All Problems

Photometry and Geometrical Optics

Problem 5.46

A Keplerian telescope with magnification \(\Gamma=15\) was súbmerged into water which filled up the inside of the telescope. To make the system work as a telescope again within the former dimensions, the objective was replaced.What has the magnification of the telescope become equal to? The refractive index of the glass of which the ocular is made is equal to \(n=1.50\).

Reveal Answer
Γ=(Γ+1)nn0n0(n1)1=3.1, where n0 is the refractive index of water\Gamma^{\prime}=(\Gamma+1) \frac{n-n_{0}}{n_{0}(n-1)}-1=3.1, \text { where } n_{0} \text { is the refractive index of water}