An astronomical telescope is being used to examine a relativelyclose object that
ID: 1746669 • Letter: A
Question
An astronomical telescope is being used to examine a relativelyclose object that is only 121.00 m away from the objective of thetelescope. The objective and eyepiece have focal lengths of 1.770and 0.0520 m, respectively. Noting that the expression M =fo/fe is no longerapplicable because the object is so close, use the thin-lens andmagnification equations to find the angular magnification of thistelescope.An astronomical telescope is being used to examine arelatively close object that is only 121.00 m away from theobjective of the telescope. The objective and eyepiece have focallengths of 1.770 and 0.0520 m, respectively. Noting that theexpression M =fo/fe is no longerapplicable because the object is so close, use the thin-lens andmagnification equations to find the angular magnification of thistelescope.Explanation / Answer
from the theory we get the thin lens equation as (1 / di) = (1 / fo) - (1 /do) =(1 / 1.770 m) - (1 / 121.00 m) di = ........ m now the magnification will be M = - (di / do) = - (di /121.00 m) now we use this first image as an object for thesecond lens (1 / di') = (1 / fe) - (1 /do') =(1 / 0.0520 m) - (1 / do') di' = ........ m in this case the magnification will be M ' = - (di' / do') the total magnification will be M1 = M M' the angular magnification is then ' = - (hi' /di') = ho / (do+ fo + fe) Mang = ' /