Rankers Physics

Refraction by Spherical Surfaces: Practice Problem & Solution

If a convex lens of focal length $80 cm$ and a concave lens of focal length $50 cm$ are combined together, what will be their resulting power? (1996)
+7.5 D
-0.75 D
+6.5 D
-6.5 D

Solution Explained:

To solve this problem, we apply the core principles of Refraction by Spherical Surfaces. Understanding the underlying formula is key to arriving at the correct answer below:

The powers of the lenses are $P_1 = \frac{100}{80} = 1.25 D$ and $P_2 = \frac{100}{-50} = -2.0 D$. The resulting power of the combination is $P = P_1 + P_2$. $P = 1.25 - 2.0 = -0.75 D$.

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