For a distant object,the angular magnification of an astronomical telescope is $5$. The distance between the objective and the eyepiece is $36 \, cm$,and the final image is formed at infinity. What are the focal lengths of the objective $(f_o)$ and the eyepiece $(f_e)$?

  • A
    $f_o = 45 \, cm$ and $f_e = -9 \, cm$
  • B
    $f_o = 50 \, cm$ and $f_e = 10 \, cm$
  • C
    $f_o = 7.2 \, cm$ and $f_e = 5 \, cm$
  • D
    $f_o = 30 \, cm$ and $f_e = 6 \, cm$

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An astronomical refracting telescope is being used by an observer to observe planets in normal adjustment. The focal lengths of the objective and eyepiece used in the construction of the telescope are $20\,m$ and $2\,cm$ respectively. Consider the following statements about the telescope:
$(a)$ The distance between the objective and eyepiece is $20.02\,m$.
$(b)$ The magnification of the telescope is $1000$.
$(c)$ The image of the planet is erect and diminished.
$(d)$ The aperture of the eyepiece is smaller than that of the objective.
The correct statements are:

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An astronomical telescope has objective and eye-piece lenses of powers $0.5\, D$ and $20\, D$ respectively. Its magnifying power will be:

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The length of a telescope is $36 \ cm$. The focal lengths of its lenses can be

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