A typical radius for a raindrop is 2.0mm. Modelling the raindrop as a thin double-convex lens with radii of curvature |r| = 2.0mm, compute the focal length of the lens. Water has an index of refraction of 4/3. Select One of the Following: (a) 0 (b) 1mm (c) 2mm (d) 3mm

Respuesta :

Answer:

option D

Explanation:

given,

radius of curvature of rain drop = r₁ = 2 mm

radius of curvature of convex lens = r₂ = 2 mm

refractive index of water (n) = 4/3

using lens formula to calculate focal length

     [tex]\dfrac{1}{f} = (n-1)(\dfrac{1}{r_1}-\dfrac{1}{r_2})[/tex]

     [tex]\dfrac{1}{f} = (\dfrac{4}{3}-1)(\dfrac{1}{2}-\dfrac{1}{-2})[/tex]

     [tex]\dfrac{1}{f} = (\dfrac{1}{3})(\dfrac{1}{2}+\dfrac{1}{2})[/tex]

     [tex]\dfrac{1}{f} = (\dfrac{1}{3})(1)[/tex]

                  f = 3 mm

hence, the correct answer is option D