please answer parts C-H (11%) Problem 9: Consider the compound optical system sh

Question

please answer parts C-H

(11%) Problem 9: Consider the compound optical system shown in the diagram, where two thin lenses of focal lengths 7.5 cm (left lens) and 34 cm (right lens) are separated by a distance 21 cm do ©theexpertta.com 13% Part (a) If an object is placed a distance d >fi to the left of the first lens (the left lens) will the resulting image from the first lens be real or virtual, and inverted or upright? 13% Part (b) If a 3.1 cm tall object is placed as indicated in part (a), and the image formed is 0.87 cm tall, what is the magnification of the first lens? 13% Part (c) Using the information from part (b), calculate the image distance, in centimeters, from the first lens. Grade Summary il 0% 100% sin0 cos0 tan() | | ( Attempts remaining: 6 (2% per attempt) detailed view cotana asino atan acotan) sinhO cosh0 tanhcotanh 0 END Degrees Radians Submit Hint Hints: 1 % deduction pe r hint. Hints remaining: 2 Feedback: 1% deduction per feedback. 13% Part (d) Does the image formed by the first lens serve as a real or a virtual object for the second lens? 13% Part (e) What is the image distance, in centimeters, for the second lens? 13% Part (f) what is the magnification of the second lens? 13% Part (g) What is the total magnification of this compound optical system? 13% Part (h) Is the image created by the second lens real or virtual? Is it upright or inverted?

Explanation / Answer

m = -v/u = hi/ho

m1 = -v/u = 0.87/3.1

v = -0.28u

1/u + 1/v = 1/f

1/u - 1/0.28u = 1/7.5

u= -19.2857 cm

v = -0.28u = 5.4 cm

part d )

real image

part e )

u = 21-5.4 = 15.6 cm

1/f = 1/u + 1/v

v = -28.826 cm

part f )

m = -v/u = 1.8478

part h )

vitual , upright

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