E,F,G only A= Real B= -0.31 C=9.84 D= Real (8%) Problem 12: Consider the compoun
ID: 1547453 • Letter: E
Question
E,F,G only
A= Real
B= -0.31
C=9.84
D= Real
(8%) Problem 12: Consider the compound optical system shown in the diagram, where two thin lenses of focal lengths 75 cm (left lens and 40.5 cm (right lens) are separated by a distance 21 cm Otheexpertta.com If an object is placed a distance do >fi to the left of the first lens (the left lens), will the resulting image from the first lens be 13% Part (a) real or virtual, and inverted or upright? cm tall, what is the magnification of the 13% Part (b) If a 2.9 cm tall object is placed as indicated in part (a), and the image formed is 0.89 first lens? 13% Part (c) Using the information from part (b), calculate the image distance, in centimeters, from the first lens 13% Part (d) Does the image formed by the first lens serve as a real or a virtual object for the second lens? Go A 13% Part (e) What is the image distance, in centimeters, for the second lens? Grade Summary Deductions 100% Potential Submissions cos0 tano It 7 8 9 Attempts remaining: 15 cotano as acos0 4 5 6 0% per attempt) 1 2 3 detailed view atano acotan( si cosh0 tanho cotanh0 Degrees O Radians Submit Hints: 5% deduction per hint. Hints remaining: 2 Feedback 5% deduction per feedback. A 13% Part (f What is the magnification of the second lens? A 13% Part (g What is the total magnification of this compound optical system?Explanation / Answer
e )
M = di / do = 0.89 / 2.9
M = 0.306
di / do = 0.306
1 / di + 1 / do = 1 / 7.5
1 / di + 1 / 4 di = 0.1333
di = 9.4 cm
do = 21 - 9.4
= 11.6 cm
f = 40.5 cm
1 / di + 1 / 11.6 = 1 / 40.6
di = -17. 36 cm
f )
M = 17.36 / 11.6
M = 1.49
g )
M = M1 M2
= 0.5
h )
Virtual image
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