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Wave Optics

Question
CBSEENPH12038982

Draw a labelled ray diagram of a refracting telescope. Define its magnifying power and write the expression for it.

Write two important limitations of a refracting telescope over a reflecting type telescope.

Solution

The labelled diagram of a refracting telescope is as shown below:

Magnification power is defined as the ratio of the angle () subtended by the final image on the eye to the angle () subtended by the object on eye.

The mathematical formula is given by,
straight M thin space equals space fraction numerator tan space straight beta over denominator tan space straight alpha end fraction space equals space open parentheses straight beta over straight alpha close parentheses 
Also, it is given by,

Magnifying space power comma space straight M space equals space fraction numerator negative space straight f subscript straight o over denominator straight f subscript straight e end fraction space

space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals space fraction numerator negative space straight f subscript straight o over denominator straight f subscript straight e end fraction space open parentheses 1 space plus space straight f subscript straight e over straight D close parentheses

Limitations of refracting telescope over a reflecting telescope are:

 (i) Image is not free from chromatic aberration and spherical aberration.

 (ii) Aperture of the objective lens should be large for high resolving power.

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