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NEET 2023 · Combination of Lenses

Combination of Lenses question from NEET 2023

Q40NEET 2023Medium

Combination of Lenses

In the figure shown here, what is the equivalent focal length of the combination of lenses (Assume that all layers are thin)?

Figure

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Answer: (b)

  1. Three thin lenses in contact: biconvex glass (n1=1.5n_1 = 1.5) and two plano-concave liquid lenses (n2=1.6n_2 = 1.6), all with R=20 cmR = 20\text{ cm}.
  2. Glass: Pg=0.5×220=120P_g = 0.5 \times \frac{2}{20} = \frac{1}{20}; liquid: Pl=−0.6×120P_l = -0.6 \times \frac{1}{20} each.
  3. P=120−1.220=−0.220=−1100 cm−1P = \frac{1}{20} - \frac{1.2}{20} = -\frac{0.2}{20} = -\frac{1}{100}\text{ cm}^{-1}
  4. So the answer is (b) −100 cm-100\text{ cm}.
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