TY  - 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 . .