Question

what is the formula of lens makers at one plane surface area????​

Answer 1

ANSWER

Lens maker formula for convex lens.

$\:\:\:\: \: \large\mathfrak{\underline{\huge\mathcal{\bf{\boxed{\boxed{\large\mathcal{ \frac{1}{f} = (u - 1)( \frac{1}{r1} - \frac{1}{r2} )}}}}}}}$

now. for plano -convex lens.......

r2➝∞

therefore.....1/r2=1/∞=0

therefore.....the formula of lens makers at one plane surface area

$\frac{1}{f} = (u - 1)( \frac{1}{r1} ) \\ = > \frac{1}{f} = \frac{u - 1}{r1} \\ now \: ..let..r1 = r \\ \frac{1}{f} = \frac{u - 1}{r}$

$\:\:\:\: \: \large\mathfrak{\underline{\huge\mathcal{\bf{\boxed{\boxed{\large\mathcal{\frac{1}{f} = \frac{u - 1}{r} }}}}}}}$