a concave mirror of diameter 40m is used with a 6cm tall object placed 20 cm from it. Where is the image?
Can you check my solution
Radius(R)=20cm
Distance object(do)=20cm
(2/R)=(1/do)+(1/di)
(1/di)=(2/R)-(1/do)
why do they give you the object height i don't think you need to use it?
To find the location of the image formed by a concave mirror, you can use the mirror formula:
1/f = 1/do + 1/di
Where:
- f is the focal length of the mirror
- do is the distance of the object from the mirror
- di is the distance of the image from the mirror
In this case, the diameter of the mirror is given as 40 cm, which means the radius (R) is 20 cm. However, the object height is also necessary to find the location of the image.
Now, let's calculate the focal length of the mirror first:
Since the mirror is concave, the focal length is positive and can be found using the formula:
f = R/2
f = 20/2 = 10 cm
Now, we can use the mirror formula to find the location of the image:
1/10 = 1/20 + 1/di
Simplifying the equation:
1/di = 1/10 - 1/20
1/di = 2/20 - 1/20
1/di = 1/20
di = 20 cm
Therefore, the image is formed at a distance of 20 cm from the concave mirror.