A convex (converging) lens produces a real, inverted image of an object that is magnified 2.20 times when the object is 43.0 cm from the lens. What is the focal length of the lens? (cm)

Respuesta :

Answer:29.56 cm

Explanation:

Given

magnification is 2.2

Object distance(u)=43 cm

and we know

[tex]m=-\frac{v}{u}[/tex]

[tex]2.2=-\frac{v}{-43}[/tex]

[tex]v=43\times 2.2=94.6 cm[/tex]

And focal length of convex lens is given by

[tex]\frac{1}{f}=\frac{1}{v}+\frac{1}{u}[/tex]

[tex]\frac{1}{f}=\frac{1}{94.6}+\frac{1}{43}[/tex]

f=29.56 cm