The left end of a long glass rod, 8.00 cm in diameter, has a convex hemispherica

Question

The left end of a long glass rod, 8.00 cm in diameter, has a convex hemispherical surface 4.00 cm in radius. The refractive index of the glass is 1.60. a. Determine the position s_b of the image of an object placed in air on the axis of the rod infinitely far from the left end of the rod. Express your answer in centimeters to three significant figures. b. Determine the position s_b of the image if an object is placed in air on the axis of the rod 12.0 cm to the left of the end of the rod. Express your answer in centimeters to three significant figures. c. Determine the position s_b of the image if an object is placed in air on the axis of the rod 4.00 cm from the left end of the rod. Express your answer in centimeters to three significant figures. The left end of a long glass rod, 8.00 cm in diameter, has a convex hemispherical surface 4.00 cm in radius. The refractive index of the glass is 1.60. a. Determine the position s_b of the image of an object placed in air on the axis of the rod infinitely far from the left end of the rod. Express your answer in centimeters to three significant figures. b. Determine the position s_b of the image if an object is placed in air on the axis of the rod 12.0 cm to the left of the end of the rod. Express your answer in centimeters to three significant figures. c. Determine the position s_b of the image if an object is placed in air on the axis of the rod 4.00 cm from the left end of the rod. Express your answer in centimeters to three significant figures. Express your answer in centimeters to three significant figures. b. Determine the position s_b of the image if an object is placed in air on the axis of the rod 12.0 cm to the left of the end of the rod. Express your answer in centimeters to three significant figures. c. Determine the position s_b of the image if an object is placed in air on the axis of the rod 4.00 cm from the left end of the rod. Express your answer in centimeters to three significant figures. Express your answer in centimeters to three significant figures. c. Determine the position s_b of the image if an object is placed in air on the axis of the rod 4.00 cm from the left end of the rod. Express your answer in centimeters to three significant figures. Express your answer in centimeters to three significant figures.

Explanation / Answer

The experssion for the object and image distances for a refracting surface is given as ( n1 / S_o ) + (n2 / S_b) = [ (n2 -n1)/ R ]Here n1 is the refractive index of air n1 = 1 , n2 is refractive index of glass n2 = 1.6 S-o is objeect distance = 14cm , R is radius of curvature R = 5cmon substitution we have ( 1 / 14) + (1.6 / S_b) = [ ( 1.6 - 1) / 5 ] S_b = 32.94cm The image is formed at the back of the refracting surface

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