1.

(a) Draw a labelled ray diagram of an astronomical telescope to show the image formation of a distant object. Write the main consideration required in selecting the objective and eyepiece lenses in order to have large magnifying power an dhigh resolution of the telescope. (b) A compound microscope has an objective of focal length 1.25cm and eyepiece of focal lenth 5 cm. A small object is kept at 2.5 cm fromthe objective. If the final image formed is at infinity, find the distance between the objective and the eyepiece.

Answer»

Solution :(a) For diagram
Alternatively ,

For large magnifying power `f_(0) `should be large and `f_(E)` should be small.
For higehr resolution DIAMETER of the objective should be large.
(b) `(1)/( v_(0))- ( 1)/( U _(0)) = ( 1)/( f_(0))`
`(1)/( v_(0)) = ( 1)/( f_(0)) +( 1)/( u_(0)) = ( 1)/( 1.25) - ( 1)/( 2.5) = ( 1)/( 2.5)`
`v_(0) = 2.5 CM`
` L = | f_(0)| +| f_(e)|``( :. v_(0) = f_(0) )`
`= ( 2.5 + 5.0 ) cm = 7.5 cm`


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