A transparent photographic slide is placed in front of a con

A transparent photographic slide is placed in front of a converging lens with a focal length of 2.53 cm. An image of the slide is formed 11.8 cm from the slide. (a) How far is the lens from the slide if the image is real? (Enter your answers from smallest to largest starting with the first answer blank. Enter NONE in any remaining answer blanks.) cm cm (b) How far is the lens from the slide if the image is virtual? (Enter your answers from smallest to largest starting with the first answer blank. Enter NONE in any remaining answer blanks.) (in cm)

Solution

a)Distances to a real image are positive:
i/u + 1/v = 1/f
i/u = 1/f - 1/v = 1/2.53 - 1/11.8
u = 3.220 cm

b)Distances to a virtual image are negative:
i/u + 1/v = 1/f
i/u = 1/f - 1/v = 1/2.53 + 1/11.8
u = 2.083 cm