1) 3.0 m
2) 2.40 m
Explanation:
1)
A concave mirror is a reflecting surface that causes the reflection of the rays of light coming to the mirror, producing an image of the object facing the mirror.
There are two types of mirror:
- Concave mirror: this is curved inward - as a result, the rays of light coming from the object are reflected back into a single point, called focal point
- Convex mirror: this is curved outward - as a result, the rays of light coming from the object are reflected back into diverging direction, not into a single point
For a curved mirror, the radius of curvature is twice the focal length:
[tex]R=2f[/tex]
Where
R is the radius of curvature
f is the focal length
In this problem,
f = 1.50 m
So, the radius of curvature is
[tex]R=2(1.50)=3.0 m[/tex]
2)
The distance of the image from the mirror can be found by using the mirror equation:
[tex]\frac{1}{f}=\frac{1}{p}+\frac{1}{q}[/tex]
where
f is the focal length
p is the distance of the object from the mirror
q is the distance of the image from the mirror
IN this problem we have:
f = 1.50 m is the focal length
p = 4.00 m is the distance of the object from the mirror
Solving for q, we find:
[tex]\frac{1}{q}=\frac{1}{f}-\frac{1}{p}=\frac{1}{1.50}-\frac{1}{4.00}=0.416\\q=\frac{1}{0.416}=2.40 m[/tex]
