Double-convex len

Given Data:

Refractive index of glass, μ = 1.55

Focal length of the double-convex lens, f = 20 cm

Consider,

Radius of curvature of one face of the lens = R1

Radius of curvature of the other face of the lens = R2

Radius of curvature of the double-convex lens = R

Since it is mentioned that both faces are of the same radius,

R1 = R and R2 = -R

The value of R can be calculated as: t … (1)

(Explanation: The above formula is generated by the ray diagram of the double convex lens. )

Substituting the given data in the equation (1), we get,  R = 0.55 × 2 × 20

R = 22 cm

Hence, the radius of curvature of the double-convex lens is 22 cm.

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