To investigate the relationship between u and v for a convex lens.

Prediction

I predict that the values of u two times greater than the focal length of the lens, the image will be diminished and the value for v will be greater than the focal length of the lens but not greater than two times the focal length of the lens. The bigger u the smaller the image and closer to the focal length v is. A simple ray diagram can prove this:

I also predict that the values of v less than two times the focal length but greater than the focal length the image will be magnified and the value for v will be greater than twice the focal length. The closer to the focal length v is the more magnified the image and the bigger the value of v. This can be proved by this diagram:

I also predict that for the values of u less than f a virtual image will be produced as this does not connect u and v there is no point using values of u less than the focal length.

Ideal Results

My Ideal results are on a separate page and were calculated using the formula

/u+1/v=1/f

u= the distance of the object from the lens

v= the distance of the image from the lens

f= the focal length of the lens

I found this formula in my research

(Internet, http:// relativity.phy.olemiss.edu) and is widely accepted as reliable way of finding the focal length of a lens.

Preliminary Investigations

My first preliminary investigation will be to find out which is the focal length of the lens that gives a good range of results for v. Another use for this preliminary is too see how clear the image is.

For a focal length of 5 centimetres

u

v

0

1.5

00

5.238

The image is very small and there is not a clear image. The image is blurred. The differences are very hard to measure. There is not a wide range of results.

Prediction

I predict that the values of u two times greater than the focal length of the lens, the image will be diminished and the value for v will be greater than the focal length of the lens but not greater than two times the focal length of the lens. The bigger u the smaller the image and closer to the focal length v is. A simple ray diagram can prove this:

I also predict that the values of v less than two times the focal length but greater than the focal length the image will be magnified and the value for v will be greater than twice the focal length. The closer to the focal length v is the more magnified the image and the bigger the value of v. This can be proved by this diagram:

I also predict that for the values of u less than f a virtual image will be produced as this does not connect u and v there is no point using values of u less than the focal length.

Ideal Results

My Ideal results are on a separate page and were calculated using the formula

/u+1/v=1/f

u= the distance of the object from the lens

v= the distance of the image from the lens

f= the focal length of the lens

I found this formula in my research

(Internet, http:// relativity.phy.olemiss.edu) and is widely accepted as reliable way of finding the focal length of a lens.

Preliminary Investigations

My first preliminary investigation will be to find out which is the focal length of the lens that gives a good range of results for v. Another use for this preliminary is too see how clear the image is.

For a focal length of 5 centimetres

u

v

0

1.5

00

5.238

The image is very small and there is not a clear image. The image is blurred. The differences are very hard to measure. There is not a wide range of results.