1.

(a) With the help of a suitable ray diagram, derive the mirror formula for a concave mirror. (b) The near point of a hypermetropic person is 50 cm from the eye. What is the power of the lens required to enable the person to read clearly a book held at 25 cm from the eye ?

Answer»

Solution :(c ) `f_(0)=1.25cm`
`f_(0)=5CM`
`u_(0)=-2.5cm`
`(1)/(f_(0))=(1)/(v_(0))-(1)/(u_(0))`
`(1)/(v_(0))=(1)/(f_(0))+(1)/(u_(0))=(1)/(1.25)+((-1)/(2.5))`
`=(1)/(1.25)-(10)/(25)`
`v_(0)=2.5cm`
As the final image is formed at infinity, it means thatthe object must be placed at the focus of eyepiece.
Therefore, the DISTANCE between objective lens and eyepiece
`=v_(0)+f_(E)`
`=2.5+5`
`=7.5cm`


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