Q. 244.8( 4 Votes )

# Find the radii of curvature of a convexo- concave convergent lens made of glass with refractive index n-1.5 having focal length of 24cm. One of the radii of curvature is double the other.

Answer :

Using formula: Lens Maker’s Formula:

f = focal length

R_{1} = radius of curvature of the lens surface closer to the source of light

R_{2} = radius of curvature of the lens surface farther to the source of light

n = Refractive index

Given: focal length (f) = 24 cm

One of the radii of curvature is double the other that is if R_{1} = R then R_{2} = 2R

n = Refractive index = 1.5

For convexo-concave lens both the radii are positive.

2R = 0.5 × 24

R = 12/2 = 6cm

R1 = R = 6 cm

R2 = 2R = 12 cm

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