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JEE PYQ: Ray Optics Question 29

Question 29 - 2020 (08 Jan Shift 2)

An object is gradually moving away from the focal point of a concave mirror along the axis of the mirror. The graphical representation of the magnitude of linear magnification ($m$) versus distance of the object from the mirror ($x$) is correctly given by

(1) [Graph 1]

(2) [Graph 2]

(3) [Graph 3]

(4) [Graph 4]

Show Answer

Answer: (3)

Solution

Using mirror formula, magnification is given by $m = \frac{f}{u - f} = \frac{-1}{1 - \frac{u}{f}}$ At focus magnification is $\infty$ And at $u = 2f$, magnification is 1. Hence graph (4) correctly depicts ‘$m$’ versus distance of object ‘$x$’ graph.


Learning Progress: Step 29 of 53 in this series