An object and its real image are 2.4 m apart. If the lens producing the image has a 55-cm focal length, what are the possible values for the object distance and magnification?

Mark Mcbride

Mark Mcbride

Answered question

2022-12-02

An object and its real image are 2.4 m apart.
If the lens producing the image has a 55-cm focal length, what are the possible values for the object distance and magnification?

Answer & Explanation

Koen Harvey

Koen Harvey

Beginner2022-12-03Added 6 answers

d 0 + d i = 2.4 m d i = 2.4 d 0 1 f = 1 d 0 + 1 d + i 1 f = 1 d 0 + 1 2.4 d 0 d 0 2 ( 2.4 ) d 0 + 2.4 f = 0 d 0 2 ( 2.4 ) d 0 + ( 2.4 ) ( 0.55 ) = 0 d 0 2 ( 2.4 ) d 0 + 1.32 = 0 d 0 = 154.6 c m ,   85.4 c m d i = 2.4 1.546 = 85.4 c m d i = 2.4 0.854 = 154.6 c m m = d i d o = 85.4 154.6 = 0.55 m = 154.6 85.4 = 1.81

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