$A$ lens of power $+2$ diopters is placed in contact with a lens of power $-1$ diopter. The combination will behave like

  • A
    a convergent lens of focal length $50 \, cm$
  • B
    a divergent lens of focal length $100 \, cm$
  • C
    a convergent lens of focal length $100 \, cm$
  • D
    a convergent lens of focal length $200 \, cm$

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$A$ lens of power $3.5 \, D$ is placed in contact with a lens of power $-2.5 \, D$. The combination behaves as:

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Two plano-convex lenses,each of focal length $10 \, cm$ and refractive index $3/2$,are placed as shown in the figure. The space between them is filled with water $\left( \mu = 4/3 \right)$. The whole arrangement is in air. The optical power of the system is ....... $D$.

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Obtain the equivalent focal length of a combination of thin lenses placed in contact.

Two thin lenses have a combined power of $+9 D$. When they are separated by a distance of $20 \,cm$, their equivalent power becomes $+\frac{27}{5} D$. Their individual powers (in diopters) are respectively:

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