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You desire to observe details of the Statue of Freedom, the sculpture by Thomas Crawford that is the crowning feature of the dome of the United States Capitol in Washington, D.C. For this purpose, you construct a refracting telescope, using as its objective a lens with focal length 89.7 cm. In order to acheive an angular magnification of magnitude 5.53 , what focal length f e should the eyepiece have?

Respuesta :

Answer:[tex]f_e=16.22\ cm[/tex]

Explanation:

Given

Focal length of objective lens is [tex]f_o=89.7\ cm[/tex]

angular magnification is [tex]m_a=-5.53[/tex]

Angular magnification depends on the focal length of objective and eye piece

i.e.

[tex]m_a=-\frac{f_o}{f_e}[/tex]

[tex]f_e=-\frac{f_o}{m_a}[/tex]

[tex]f_e=-\frac{89.7}{-5.53}[/tex]

[tex]f_e=16.22\ cm[/tex]

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