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A converging lens has a focal length of 46.0 cm. Locate the images for the follo

ID: 1450176 • Letter: A

Question

A converging lens has a focal length of 46.0 cm. Locate the images for the following object distances, if they exist.

Find the magnification. (Enter 0 in the q and M fields if no image exists.)

(a) 46.0 cm

q = _______cm

M = ________

Select all that apply to part (a). real virtual upright inverted no image

(b) 9.20 cm

q = _______cm

M =________

Select all that apply to part (b). real virtual upright inverted no image

(c) 276 cm

q = ________cm

M = _________

Select all that apply to part (c). real virtual upright inverted no image

Explanation / Answer

f = 46 cm

a) object distance, u = 46 cm

let v is the image distance.

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

1/v = 1/f - 1/u

1/v = 1/46 - 1/46

v = infinite. so image is formed at inifinte distance.

so, v = 0

M = 0

b) object distance, u = 9.2 cm

let v is the image distance.

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

1/v = 1/f - 1/u

1/v = 1/46 - 1/9.2

v = -11.5 cm

M = -v/u = -(-11.5)/9.2 = 1.25

c) object distance, u = 276 cm

let v is the image distance.

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

1/v = 1/f - 1/u

1/v = 1/46 - 1/276

v = 55.2 cm

M = -v/u = -55.2/276 = -0.2

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