If the near-point distance of the jeweler is 22.0 cm, and the focal length of the magnifying glass is 7.70 cm, find the angular magnification when the diamond is held 5.68 cm from the magnifying glass. Assume the magnifying glass is directly in front of the jeweler's eyes.

The angular magnification M = 2.1

Explanation:

If the jeweler holds the diamond at the focal point of the magnifying glass, its image will be produced infinitely far away.

This gives an angular magnification of M = N/f

Since the diamond is held 5.68 cm from the magnifying glass,

Then, M = (N - 5.68)/f

Where N = 22.0 cm and f = 7.7 cm

M = (22 - 5.68)/7.7

M = 2.1

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