Please include ALL mathematical and conceptual steps so I canunderstand. A teles

Question

Please include ALL mathematical and conceptual steps so I canunderstand. A telescope has an eyepiece with a focal length of17 mm. If the length of the tube is1.9 m, what is the angularmagnification of the telescope when it is focused for an object atinfinity?
X
Please include ALL mathematical and conceptual steps so I canunderstand. A telescope has an eyepiece with a focal length of17 mm. If the length of the tube is1.9 m, what is the angularmagnification of the telescope when it is focused for an object atinfinity?
X

Explanation / Answer

When a telescope is focussed for an object at infinity, thefirst image fored by the objective lens is formed at the focalplane of the eyelens. That is, the distance fro the image to theeyelens is = its focal length, f. Then, if F is the focal length of the objectivelens,       F + f = L the length of thetube. So, F = L - f = 1.9 - 0.017 = 1.883 Magnification,           = F/f=1.883/0.017 = 110.8 = 111.

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