Problem P. 4123. (December 2008)
P. 4123. A 5 dioptre converging lens and a concave mirror of radius 40 cm are at a distance of 40 cm. The two optical devices have the same principal axis. The mirror is facing towards the lens with its reflecting side. There is a small beetle 30 cm away from the lens on the side which is opposite to the mirror.
What type of image - or images - are formed about the beetle by the optical system? What is the magnification?
Deadline expired on January 12, 2009.
59 students sent a solution. 4 points: Filep Tibor, Fricska Zoltán, Garaguly Gergő, Kardos Örs, Kiss Boldizsár, Kovács Benjámin, Krämer Zsolt, Laczkó Zoltán Balázs, Lovas Lia Izabella, Maknics András, Pálovics Péter, Pázmán Koppány, Réti Dávid, Tóth 222 Barnabás, Varju 105 Tamás. 3 points: Benyó Krisztián, Bodosi Eszter, Borsos 607 Zalán, Budafoki Richárd Gergely, Égető Tamás, Fonai Dániel, Greksza Máté Attila, Harsányi Szabolcs, Hohmann Balázs, Jakab Dávid, Kovács 235 Gábor, Meszlényi Regina, Molnár Gabriella, Papp Edina, Pásztor Bálint, Szabó 928 Attila, Velicsányi Péter. 2 points: 7 students. 1 point: 11 students. 0 point: 2 students. Unfair, not evaluated: 7 solutions.