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Question -

Answer the followingquestions:

(a) The angle subtended at theeye by an object is equal to the angle subtended at the eye by the virtualimage produced by a magnifying glass. In what sense then does a magnifyingglass provide angular magnification?

(b) In viewing through amagnifying glass, one usually positions one’s eyes very close to the lens. Doesangular magnification change if the eye is moved back?

(c) Magnifying power of asimple microscope is inversely proportional to the focal length of the lens.What then stops us from using a convex lens of smaller and smaller focal lengthand achieving greater and greater magnifying power?

(d) Why must both theobjective and the eyepiece of a compound microscope have short focal lengths?

(e) When viewing through acompound microscope, our eyes should be positioned not on the eyepiece but ashort distance away from it for best viewing. Why? How much should be thatshort distance between the eye and eyepiece?



Answer -

(a)Though the image size isbigger than the object, the angular size of the image is equal to the angularsize of the object. A magnifying glass helps one see the objects placed closerthan the least distance of distinct vision (i.e., 25 cm). A closer objectcauses a larger angular size. A magnifying glass provides angularmagnification. Without magnification, the object cannot be placed closer to theeye. With magnification, the object can be placed much closer to the eye.

(b) Yes, the angularmagnification changes. When the distance between the eye and a magnifying glassis increased, the angular magnification decreases a little. This is because theangle subtended at the eye is slightly less than the angle subtended at thelens. Image distance does not have any effect on angular magnification.

(c) The focal length of aconvex lens cannot be decreased by a greater amount. This is because makinglenses having very small focal lengths is not easy. Spherical and chromaticaberrations are produced by a convex lens having a very small focal length.

(d) The angular magnificationproduced by the eyepiece of a compound microscope is 

Where,

fe = Focal length ofthe eyepiece

It can be inferred that if fe is small, thenangular magnification of the eyepiece will be large.

Theangular magnification of the objective lens of a compound microscope is givenas 

Where,

 = Object distancefor the objective lens

 = Focal length ofthe objective

Themagnification is large when >. In the case of a microscope, the object iskept close to the objective lens. Hence, the object distance is very little.Since is small,  will be even smaller. Therefore, and  are both small inthe given condition.

(e)When we place our eyes tooclose to the eyepiece of a compound microscope, we are unable to collect muchrefracted light. As a result, the field of view decreases substantially. Hence,the clarity of the image gets blurred.

Thebest position of the eye for viewing through a compound microscope is at theeye-ring attached to the eyepiece. The precise location of the eye depends onthe separation between the objective lens and the eyepiece.

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