Lens magnification from object-image distances

Steps:

• Identify object distance u and image distance v from the scale diagram (u = 6.0 cm, v = 12.0 cm).
• Apply lens formula: 1/f = 1/v - 1/u, confirming f = 4.0 cm (1/4 = 1/12 - 1/-6).
• Calculate linear magnification m = |v/u| = 12/6 = 2.0.
• Object height is irrelevant for m calculation using distances.

Why C is correct:

• Magnification m = |v/u| = 2.0 by lens formula definition for transverse size ratio.

Why the others are wrong:

• A: 0.5 implies inverted minification, but diagram shows enlargement (v > 2f).
• B: 1.5 mismatches |v/u| ratio from diagram distances.
• D: 6.0 equals object height, confusing it with magnification factor.

Final answer: C