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

a convergent lens of focal length 50 cm

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a divergent lens of focal length 100 cm

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a convergent lens of focal length 100 cm

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a convergent lens of focal length 200 cm

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Solution

The correct option is C a convergent lens of focal length 100 cm
$P = P_{1} + P_{2} = + 2 - 1 = + 1$ diopter, lens behaves as convergent
$F = \frac{1}{P} = \frac{1}{1} = 1 m = 100 c m$

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

The correct option is C a convergent lens of focal length 100 cmP=P1+P2=+2−1=+1 diopter, lens behaves as convergentF=1P=11=1m=100cm

The correct option is C a convergent lens of focal length 100 cm
$P = P_{1} + P_{2} = + 2 - 1 = + 1$ diopter, lens behaves as convergent
$F = \frac{1}{P} = \frac{1}{1} = 1 m = 100 c m$