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By what factor is the image magnified when an object is placed 1.7 focal lengths

ID: 1507420 • Letter: B

Question

By what factor is the image magnified when an object is placed 1.7 focal lengths from a converging lens? Remember that magnification can be either positive or negative. Express your answer using two significant figures. Part B Is the image upright or inverted? You're standing 2.0 m horizontally from the edge of a 4.5 m -deep lake, with your eyes 1.6 m above the water surface. A diver holding a waterproof laser pointer at the lake bottom points the laser so you can see it. Part A If the light in the water makes a 40degree angle with the vertical, at what horizontal distance is the diver from the edge of the lake? Express your answer using two significant figures.

Explanation / Answer

11)
A)
let f is the focal length.

object distance, u = 1.7*f

let v is the image distance.

apply, 1/u + 1/v = 1/f

1/v = 1/f - 1/u

1/v = 1/f - 1/(1.7*f)

v = 2.428*f

so, magnification, M = -v/u

= -2.428*f/(1.7*f)

= 1.428

b) inverted