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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 = ' /