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Ugo [173]
3 years ago
15

An object is 25.0 cm from the mirror, its height is 5.0 cm, and focal length is 8.0 cm. What is the distance from the image to t

he mirror? 0.085 cm 1.6 cm 9.8 cm 12 cm
Physics
2 answers:
Vaselesa [24]3 years ago
8 0
The equation needed to solve the problem is
\frac{1}{f} = \frac{1}{d_{o}} + \frac{1}{d_{i}}
where
f = focal length, 8.0 cm
do = object distance, 25.0 cm
di = image distance

Therefore
\frac{1}{8} = \frac{1}{25} + \frac{1}{d_{i}} \\ 0.125 = 0.04 +  \frac{1}{d_{i}} \\  \frac{1}{d_{i}} =0.125-0.04=0.085\\d_{i}= \frac{1}{0.085} =11.765 \, cm
The closest answer is 12 cm.

Answer: 12 cm


Oksana_A [137]3 years ago
3 0
1.) Use the formula to solve - 
             1/f = 1/do + 1/di; Where f = focal length; 1/do + 1/di
             1/f = 1/do + di
            1/8 = 1/25 + 1/?
          .125 = .04 + 1/di
   .125 -.04 = 1/di (transferred .04 to the left side of the equation)
       .085/1 = 1/di
.085di/.085 = 1/.085 (multiplied both sides by di and divided both sides by .085)
               di = 11.76 or 12
2.) Therefore, 12 cm is the distance from the image to the mirror
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