How to Calculate Magnification and Image Distance with a Magnifying Glass

Magnification Calculation:

Magnification (m) is defined as the ratio of the height of the image produced by a lens to the height of the object being viewed. It can be calculated using the formula:

m = v/u (where v is the image distance and u is the object distance)

Image Distance Calculation:

The image distance can be determined using the lens formula:

1/f = 1/v - 1/u (where v is the image distance, u is the object distance, and f is the focal length of the lens)

Given that the focal length is 15 cm and the stamp is placed 10 cm above the magnifying glass, we can solve for the image distance and magnification.

Calculation Steps:

1. Let the object distance, u, be -10 cm (since the stamp is placed 10 cm above the magnifying glass).
2. Let the focal length of the lens, f, be 15 cm.
3. Calculate the magnification using the formula m = v/u.
4. Determine the image distance using the lens formula 1/f = 1/v - 1/u.
5. Solve for the image distance and magnification values.
6. Interpret the results to understand the location of the image relative to the magnifying glass and stamp.

By following these steps and applying the given values, you can accurately calculate the magnification and image distance when using a magnifying glass with specific parameters.