Question

drive the lens maker formula ​

Answer 1

What is the formula of lens maker?

derive lens maker's formula. It is a relation that connects focal length of a lens to radii of curvature of the two surfaces of the lens and refractive index of the material of the lens.

Answer 2

Hi baby

of lens maker formula.

Let us consider the thin lens shown in the image above with 2 refracting surfaces having the radii of curvatures R1 and R2 respectively.

Let the refractive indices of the surrounding medium and the lens material be n1 and n2 respectively.

Derivation

The complete derivation of lens maker formula is described below. Using the formula for refraction at a single spherical surface we can say that,

For the first surface,

Derivation Of Lens Maker Formula

For the second surface,

Derivation Of Lens Maker Formula

Now adding equation (1) and (2),

Derivation Of Lens Maker Formula

When u = ∞ and v = f

Derivation Of Lens Maker Formula

But also,

Derivation Of Lens Maker Formula

Therefore we can say that,

Derivation Of Lens Maker Formula

Where μ is the refractive index of the material.

This is the lens maker formula derivation. Check the limitations of the lens maker’s formula to understand the lens maker formula derivation is a better way.

Limitations of the lens maker’s formula

The lens should not be thick so that the space between the 2 refracting surfaces can be small.

The medium used on both sides of the lens should always be same.

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