Question

An astronomical telescope longer than about 50 cm is not easy to hold by hand. Estimate the maximum angular magnification achievable for a telescope designed to be handheld. Assume its eyepiece lens, if used as a magnifying glass, provides a magnification of 3 × for a relaxed eye with near point 26 cm . Follow the sign conventions.

Answer 1

-4.769x

Step-by-step explanation:

In order to develop the problem it is necessary to bring up the concepts related to Eyepiece or Focal Length of an ocular lens, i. e, the distance from the principal plane of the eyepiece where parallel rays of light converges to a single point. The equation is given by,

`f_e = (N)/(M_e)`

Where,

N= Near point

`M_e=`Magnification

`f_e =`Focal length

By replacing the values we can obtain that:

`f_e = (26)/(3)`

`f_e = 8.667cm`

It is then possible to find the magnification of the telescope with the previous data found through

`M= 1-(l)/(f_e)`

`M= 1- (50)/(8.667)`

`M = -4.769`