Mathematical and Physical Journal
for High Schools
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# Problem P. 5007. (February 2018)

P. 5007. A laser beam is incident on a prism of vertex angle of $\displaystyle 70^\circ$. The angle of incidence of the beam is the same as the angle at which the ray emerges from the prism. The laser beam is deflected from its original direction by an angle of $\displaystyle 50^\circ$.

What is the refractive index of the material of the prism?

(3 pont)

Deadline expired on March 12, 2018.

Sorry, the solution is available only in Hungarian. Google translation

Megoldás. $\displaystyle n=\frac{\sin\frac{70^\circ+50^\circ}{2}}{\sin\frac{70^\circ}{2}}=1{,}51$.

### Statistics:

 38 students sent a solution. 3 points: Balaskó Dominik, Balogh 999 Árpád Mátyás, Bíró Dániel, Csuvár Ákos, Debreczeni Tibor, Édes Lili, Fekete András Albert, Ferris Prima Nugraha, Garamvölgyi István Attila, Geretovszky Anna, Jánosdeák Márk, Jánosik Áron, Kántor Bence, Klučka Vivien, Kovács 111 Bence, Markó Gábor, Máth Benedek, Pálfi Fanni, Pszota Máté, Rusvai Miklós, Sal Dávid, Sas 202 Mór, Schneider Anna, Surján Botond, Tafferner Zoltán, Tran 444 Ádám, Turcsányi Ádám, Vaszary Tamás. 2 points: Keltai Dóra, Viczián Anna. 1 point: 4 students. 0 point: 2 students. Unfair, not evaluated: 2 solutionss.

Problems in Physics of KöMaL, February 2018