If a real and inverted image is formed by a convex lens on a screen 20 cm away from the lens, and the object is placed 30 cm from the lens, what is the focal length of the lens according to the lens formula?
The focal length is 12 cm
Convex lens: object distance u = −30 cm, image distance v = +20 cm (real image on screen).
Lens formula: \(\frac{1}{f} = \frac{1}{v} - \frac{1}{u} = \frac{1}{20} - \frac{1}{-30} = \frac{1}{20} + \frac{1}{30}\).
\(\frac{1}{f} = \frac{3 + 2}{60} = \frac{5}{60} = \frac{1}{12}\).
So f = 12 cm.
Hence, The focal length is 12 cm.
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