in the medium is 2.7*10^8 m/s then as the u gets tripled then speed falls to 0.9*10^8 m/s

Here I have taken air medium as the reference medium

If suppose some other medium is taken as reference medium then

1_u_2 = a_u_2 / a_u_1

Left side tripled means it may due to a_u_2 gets tripled keeping a_u_1 the same. If so the earlier answer would suit.

But if the refractive index of medium 1 also gets affected to make the ratio tripled, then velocity of light would have changed in the first medium also