A ray of light enters the soda-lime glass surface (n_g = 1.46) with incident ang

Question

A ray of light enters the soda-lime glass surface (n_g = 1.46) with incident angle theta_1 = 45 degree from the air (use n_a = 1 for the refractive index of the air). Calculate the propagation angle theta_2 of the refracted ray inside the glass using Snell's law. Calculate the angle of the total internal reflection theta_c (critical angle) inside the Crown glass (n_g = 1.52) at the boundary with water (use n_w = 1.33 for the refractive index of the water). A positive (convex) lens has focal length f = 150 mm. A small object of size y_0 = 1 cm is placed at the distance d_0 = 250 mm away from the lens. Calculate the size of the image y_i, and the distance of the image from the lens d_i. Is this image real or virtual? Is this image inverted? A negative (concave) lens has focal length f = -100 mm. A small object of size y_0 = 1 cm is placed at the distance d_0 = 300 mm away from the lens. Calculate the size of the image y_i, and the distance of the image from the lens d_i. Is this image real or virtual? Is this image inverted?

Explanation / Answer

solving first question

Question

we know

Snell's law states

n2/n1=sin(angle of incidence in medium 1)/sin(angle of refraction in medium 2)

1.46/1=sin(45)/sin(angle of refraction)

we got angle of refraction=28.96 degree

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