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Question : 12
Total: 26
(i) A giant refracting telescope has an objective lens of focal length 15 m . If an eye piece of focal length 1.0 cm is used, what is the angular magnification of the telescope?
(ii) If this telescope is used to view the moon, what is the diameter of the image of the moon formed by the objective lens ? The diameter of the moon is3.48 × 10 6 m and the radius of lunar orbit is 3.8 × 10 8 m .
(ii) If this telescope is used to view the moon, what is the diameter of the image of the moon formed by the objective lens ? The diameter of the moon is
Solution:
(i) Calculation of angular magnification
(ii) Calculation of image of diameter of Moon
Angular Magnification
m =
=
= 1500
Angular size of the moon = (
)
=
× 10 − 2 radian
Angular size of the image
= (
× 10 − 2 × 1500 ) radian
Diameter of the image
=
× 15 × focal length of eye peice
=
× 15 × 1 cm
= 13.7 cm
(Also accept alternative correct method.)
(ii) Calculation of image of diameter of Moon
Angular Magnification
Angular size of the image
Diameter of the image
(Also accept alternative correct method.)
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