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  4. A lens of power +2 dioptres is placed in contact with a lens of power -1 dioptre. The combination will behave like

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

Ray Optics and Optical Instruments

Solution:

$\frac{1}{f}-\frac{1}{f_{1}}+\frac{1}{f_{2}}=\frac{P_{1}}{100}+\frac{P_{2}}{100}=\frac{1}{100} \Rightarrow f=100 \,cm$
$\therefore $ A convergent lens of focal length $100 \,cm$.