the image formed on a screen by a concave mirror of radius 20 cm is 3 times the size of the object. what is the distance of the screen from the mirror?​

Respuesta :

Given that,

Radius of mirror = 20 cm

Size of image = 3 times of size of object

We need to calculate the distance of the screen from the mirror

Using formula of magnification

[tex]m=-\dfrac{h'}{h}=\dfrac{v}{u}[/tex]

[tex]-\dfrac{h'}{h}=\dfrac{v}{u}[/tex]

Where, h' = size of image

h = size of object  

v = image distance from mirror

u = object distance from mirror

Put the value into the formula

[tex]-\dfrac{3h}{h}=\dfrac{-v}{u}[/tex]

[tex]\dfrac{3}{1}=\dfrac{v}{u}[/tex]

[tex]v=3u[/tex]

The distance of image will three times of object distance.

Hence, The distance of the screen from the mirror is 3u.