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Q.

Two converging lenses are placed 20.0 cm apart, as shown in figure.  If the first lens has a focal length of 10.0 cm and the second has a focal length of 20.0 cm, locate the final image formed of an object 30.0 cm in front of the first lens.

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a

6.67 cm left of the second lens

b

6.67 cm right of the second lens

c

15.0 cm left of the second lens

d

15.0 cm right of the second lens

answer is A.

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Detailed Solution

Image due first lens130+1v = 1101v = 110−130= 230 = 115V = 15 cmIt’s distance from the 2nd lens is 5cm For second law15+1vf = 1201vf = 120−15 = 1−420vf = −203 = −6.67cm
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Two converging lenses are placed 20.0 cm apart, as shown in figure.  If the first lens has a focal length of 10.0 cm and the second has a focal length of 20.0 cm, locate the final image formed of an object 30.0 cm in front of the first lens.