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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

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Solution

Para responder a esta pregunta, utilizaremos la ley de Snell, que se expresa como:

n1sin(θ1)=n2sin(θ2) n_1 \sin(\theta_1) = n_2 \sin(\theta_2)

donde:

  • n1 n_1 es el índice de refracción del primer medio (aire, en este caso, n1=1.0 n_1 = 1.0 ).
  • θ1 \theta_1 es el ángulo de incidencia.
  • n2 n_2 es el índice de refracción del segundo medio (agua, en este caso, n2=1.33 n_2 = 1.33 ).
  • θ2 \theta_2 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:

sin(θ2)=n1n2sin(θ1) \sin(\theta_2) = \frac{n_1}{n_2} \sin(\theta_1)

Como n1n2 \frac{n_1}{n_2} es menor que 1 (porque n1<n2 n_1 < n_2 ), esto implica que sin(θ2)<sin(θ1) \sin(\theta_2) < \sin(\theta_1) . Dado que la función seno es creciente en el intervalo de 0 a 90 grados, esto significa que:

θ2<θ1 \theta_2 < \theta_1

Por lo tanto, el ángulo de incidencia es mayor que el ángulo de refracción. La respuesta correcta es:

incidence > refraction

This problem has been solved

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