A thin lens has a focal length of 25.0 cm. (a) Locate the image when the object

Question

A thin lens has a focal length of 25.0 cm. (a) Locate the image when the object is placed 26.1 cm in front of the lens. (Enter a negative distance if the image is in front of the lens.) cm from the lens Choose the correct description of the image. (Select all that apply.) inverted virtual real upright enlarged reduced (b) Locate the image when an object is placed 23.9 cm in front of the lens. (Enter a negative distance if the image is in front of the lens, cm from the lens Choose the correct description of the image. (Select all that apply.) enlarged upright virtual inverted reduced real

Explanation / Answer

(a) f = 25 cm, u = 26.1 cm

from lens formula

1/f = 1/u +1/v

1/25 = 1/26.1 +1/v

v = 593.2 cm

v positive , so image is real image

magnification m = -v/u = -593.2/26.1

m = -22.7

m is negative , so image is inverted image

m > 1 , so image is enlarged image

(b) f = 25 cm, u = 23.9 cm

from lens formula

1/f = 1/u +1/v

1/25 = 1/23.9 +1/v

v = -543.2 cm

v negative , so image is virtual image

magnification m = -v/u = 543.2/26.1

m = 20.8

m is negative , so image is upright image

m > 1 , so image is enlarged image

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