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  • An object is placed at the focus of concave lens having focal length . What is the magnification and distance of the image from the optical centre of the lens ?  Opti

An object is placed at the focus of concave lens having focal length f. What is the magnification and distance of the image from the optical centre of the lens ?
 
Option: 1 \frac{1}{4}, \frac{f}{4}
Option: 2 \frac{1}{2}, \frac{f}{2}
Option: 3 Very\: \: high, \infty
Option: 4 1, \infty

Answers (1)

best_answer


By lens equation,
 \frac{1}{v}-\frac{1}{u}= \frac{1}{f}
\frac{1}{v}-\frac{1}{\left ( -f \right )}= \frac{1}{\left ( -f \right )}
\frac{1}{v}= \frac{-2}{f}\Rightarrow v= \frac{-f}{2}
m= \frac{v}{u}= \frac{f}{f+u}= \frac{-f}{-f+\left ( -f \right )}
m= \frac{1}{2}
The correct option is (2)

Posted by

vishal kumar

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