Problem 23.45 Part A An 107-mm-focal-length lens is used to focus an image on th

Question

Problem 23.45 Part A An 107-mm-focal-length lens is used to focus an image on the sensor of a camera. The maximunm distance allowed between the lens and the sensor plane is 139 mm How far in front of the sensor should the lens (assumed thin) be if the object to be photographed is 10.0 m away from the lens? Follow the sign conventions Express your answer to three significant figures and include the appropriate units dil = 1 Value Units Submit My Answers Give Up Part B How far in front of the sensor should the lens (assumed thin) be if the object to be photographed is 3.0 m away from the lens? Follow the sign conventions Express your answer to two significant figures and include the appropriate units di2= 1 Value Units Submit My Answers Give Up

Explanation / Answer

A)

1/di + 1/do = 1/f

di = dof / (do - f)

in this case, do = 10m and f = 107 mm = 0.107 m

di = (10m*0.107m) / (10m - 0.107m)

di = 0.108 m

b)

do = 3m

di = (3m*0.107m) / (3m - 0.107m)

di = 0.111 m

c)

do = 1m

di = (1m*0.107m) / (1m - 0.107m)

di = 0.1198 m

d)

1/domin + 1/dimax = 1/f

domin = dimax*f / (dimax - f)

domin = (0.139m*0.107m) / (0.139m - 0.107m)

domin = 0.465 m

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