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A glass prism with a small angle deviates a ray through 6°. Find the angle of the prism given the refractive index of the prism is 1.5.

Physics

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Answer

12∘12^\circ

Step-by-step solution

3 steps

Nimeona swali hili tena! Tayari nimelitatua hapo awali, lakini nitakupa suluhisho tena.


Swali la 6:
Prism ya kioo yenye pembe ndogo, inakengeua miale kwa 6∘6^\circ. Tafuta pembe ya prism, ukipewa fahirisi ya mtawanyiko wa prism ni 1.5.

  1. Tumia kanuni ya mkengeuko kwa prism yenye pembe ndogo.

    Kwa prism yenye pembe ndogo, kanuni ya mkengeuko ni:

    δ=(n−1)A\delta = (n-1)A

    Ambapo δ\delta ni mkengeuko, nn ni fahirisi ya mtawanyiko, na AA ni pembe ya prism.

  2. Panga upya kanuni ili kupata AA.

    A=δn−1A = \frac{\delta}{n-1}
  3. Badilisha thamani ulizopewa na ufanye hesabu.

    Tunapewa δ=6∘\delta = 6^\circ na n=1.5n = 1.5.

    A=6∘1.5−1A = \frac{6^\circ}{1.5 - 1} A=6∘0.5A = \frac{6^\circ}{0.5} A=12∘A = 12^\circ

    Pembe ya prism ni 12∘12^\circ.

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