Question

Lens maker formula for one plane surface

Answer 1

Explanation:

If

the object is at infinity, the image is formed at the focus of the lens. Thus, for u = ∞, v = f. Then the equation (4) becomes. This is called the lens maker's formula, because it tells what curvature will be needed to make a lens of desired focal length.

Answer 2

Explanation:

The lens maker's formula is given by :

$\dfrac{1}{f}=(\mu -1)(\dfrac{1}{R_1}-\dfrac{1}{R_2})$

f is focal length of the lens

$\mu$ is refractive index

$R_1\ and\ R_2$ are radius of curvature of two surfaces

For one plane surface,

$R_2=\infty\\\\\dfrac{1}{R_2}=\dfrac{1}{\infty}=0$

The lens maker's formula then converted to :

$\dfrac{1}{f}=(\mu -1)(\dfrac{1}{R_1}-0)\\\\\dfrac{1}{f}=\dfrac{(\mu -1)}{R_1}$

Hence, this is the required solution.

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Lens maker formula

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