From the lens equation calculate the position of the following images produced by a convex lens. Draw a ray diagram in each case and state whether the image are real or virtual and also if they are
upright or inverted
a. U= 5 cm and f= 2 cm
b. u = 10mm; f = 15mm
c. u = 3 cm ; f = 4 cm

Calculate the position of the images formed by the following concave lenses.
a. For an object with u = 6 cm if the focal length is - 2 cm
b. For an object with u = 4 cm if the focal length is -8 cm
c. For an object with u = 240mm if the focal length is - 8 cm

Explanation:

(i)

O is the object and I is the image.

The image formed is enlarged and it is erect. So the magnification will be positive (+) and greater than 1.

Refer above image. 1

(ii)

O is the object and I is the image.

The image formed is diminished and erect. So the magnification will be positive (+) and less than1.

Refer above image. 2

(iii)

The image will be formed as the 2F on the other side of the lens and it will be of same of the object.

a charge 3q is at the origin, and a charge −2q is on the positive x axis at x=a. part a where on the x-axis would you place a third charge so it would experience no net electric force? enter an expression for the exact answer, which will involve a square-root sign. (do not enter an approximate decimal answer.)