CBSE Class 12-science Answered
a thin stick of length f/5 is placed along principle axis of a concave mirror of focal length f such that it's image which is real and elongated just touches the stick .what is the magnification
Asked by amishavasave56.12dgatl | 27 Aug, 2021, 17:25: PM
![](https://images.topperlearning.com/topper/tinymce/imagemanager/files/6efc40f43c028ff22887b02a511056dd6129a13d5b4b52.52075977f2.png)
Let u be the distance between pole of concave mirror and front edge of the rod.
It is given that real and elongated image is obtained . Hence the front edge of the rod is
between F and 2F. Since it is given that image touches the rod , mirror-to-image distance
is ( u + ( f/5) ] as shown in figure because length of rod is f/5 .
we have mirror equation, (1/v) + (1/u) = 1/f
![begin mathsize 14px style fraction numerator 1 over denominator open parentheses u plus begin display style f over 5 end style close parentheses end fraction space plus space 1 over u space equals space 1 over f end style](https://images.topperlearning.com/topper/tinymce/cache/199439833fee9ca6275a790f083fe6c7.png)
From above expression , we get a quadratic equation , 5 u2 - 9f u - f2 = 0
From above quadratic expression we express u in terms of f as , u = 1.9 f
Magnification M = v / u
![begin mathsize 14px style M space equals space fraction numerator u space plus space 0.2 space f over denominator u end fraction space equals space fraction numerator 1.9 f space plus 0.2 f over denominator 1.9 end fraction space equals space 1.1 end style](https://images.topperlearning.com/topper/tinymce/cache/a5947cacc974dc1464563b9ab9f3dc89.png)
Answered by Thiyagarajan K | 28 Aug, 2021, 08:33: AM
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