You’re using a concave lens with f = -5.4 cm to read 4.7 mm high newspaper type.
ID: 1513559 • Letter: Y
Question
You’re using a concave lens with f = -5.4 cm to read 4.7 mm high newspaper type.
Part A
How high do the type characters appear if you hold the lens 1.0 cm from the newspaper?
4.0mm (Correct)
Part B
How high do the type characters appear if you hold the lens 3.6 cm from the newspaper?
Express your answer to two significant figures and include the appropriate units.
Part C
How high do the type characters appear if you hold the lens 12 cm from the newspaper?
Express your answer to two significant figures and include the appropriate units.
Explanation / Answer
A) f = - 5.4 cm
Applying lens equation,
do = 1cm
1/f = 1/do + 1/di
1/-5.4 = 1/1 + 1/di
di =- 0.844 cm
m = hi./ ho = -di/do
hi / 4.7 = - (-0.844) / (1)
hi = 3.97 mm
B) 1/-5.4 = 1/3.6 + 1/di
di = - 2.16 cm
hi / 4.7 = - (-2.16 / (3.6)
hi =2.82 mm
c) 1/-5.4 = 1/12 + 1/di
di = - 3.72 cm
hi / 4.7 = - (-3.72 / 12)
hi =1.46 mm
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