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A camera has a lens with a focal length of 65.0 mm. We first adjust the position

ID: 1635124 • Letter: A

Question

A camera has a lens with a focal length of 65.0 mm. We first adjust the position of the lens so that the camera is focused on a distant object. By "focused," we mean that the image is at the position of the CCD. For a distant object ( p ~ oo), the distance between the lens and the CCD should be 65.0 mm (q -f). Now suppose that we want to focus the camera on an object that is 1.83 m away. (a) How far and (b) in what direction must the lens be moved? Neglect any change in the distance between the object and the lens when the lens is moved. (a) How far must the lens be moved? mm ( ± 0.02 mm)

Explanation / Answer

(A) f = 65 mm

object distane, p = 1.83 m = 1830 mm

Applying lens equation,

1/f = 1/p + 1/q

1/65 = 1/1830 + 1/q

q = 67.4 mm


lens have to be moved by distance,

d = 67.4 - 65 = 2.4 mm

(b) farther from the