Mathematical and Physical Journal
for High Schools
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# Problem P. 4506. (January 2013)

P. 4506. A stationary electron and a positron, which travels at half of the speed of the light, collide. What is the frequency of the two photons which born after the annihilation, if they travel in the direction of the initial velocity of the positron?

(4 pont)

Deadline expired on February 11, 2013.

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

Megoldásvázlat. $\displaystyle \lambda_1=1{,}77\cdot10^{-12}~{\rm m}$; $\displaystyle \lambda_2=3{,}07\cdot10^{-12}~{\rm m}$. \Az 1-es foton a pozitron haladási irányához viszonyítva előre, a 2-es jelű pedig hátrafelé mozog.

### Statistics:

 39 students sent a solution. 4 points: Antalicz Balázs, Asztalos Bogdán, Balogh Menyhért, Barta Szilveszter Marcell, Bingler Arnold, Csathó Botond, Dávid Bence, Jenei Márk, Juhász Péter, Kenderes Anett, Kollarics Sándor, Kovács 444 Áron, Pázmán Zalán, Petrács Ervin, Seress Dániel, Szabó 928 Attila, Sztilkovics Milán, Ürge László. 3 points: Blum Balázs, Czipó Bence, Dinev Georgi, Garami Anna, Kaszás Bálint, Sisák Mária Anna, Takács 737 Gábor, Ványi András, Varga Blanka, Vasvári Ádám Viktor, Zahemszky Péter. 2 points: 5 students. 1 point: 4 students. 0 point: 1 student.

Problems in Physics of KöMaL, January 2013