An object is placed 30 cm to the left of a converging lens of focal length 10 cm. A diverging lens of focal length ?15 cm is 20 cm to the right of the converging lens. Where is the final image relative to the second lens? Please show all steps used.

neudateaLp

neudateaLp

Answered question

2022-11-30

An object is placed 30 cm to the left of a converging lens of focal length 10 cm. A diverging lens of focal length ?15 cm is 20 cm to the right of the converging lens. Where is the final image relative to the second lens? Please show all steps used.

Answer & Explanation

Zoey Cole

Zoey Cole

Beginner2022-12-01Added 8 answers

for the conferging lens :
d i = ( d o f ) ( d o f )
= ( 30 10 ) ( 30 10 ) = 15 c m ( at front of the converging lans)
for the diverging lens :
d o = 15 + 20 = 35 c m d i = ( d o f ) ( d o f ) = ( 35 ( 15 ) ) ( 35 ( 15 ) ) = 10.5 c m ( at front of the diverging lens) -> it's the position of the final image)
the height of the final image:
h h = l d i d o l l d i d o l h 1 = ( 15 30 ) ( 10.5 35 ) h = 0.15 c m

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