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Q.

A thin convex lens of focal length 10cm and refractive index 1.5 is cut vertically into two equal pieces. They are placed as shown with a liquid of refractive index 3 between them. What is the focal length of the combination?

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a

-10cm

b

-10/4cm

c

-10/3cm

d

None

answer is C.

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Detailed Solution

1f=(μ−1)(1R1−1R2)⇒R=10 cmf'=(3−1)(1−10−110)⇒f'=−1041feq=120−410+120=220−410⇒feq=−103 cm
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A thin convex lens of focal length 10cm and refractive index 1.5 is cut vertically into two equal pieces. They are placed as shown with a liquid of refractive index 3 between them. What is the focal length of the combination?