REQUIRED18.If light travels from air (n = 1.0) into water (n = 1.33), compare the angle of incidence and the angle of refraction.incidence > refraction refraction < incidencerefraction = incidencechat_bubble_outlineQuestion 904:14keyboard_arrow_downQuestion 1004:35keyboard_arrow_downQuestion 1104:50keyboard_arrow_downQuestion 1205:25keyboard_arrow_downQuestion 1305:43keyboard_arrow_downQuestion 1406:14keyboard_arrow_downQuestion 1507:09keyboard_arrow_down
Question
REQUIRED18.If light travels from air (n = 1.0) into water (n = 1.33), compare the angle of incidence and the angle of refraction.incidence > refraction refraction < incidencerefraction = incidencechat_bubble_outlineQuestion 904:14keyboard_arrow_downQuestion 1004:35keyboard_arrow_downQuestion 1104:50keyboard_arrow_downQuestion 1205:25keyboard_arrow_downQuestion 1305:43keyboard_arrow_downQuestion 1406:14keyboard_arrow_downQuestion 1507:09keyboard_arrow_down
Solution
Para responder a esta pregunta, utilizaremos la ley de Snell, que se expresa como:
donde:
- es el índice de refracción del primer medio (aire, en este caso, ).
- es el ángulo de incidencia.
- es el índice de refracción del segundo medio (agua, en este caso, ).
- es el ángulo de refracción.
Dado que el índice de refracción del agua (1.33) es mayor que el del aire (1.0), podemos deducir que:
Como es menor que 1 (porque ), esto implica que . Dado que la función seno es creciente en el intervalo de 0 a 90 grados, esto significa que:
Por lo tanto, el ángulo de incidencia es mayor que el ángulo de refracción. La respuesta correcta es:
incidence > refraction
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