Two converging lenses with focal lengths of 40 cm and 20 cm are 14 cm apart. A 4

Question

Two converging lenses with focal lengths of 40 cm and 20 cm are 14 cm apart. A 4.0 cm -tall object is 11 cm in front of the 40 cm -focal-length lens.

Two converging lenses with focal lengths of 40 cm and 20 cm are 14 cm apart. A 4.0 cm -tall object is 11 cm in front of the 40 cm -focal-length lens. Part A Calculate the image position. Express your answer using two significant figures. cm from the object Submit My Answers Give U Part B Calculate the image height. Express your answer using two significant figures. cm.

Explanation / Answer

here f1 = 40 cm = 0.4 m f2 20 cm = 0.2 m do = 11cm = 0.11 m   

as we know that

for first lens 1 / f1 = 1 / do1 + 1 / di1

1 /di1 = 1 / 0.4 - 1 / 0.11

1 / di1 = - 6.5909

di1 = - 0.1517 m

the image of first lens is made the object of second lens

so the distance of object of second lens

d02 = 0.4 - 0.1517 = 0.248 m

now as we know that

1 / f2 = 1 / do2 + 1 / di2

1 / di2 = 1 / 0.2 - 1 / 0.248

di2 = 1.033 m Ans

as we know that

m = - di1 / do1 = hi1 / ho1

= 0.1517 / 0.11 = hi1 / 0.04

hi1 = 0.05516 m Ans

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