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  • Use the mirror equation to deduce that: a convex mirror always produces a virtual image independent of the location of the object.

Q. 9.15 (b)    Use the mirror equation to deduce that:

                    a convex mirror always produces a virtual image independent of the location of the object.

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In a convex mirror focal length is positive conventionally.

so we have mirror equation

 \frac{1}{f}=\frac{1}{u}+\frac{1}{v}

\frac{1}{v}= \frac{1}{f}-\frac{1}{u}

Here,  since object distance is always negative whenever we put our object in the left side of the convex mirror(which we always do, generally). So     \frac{1}{v}   is always the sum of two positive quantity(negative sign in the equation and negative sign of the u will always make positive) and hence we conclude that v is always greater than zero which means the image is always on the right side of the mirror which means it is a virtual image. Therefore, a convex lens will always produce a virtual image regardless of anything.

 

Posted by

Pankaj Sanodiya

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