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Sagot :
Answer:
v = 24 cm and inverted image
Explanation:
Given that,
The focal length of the object, f = +8 cm
Object distance, u = -12 cm
We need to find the position &nature of the image. Let v be the image distance. Using lens formula to find it :
[tex]\dfrac{1}{v}-\dfrac{1}{u}=\dfrac{1}{f}[/tex]
Put all the values,
[tex]\dfrac{1}{v}=\dfrac{1}{f}+\dfrac{1}{u}\\\\\dfrac{1}{v}=\dfrac{1}{8}+\dfrac{1}{(-12)}\\\\v=24\ cm[/tex]
So, the image distance from the lens is 24 cm.
Magnification,
[tex]m=\dfrac{v}{u}\\\\m=\dfrac{24}{-12}\\\\m=-2[/tex]
The negative sign of magnification shows that the formed image is inverted.
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