At face AB,i=0. So, r=0, i.e., light will be incident on face AC at an angle of incidence 45∘. The face AC will not transmit the light for which i>C. i.e. sini>sinC ⇒sin45∘>
1
µ
or
1
√2
>
1
µ
⇒µ>√2 As refractive index for red colour is 1.39 which is less than √2, so red will be transmitted through face AC while green and blue will be reflected.