In: Physics
A 5.33-mm-high firefly sits on the axis of, and 11.1 cm in front of, the thin lens A, whose focal length is 5.13 cm. Behind lens A there is another thin lens, lens B, with focal length 28.1 cm. The two lenses share a common axis and are 57.9 cm apart. Is the image of the firefly that lens B forms real or virtual?How far from lens B is this image located (expressed as a positive number)?What is the height of this image (as a positive number)?Is this image upright or inverted with respect to the firefly?
Assuming both lenses are converging lenses,
Image formed by first lens will be behind the lens and real since object distance greater than focal length of lens 1.
1/v + 1/u =1/f
u = 11.1
f = 5.13
v = 9.54 cm behind the lens
since both lenses are seperated by distance of 57.9 cm,
distance of image formed by lens 1 from lens 2 = 57.9 - 9.54 = 48.36 cm
This will act as object for lens 2
since object distance is greater than focal length of lens, the image will form behind the mirror.
1/v +1/u = 1/f
u = 48.36
f = 28.1
v = 67.07 cm
The image is Real and located 67.07 cm behind the second lens
Magnification = - v/u for 1 lens
Since the final image is magnified twice
M = - v1/u1 * - v2/u2 = - 9.54/11.1 * - 67.7/48.36 = 1.19
The image formed is upright.
The height of firefly = 1.19 * 5.33= 6.35 mm