Here P = P₁ + P2 = (-4 D) + (2 D) = -2D
Hence, f = 1/p = – 1/2 m = -50 cm.
Class 12 Physics
Chapter 9 Ray Optics and Optical Instruments Session 2024-2025.
Two thin lenses of power – 4D and 2D are placed in contact coaxially. What is the focal length of the combination?
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The power of a lens combination is the sum of the individual powers:
P total = P1+ P2
Here, P1 = −4D and P2 = 2D :
P total = −4+2=−2D
The focal length f is related to the power by
f = 100/P (in cm):
f =100/−2 =−50 cm (or -0.5 m)
Thus, the focal length of the combination is -50 cm.
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