Use the worked example above to help you solve this problem. A converging lens o

Question

Use the worked example above to help you solve this problem. A converging lens of focal length 8.1 cm forms images of an object situated at various distances. (a) If the object is placed 24.3 cm from the lens, locate the image, state whether it's real or virtual, and find its magnification. (If either of the quantities evaluate to infinity, type INFINITY.) q = cm M =
(b) Repeat the problem when the object is at 8.1 cm. q = cm M =
(c) Repeat again when the object is 4.05 cm from the lens. q = cm M = EXERCISE HINTS: GETTING STARTED | I'M STUCK! Suppose the image of an object is upright and magnified 1.70 times when the object is placed 12.8 cm from a lens. Find the location of the image and the focal length of the lens. q = cm f = cm
Use the worked example above to help you solve this problem. A converging lens of focal length 8.1 cm forms images of an object situated at various distances. (a) If the object is placed 24.3 cm from the lens, locate the image, state whether it's real or virtual, and find its magnification. (If either of the quantities evaluate to infinity, type INFINITY.) q = cm M =
(b) Repeat the problem when the object is at 8.1 cm. q = cm M =
(c) Repeat again when the object is 4.05 cm from the lens. q = cm M = EXERCISE HINTS: GETTING STARTED | I'M STUCK! Suppose the image of an object is upright and magnified 1.70 times when the object is placed 12.8 cm from a lens. Find the location of the image and the focal length of the lens. q = cm f = cm
Use the worked example above to help you solve this problem. A converging lens of focal length 8.1 cm forms images of an object situated at various distances. (a) If the object is placed 24.3 cm from the lens, locate the image, state whether it's real or virtual, and find its magnification. (If either of the quantities evaluate to infinity, type INFINITY.) q = cm M =
(b) Repeat the problem when the object is at 8.1 cm. q = cm M =
(c) Repeat again when the object is 4.05 cm from the lens. q = cm M = EXERCISE HINTS: GETTING STARTED | I'M STUCK! Suppose the image of an object is upright and magnified 1.70 times when the object is placed 12.8 cm from a lens. Find the location of the image and the focal length of the lens. q = cm f = cm

Explanation / Answer

f = 8.1 cm ,

(a) s = 24.3 cm

from lens formula

1/f = 1/s +1/q

1/8.1 =1/24.3 +1/q

q =12.15 cm

q is positive , so it is real image

magnification M =-q/s

M = -12.15/24.3

M = -0.5

(b) s = 8.1 cm

1/f = 1/s +1/q

1/8.1 = 1/8.1 +1/q

q = infinity

M = infinity

(c) M= 1.7

s =12.8 cm

M = -q/s

1.7 = -q/12.8

q = -21.76 cm

from lens formula

1/f = 1/s +1/q

1/f = 1/12.8 -1/21.76

f = 31.1 cm

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