Angular Magnification Calculation using a Magnifying Glass

How do we calculate the angular magnification of a magnifying glass?

Given the example of a coin and a magnifying glass (2.0 mm coin letters, placed 3.0 cm from the lens appears to be 4.0 cm away and has height of 2.67 mm), what is the angular magnification of the magnifying glass?

Calculation of Angular Magnification:

The angular magnification of the magnifying glass can be determined by following these steps:

To calculate the angular magnification of a magnifying glass, we use the formula:

Angular Magnification = (Apparent Height of Image) / (Actual Height of Object)

In the given example, the apparent height of the coin letters when viewed through the magnifying glass is 2.67 mm and the actual height of the coin letters is 2.0 mm.

By substituting these values into the formula, we get:

Angular Magnification = 2.67 mm / 2.0 mm = 1.335

Therefore, the angular magnification of the magnifying glass is approximately 1.335.

Understanding the angular magnification of a magnifying glass is essential in determining how much larger an object appears when viewed through the lens.