Refraction by Spherical Surfaces: Practice Problem & Solution
Assertion (A): Although the surface of goggles lens are curved, it does not have any power. Reason (R): In case of goggles, both the curved surfaces have equal radius of curvature and have centre of curvature on the same side
Short Solution (Best for NEET):
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:
Protective goggle lenses do not alter vision, implying their optical power is zero. Thus, (A) is true.
The power of a lens is given by \(P = (n-1)(\frac{1}{R_1} - \frac{1}{R_2})\). If the surfaces have equal radii of curvature and their centers are on the same side (as in a meniscus lens where both surfaces curve in the same direction), then \(\frac{1}{R_1} - \frac{1}{R_2} = 0\), resulting in (P = 0). This explains why curved goggle lenses can have no power. Thus, (R) is true and is the correct explanation of (A).
Leave a Reply