QUESTION 1 An object is placed to the left of a lens, and a real image is formed

Question

QUESTION 1

An object is placed to the left of a lens, and a real image is formed to the right of the lens. The image is inverted relative to the object and is one-half the size of the object. The distance between the object and the image is 96.7 cm.

(a) How far from the lens is the object?

cm / cm^-1 / or no units

(b) What is the focal length of the lens?

cm / cm^-1 / or no units

QUESTION 2

A converging lens has a focal length of 85.00 cm. A 11.0 cm tall object is located 175.0 cm in front of this lens.

(a) What is the image distance?
cm
(b) Is the image real or virtual?

real virtual    

(c) What is the image height? Be sure to include proper algebraic sign.
cm

Explanation / Answer

Question 1)

Since you said the answer to part A is 64.5, then for part B apply

1/f = 1/p + 1/q

p is from part A = 64.5

q = 96.7 - 64.5 = 32.2

1/f = 1/64.5 + 1/32.2

f = 21.5 cm

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