Concepts Of Physics MCQ Edition [Volume 1]PhysicsGeometrical Optics
A thin lens is constructed from a material with a refractive index of = 1.5 , and both of its sides are convex. When it is immersed in water ( = 1.33 ), it will act as
Options
- Aa divergent lens
- Ba rectangular slab
- Ca convergent lens
- Da prism.
Correct answer
C. a convergent lens
Step-by-step solution
Using the lens maker's formula: 1 f = ( _L _M - 1 ) ( 1 R₁ - 1 R₂ ) For a biconvex lens, R₁ is positive and R₂ is negative, so the term ( 1 R₁ - 1 R₂ ) is positive. Given the refractive index of the lens _L = 1.5 and the refractive index of the surrounding medium (water) _M = 1.33 . Since _L > _M , the relative refractive index _L _M > 1 , making the term ( _L _M - 1 ) positive. Thus, the focal length f remains positive. A lens with a positive focal length acts as a convergent lens. Therefore, the lens continues to