You place an object 30.0 cm from a concave mirror of 15.0 cm focal length. The object is 1.8 cm tall. Find the image position and image height.

Question

asked Feb 16, 2021 132k views

1 Answer

Bulletmagnet · Answer 1 · 2021-02-21T03:11:09+0000

Answer:30 cm

Step-by-step explanation:

Given

object distance
$u=30\ cm$

focal length of concave mirror
$f=15\ cm$

height of object
$h_o=1.8\ cm$

Using mirror formula

$\Rightarrow (1)/(v)+(1)/(u)=(1)/(f)$

$\Rightarrow (1)/(v)=(1)/(15)-(1)/(30)$

$\Rightarrow (1)/(v)=(2-1)/(30)$

$\Rightarrow v=30\ cm$

and magnification is

$\Rightarrow m=(-v)/(u)=(h_i)/(h_o)$

$\Rightarrow (-30)/(30)=(h_i)/(1.8)$

$\Rightarrow h_i=-1.8\ cm$

So height of object is same as of object .

Position :image is formed at the spot where object is placed.