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A light beam is travelling from Region I...

A light beam is travelling from Region `I` to `IV` (figure). The refractive index in regionals `I,II,III` and `IV` are `n_0=(n_0)/(2)`(n_0)/(6) and (n_0)/(8)` respectively. The angle of incidence `theta` for which the beam just misses entering region IV is- `

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