Going beyond the telescope

Classical Mechanics Level 4

Imagine a glass rod placed in air has a refractive index of \(1.5\) and a length of \(45 \text{ cm}\). One end of the rod is shaped as a convex surface with radius of curvature \({ R }_{ 1 }=10 \text{ cm}\). Suppose we would like to use it to make our very own telescope from this glass rod, how should the other end be shaped? Be as precise as possible in your answer.

Details and Assumptions:

  1. For those who are unaware of the working principle of the telescope, it will allow a far away or distant object along the principle axis to have its image formed within the telescope system.

  2. The answer computed should be rounded to the nearest integer.


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