please answer this. please
Answers
Answer:
Answer:
object distance,u=12cm
Given:
Radius of curvature of a concavemirror=36cm
Height of image=3×height of theobject
Focal length of the mirror,f=18cm
To find:
The position of the object
Solution:
It is given that,
height \: of \: the \: image = 3 \times height \: of \: the \: objectheightoftheimage=3×heightoftheobject
hi = 3hohi=3ho
Now,
magnification = \frac{ - v}{u} = \frac{hi}{ho} = \frac{3ho}{ho}magnification=u−v=hohi=ho3ho
m = 3m=3
\frac{ - v}{u} = 3u−v=3
v = - 3uv=−3u
By using the mirror equation,
\frac{1}{f} = \frac{1}{u} + \frac{1}{v}f1=u1+v1
\frac{1}{18} = \frac{ - 1}{3u} + \frac{1}{u}181=3u−1+u1
\frac{1}{18} = \frac{2}{3u}181=3u2
u = 12cmu=12cm
Now,
v = - 3u = - 36cmv=−3u=−36cm
So, When the object placed between thefocus and the pole then the image willget at focal point.The image is virtualerect and magnified image.