Question

Which shows the correct magnification equation?

Answer 1

For a concave mirror, magnification equation is given as

m = h2/h1 = d2/d1

Where h2 = image height
h1 = object height
d2= image distance
d1= object distance

Answer 2

Answer:

The equation can be written mathematically as  

$\bold{M=\frac{H_{i}}{H_{o}}=-\frac{D_{i}}{D_{o}}}$

Explanation:

Magnification is defined as the change in the ‘size of the image’ formed of an object to its original size. It is a process of enlarging the ‘apparent size’ or the virtual size of the image and not the original object. The magnification can be calculated by the ‘ratio of height of the image’ formed to the ‘height of the original object’.  

The equation can be written mathematically as  

$\bold{M=\frac{H_{i}}{H_{o}}=-\frac{D_{i}}{D_{o}}}$

Here, $\mathrm{H}_{\mathrm{i}}$ is the ‘height of the image’ formed and $\mathrm{H}_{0}$ is the height of the original object. While, $\mathrm{D}_{\mathrm{i}}$ is the ‘distance between the image’ formed and the lens and $\mathrm{D}_{\mathrm{0}}$ is the distance between the original ‘object and the lens’.

If the ‘magnification’ is less than 1 then that means the image is not enlarged from the original size and the image got reduced from the original size. If the ‘magnification’ is more than 1 then it means the image got enlarged from the original size.