Image positions of a vertical rod in a liquid-filled cylindrical container
Samo za registrovane korisnike
2014
Članak u časopisu (Objavljena verzija)
Metapodaci
Prikaz svih podataka o dokumentuApstrakt
We describe a rather simple optical experiment, which many students can easily carry out, but the theoretical explanation of which requires far-from-simple mathematical analysis and application of numerical methods. A thin vertical rod, partially immersed in a liquid-filled transparent cylindrical container, is moved from the centre toward the wall and observed laterally. As it moves, the part seen through the air and the part seen through the water start to separate, so that at a certain distance from the centre the lower part of the rod becomes invisible. We show that this happens at the distance for which the refracted ray that reaches the observer's eye is along the tangent to the surface of a cylinder. We derive the expression for this distance as a function of the index of refraction and ratio d/r, where d is the distance of the observer from the surface and r is the radius of the container. The locus of image positions is determined by evaluating the intersections of pairs of cl...ose rays from the rod which reach the observer's eye after refraction at the surface of the container.
Ključne reči:
refraction of light / index of refraction / negative index of refraction / visual phenomena due to the refraction of light / rays of light / measurement of the index of refractionIzvor:
European Journal of Physics, 2014, 35, 2Izdavač:
- Institute of Physics Publishing
Finansiranje / projekti:
- Fizika uređenih nanostruktura i novih materijala u fotonici (RS-MESTD-Basic Research (BR or ON)-171005)
- Novi pristup problemima zasnivanja kvantne mehanike sa aspekta primene u kvantnim tehnologijama i interpretacijama signala različitog porekla (RS-MESTD-Basic Research (BR or ON)-171028)
- Generisanje i karakterizacija nanofotonskih funkcionalnih struktura u biomedicini i informatici (RS-MESTD-Integrated and Interdisciplinary Research (IIR or III)-45016)
DOI: 10.1088/0143-0807/35/2/025011
ISSN: 0143-0807
WoS: 000334579200011
Scopus: 2-s2.0-84899575646
Kolekcije
Institucija/grupa
GraFarTY - JOUR AU - Davidović, Milena AU - Božić, Mirjana AU - Slisko, Josip AU - Gajić, Radoš AU - Dragović, Magdalena PY - 2014 UR - https://grafar.grf.bg.ac.rs/handle/123456789/640 AB - We describe a rather simple optical experiment, which many students can easily carry out, but the theoretical explanation of which requires far-from-simple mathematical analysis and application of numerical methods. A thin vertical rod, partially immersed in a liquid-filled transparent cylindrical container, is moved from the centre toward the wall and observed laterally. As it moves, the part seen through the air and the part seen through the water start to separate, so that at a certain distance from the centre the lower part of the rod becomes invisible. We show that this happens at the distance for which the refracted ray that reaches the observer's eye is along the tangent to the surface of a cylinder. We derive the expression for this distance as a function of the index of refraction and ratio d/r, where d is the distance of the observer from the surface and r is the radius of the container. The locus of image positions is determined by evaluating the intersections of pairs of close rays from the rod which reach the observer's eye after refraction at the surface of the container. PB - Institute of Physics Publishing T2 - European Journal of Physics T1 - Image positions of a vertical rod in a liquid-filled cylindrical container IS - 2 VL - 35 DO - 10.1088/0143-0807/35/2/025011 ER -
@article{ author = "Davidović, Milena and Božić, Mirjana and Slisko, Josip and Gajić, Radoš and Dragović, Magdalena", year = "2014", abstract = "We describe a rather simple optical experiment, which many students can easily carry out, but the theoretical explanation of which requires far-from-simple mathematical analysis and application of numerical methods. A thin vertical rod, partially immersed in a liquid-filled transparent cylindrical container, is moved from the centre toward the wall and observed laterally. As it moves, the part seen through the air and the part seen through the water start to separate, so that at a certain distance from the centre the lower part of the rod becomes invisible. We show that this happens at the distance for which the refracted ray that reaches the observer's eye is along the tangent to the surface of a cylinder. We derive the expression for this distance as a function of the index of refraction and ratio d/r, where d is the distance of the observer from the surface and r is the radius of the container. The locus of image positions is determined by evaluating the intersections of pairs of close rays from the rod which reach the observer's eye after refraction at the surface of the container.", publisher = "Institute of Physics Publishing", journal = "European Journal of Physics", title = "Image positions of a vertical rod in a liquid-filled cylindrical container", number = "2", volume = "35", doi = "10.1088/0143-0807/35/2/025011" }
Davidović, M., Božić, M., Slisko, J., Gajić, R.,& Dragović, M.. (2014). Image positions of a vertical rod in a liquid-filled cylindrical container. in European Journal of Physics Institute of Physics Publishing., 35(2). https://doi.org/10.1088/0143-0807/35/2/025011
Davidović M, Božić M, Slisko J, Gajić R, Dragović M. Image positions of a vertical rod in a liquid-filled cylindrical container. in European Journal of Physics. 2014;35(2). doi:10.1088/0143-0807/35/2/025011 .
Davidović, Milena, Božić, Mirjana, Slisko, Josip, Gajić, Radoš, Dragović, Magdalena, "Image positions of a vertical rod in a liquid-filled cylindrical container" in European Journal of Physics, 35, no. 2 (2014), https://doi.org/10.1088/0143-0807/35/2/025011 . .