Question

12) A converging lens with a focal length of 10 cm is separated by 30 cm from a diverging lens with a focal length of 8 cm. An object is placed 20 cm in front of the converging lens as shown below. What is the final position and orientation of the image formed by this two-lens system? A. Upright, 10.0 cm to the left of the diverging lens. B. Inverted, 6.0 cm to the left of the diverging lens. C. Upright, 5.7 cm to the left of the diverging lens. D. Inverted, 4.4 cm to the left of the diverging lens. E. None of the above.

Answer 1

using lens formula for lens converging lens

1/f = 1/v - 1/u

1/10 = 1/v + 1/20

v = 20 cm

now the above image acts as object for lens 2

object distance os which is given by

u' = 30 - 20 = 10 cm

using lens formula for lens 2

- 1/8 = 1/v' + 1/10

v' = 4.4 cm to the left of diverging

option (d) is correct

=====

Comment before rate in case any doubt, will reply for sure.. goodluck