what is the importance of centre of curvature in spherical mirror.
Answers
Rays of light parallel to the principal axis of a concave mirror will appear to converge on a point in front of the mirror somewhere between the mirror's pole and its center of curvature. That makes this a converging mirror and the point where the rays converge is called the focal point or focus .
Answer:
Center of curvature of the Spherical mirror
The point in the center of the sphere from which the mirror was sliced is known as the center of curvature and is denoted by the letter C in the diagram.
This point is equidistant from all points on the reflecting surface of the mirror
The ray diagram for the image formation by a concave mirror when the size of an object and its image are same is given above.
Here, in the diagram if we put the object on the center of curvature then the image will have same size as that of the object.
Mirror Formula is given by :-
f
1
=
v
1
+
u
1
where,
f = Focal length of the mirror.
v = Distance of image from the mirror.
u = Distance of the object from the mirror.
For Calculating the speed of light in a medium :-
given, n (refractive index)=1.5 and c (speed of light)= 3×10
8
m/s
therefore using formula;
Refractive Index(n)=
Speed of light in the medium(v)
Speed of light in vacuum(c)
therefore on putting the values,
1.5=
v
3×10
8
therefore, v=2×10
8
m/sec