Answer: 15 cm
Explanation:
According to the Lens Equation we have the following:
[tex]\frac{1}{f}=\frac{1}{v}+\frac{1}{u}[/tex] (1)
Where:
[tex]f=10 cm[/tex] is the focal length
[tex]u=30 cm[/tex] is the distance between the candle (the object) and the lens
[tex]v[/tex] is the distance between the image and the lens
Isolating [tex]v[/tex]:
[tex]v=\frac{uf}{u-f}}[/tex] (2)
Solving:
[tex]v=\frac{(30 cm)(10 cm)}{30 cm-10 cm}}[/tex] (3)
Finally:
[tex]v=15 cm[/tex] This is where the image is located
