Problem 25.46 Calculate the total magnification Express your answer using three
ID: 1776939 • Letter: P
Question
Problem 25.46 Calculate the total magnification Express your answer using three significant figures A microscope has a 12.0 × eyepiece and a 60.0 × objective lens 20.0 cmapart. Assume a normal eye and that the final image is at infinity M= Submit My Answers Give Up Part B Calculate the focal length of the eyepiece lens Express your answer to two significant figures and include the appropriate units. eValue Units Submit My Answers Give Up Part C Calculate the focal length of the objective lens. Express your answer to three significant figures and include the appropriate units = | Value Units Submit My Answers Give Up Part D Where the object must be for a normal relaxed eye to see it in focus? Express your answer to three significant figures and include the appropriate units 1 Value Units Submit My Answers Give UpExplanation / Answer
given that
magnification of objective lens Mo = 60
magnification of eyepiece lens Me = 12
distance between two lenses l = 20 cm
(a)
total magnification M = Mo * Me = 60*12 = 720
(b)
focal length of eyepiece lens
fe = N/Me
where N is near point which is 25 cm for microscope.
fe = 25/12 = 2.08 cm
(c)
di = l - fe
where
di = image distance
l = distance b/w two lenses = 20 cm
fe = 2.08 cm. so
di = 20cm - 2.08 cm = 17.92 cm
objective lens distance do = di / Mo = 17.92 / 60 = 0.29 cm
focal length of objective lens
fo = di *do /di+do
fo = 17.92*0.29 / 17.92+0.29 = 0.28 cm
(d)
the objective lens distance
do = di / Mo = 17.92 / 60 = 0.29 cm
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