Question

what is linear magnification what is U and V in linear magnification formula​

Answer 1

• linear magnification[m] is defined as the ratio of the height of the corresponding image[h']to the height of an object[h]...
• The linear magnification produced by a spherical mirror is equal to the negative ratio of the image distance[v] to the object distance[u]...
• The linear magnification produced by a spherical lens is equal to the ratio of the image distance to the object distance...

Answer 2

$\Huge\bf\purple{\mid{\overline{\underline{Answer}}}\mid}$

The ratio of the height of the image to the height of the object is known as linear magnification. If the value of ratio is more than unity, then image is magnified; if ratio is equal to unity, then image is of the same size as that of the object; and if ratio is less than unity, then image is diminished.

$\tt \green{Linear\:magnification(m)=\frac{Height\:of\:image(I)}{Height\:of\:object(O)} }$

Mathematically

$\large\tt \orange{m=\frac{I}{O} =-\frac{v}{u} }$

$\begin{lgathered}\bf{where}\begin{cases}\sf{v \dashrightarrow{}distance\:of\:image\:from\:the\:pole\:of\:the\:mirror.}\\ \sf{u \dashrightarrow{}distance\:of\:object\:from\:the\:pole\:of\:the\:mirror.}\end{cases}\end{lgathered}$

The ratio of object length to image length is 1:4. What will be the ratio of distance of object (u) to distance of image (v) from lens?

$\begin{lgathered}\bf{Given}\begin{cases}\sf{Object \dashrightarrow1}\\ \sf{Image \dashrightarrow4}\end{cases}\end{lgathered}$

$\large \tt{\frac{I}{O} =\frac{4}{1}}$

So by linear magnification(m) =$\bf{\frac{I}{O} =\frac{v}{u} }$

$\large \tt{\frac{v}{u} =\frac{4}{1}}$

Thus,

The required ratio is u:v = 1:4.

$\huge{\mathfrak{\orange{hope\; it\; helps}}}$