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Question -

(a) For the telescopedescribed in Exercise 9.34 (a), what is the separation between the objectivelens and the eyepiece?

(b) If this telescope isused to view a 100 m tall tower 3 km away, what is the height of the image ofthe tower formed by the objective lens?

(c)What is the height of the final image of the tower if it is formed at 25 cm?



Answer -

Focal length of the objective lens, fo = 140 cm

Focal length of the eyepiece, fe = 5 cm

(a) In normal adjustment, the separation between theobjective lens and the eyepiece 

(b) Height of the tower, h1 = 100 m

Distance of the tower (object) from thetelescope, u = 3 km = 3000 m

The angle subtended by thetower at the telescope is given as:

The angle subtended by theimage produced by the objective lens is given as:

Where,

h2 = Height of theimage of the tower formed by the objective lens

Therefore, the objectivelens forms a 4.7 cm tall image of the tower.

(c) Image is formed at adistance, d = 25 cm

The magnification of theeyepiece is given by the relation:

Height of the final image

Hence,the height of the final image of the tower is 28.2 cm.

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