Mathematical and Physical Journal
for High Schools
Issued by the MATFUND Foundation
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Problem P. 4089. (September 2008)

P. 4089. The depth of water in a swimming-pool is 2 m. An incandescent lamp is operated 3 m above the surface of the water. Exactly below the lamp a 1 diopter lens, which has small diameter, is moved up and down. How far is the lens from the surface of the water when the sharp enlarged image of the filament of the lamp appears at the bottom of the pool?

(5 pont)

Deadline expired on October 13, 2008.


Statistics:

56 students sent a solution.
5 points:Bartha Zsolt, Benyó Krisztián, Bodosi Eszter, Egyed Zsombor, Farkas Márton, Harsányi Szabolcs, Hartstein Máté, Iván Dávid, Krämer Zsolt, Laczkó Zoltán Balázs, Lászlóffy András, Mayer Martin János, Nagy 729 Krisztina, Para Attila, Patartics Bálint, Pázmán Koppány, Timár Máté, Tószegi Károly, Zsolczai Viktor.
4 points:Bali-Papp Donát, Borsos 607 Zalán, Börcsök Bence, Deák Zsolt, Filep Tibor, Garaguly Gergő, Jéhn Zoltán, Kemecsei Róbert, Kovács 113 Hajnalka, Kovács 235 Gábor, Kovács Benjámin, Lovas Lia Izabella, Marák Károly, Neumer Tamás, Szabó 895 Dávid, Tamási Mátyás, Túri Attila, Varga 777 Ádám, Werner Bence, Zelei Kristóf.
3 points:3 students.
2 points:11 students.
1 point:1 student.
0 point:1 student.
Unfair, not evaluated:1 solution.

Problems in Physics of KöMaL, September 2008