~11 : 9 : Please help me answer this question. Item 9 A lighted candle is placed
ID: 1386670 • Letter: #
Question
~11 : 9 : Please help me answer this question.
Item 9 A lighted candle is placed 36 cm in front of a converging lens of focal length fi 13 cm, which in turn is 56 cm in front of another converging lens of focal length fo cm. (Figure 1) Figure 1 V of 1 13 cm f2 16 cm H- 36 cm 56 cm Part A Calculate the position of the final image. Express your answer to two significant figures and include the appropriate units. di 20 beyond the second cm lens Submit My Answers Give Up Incorrect, Try Again, 9 attempts remaining Part B Calculate the relative s of the final image Express your answer using two significant figures. 28.8 Submit My Answers Give Up Incorrect, Try Again, 9 attempts remaining Provide Feedback ContinueExplanation / Answer
Note that
1/f = 1/do + 1/di
where
f = focal length = 13 cm
do = object distance = 36 cm
di = image distance
Thus, solving for di,
di = 20.34782609 cm
Thus, the magnification, m = -di/do,
m = -0.565217391
Thus, for the second lens,
Note that
1/f = 1/do + 1/di
where
f = focal length = 16 cm
do = object distance = 35.65217 cm
di = image distance
Thus, solving for di,
di = 29.0266 cm [ANSWER, PART A]
Thus, the magnification, m = -di/do,
m = -0.814159454
Thus,
mtot = m1 m2 = -0.5652 * -0.81415
= 0.4602 [ANSWER, PART B]
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