How to Calculate Angular Magnification of a Diamond with a Magnifying Glass

How to find the angular magnification of a diamond using a magnifying glass?

What is the formula to calculate angular magnification?

Formula for Angular Magnification

The formula for angular magnification is M = 1 + (d/f), where M is the angular magnification, d is the near-point distance of the jeweler, and f is the focal length of the magnifying glass.

When an object is viewed through a magnifying glass, it appears larger than its actual size. The magnification of the object depends on the focal length of the magnifying glass and the distance between the object and the lens.

In this question, we are given the near-point distance of the jeweler (d) and the focal length of the magnifying glass (f). Using the formula for angular magnification, we can calculate the magnification of the diamond when it is held at the focal point of the magnifying glass.

The formula for angular magnification is M = 1 + (d/f), where M is the angular magnification, d is the near-point distance of the jeweler, and f is the focal length of the magnifying glass.

Substituting the given values, we get M = 1 + (22.4/7.90) = 3.83. This means that the diamond will appear 3.83 times larger when viewed through the magnifying glass compared to when viewed with the naked eye.