Please show me how to answer these quetsions, including a quick sketch of questi

Question

Please show me how to answer these quetsions, including a quick sketch of question a), if possible. Much appreciated!!! QUESTION: A 1.00-cm high object is placed 3.00 cm to the left of a converging lens of focal length 8.00 cm. A diverging with a focal length of magnitude 16.00 cm is 6.00 cm to the right of the converging lens.

(a) Draw a ray diagram for this situation and locate the position of the final image. Your diagram must contain all three principal rays for both lenses.

(b) Calculate the position of the final image, relative to the diverging lens.

(c) Calculate the height of the final image.

(d) Is the final image inverted or upright relative to the original object?

(e) Is the final image real or virtual?

Explanation / Answer

lens equation, 1/f = 1/v -1/u

for converging lens

1/8 = 1/v - ( 1/3)

v = -4.8 cm ( it's virtual and errect, )

height of image =- ( -4.8)/3 = hi= 1.6 cm

object distance for diverging lens u = 4.8 + 6 = 10.6 cm

1/f = 1/v -- 1/u

1/16 = 1/v + 1/10.6

v = -31.407 cm apprx ( on the left of dierging lens)

height of final image = - ( -31.407/ 10.6) = hi/ 1.6

hi( final image height) = 4.7407 cm apprx

upright to reraltive object

virtual

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