6. A long core-shell structure is made to transmit an optical wave through total internal reflection within the core region. If the refractive indices for the core and the shell are respectively n₁ = 1.5 and n₂ = 3.0, as depicted in the figure. What is the minimum value of the angle \(\theta\) for a successful transmission?
(A)30°
(B)45°
(C)60°
(D)90°

(E)None of the above

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