This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.

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Step 1: Tambua thamani ulizopewa na kanuni. Tunaambiwa kuwa mwale wa mwanga unapita kutoka kioo kwenda hewani. Kielezo cha mtawanyiko wa kioo, . Kielezo cha mtawanyiko wa hewa, . Pembe ya tukio kwa kiolesura ni . Hii inamaanisha pembe ya tukio (angle of incidence) na mstari wa kawaida (normal) ni . Hivyo, . Tutatumia Kanuni ya Snell: .
Step 2: Badilisha thamani kwenye Kanuni ya Snell.
Step 3: Kokotoa . Tunajua kuwa .
Step 4: Rahisisha na utafute .
Step 5: Tafuta pembe ya mtawanyiko, . Ili kupata , tunatumia kazi ya arcsin (au ).
Pembe ya mtawanyiko ni .
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Tambua thamani ulizopewa na kanuni. Tunaambiwa kuwa mwale wa mwanga unapita kutoka kioo kwenda hewani.
This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.