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Q. From a spherical mirror, the graph of $1/v$ vs $1/u$ is

Ray Optics and Optical Instruments

Solution:

$ \frac{1}{v}+\frac{1}{u}=\frac{1}{f} .$ If $y=\frac{1}{v}$ and $x=\frac{1}{u} \Rightarrow y+x=c$
where $c=\frac{1}{f}$ is a straight graph with a -ve slope.