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An object is placed 30mm in front of a lens. An image of the object is located 90mm behind the lens.

a) Is the lens converging or diverging? explain.

b) What is the focal length of the lens?

c) Draw a diagram with lens at x=0, locate the image.

d) Is the image real or virtual?
Is it smaller, larger, or same size as the object?
Is it inverted or upright in comparison to the object?

e)the lens is replaced by a concave mirror with focal lenght 20 mm. Draw the mirror at position x=0 so that a real image is formed. Draw at least two rays and locate the image to show this situation.

f) If the object height is 15 mm, calculate the height of the image and the magnification of the mirror.

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