Derive Newton's formula for thin lens.

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Solution

Newton law states that
$f_{1} \times f_{2} = x_{1} \times x_{2}$
if $R_{2} = - R_{1} = R$ & $f_{2} = - f_{1} = f$ then,
$x_{1} \times x_{2} = - f^{2}$
Law: The product of distance of object and image from respective foci is equal to the product of focal length

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