Can focal length be equal to radius of curvature?
Can focal length be equal to radius of curvature?
For a spherical mirror with the radius of curvature R the focal length is equal (up to a sign) to the half of i.e. Therefore the radius of curvature and the focal length cannot be equal.
What is the relationship between the focal length of a cylindrical mirror and its radius of curvature?
A concave cylindrical mirror focuses incoming parallel rays at its focal point. The focal length ( f) is the distance from the focal point to the cen- ter of the mirror surface. The radius of curvature (R) of the mirror is twice the focal length.
What must be the focal length and radius of curvature of this mirror?
How far is this converging point from the mirror’s surface if the radius of curvature (R) of the mirror is 150 cm? If the radius of curvature is 150 cm. then the focal length is 75 cm….The Anatomy of a Curved Mirror.
| Principal axis | Center of Curvature | Vertex |
|---|---|---|
| Focal Point | Radius of Curvature | Focal Length |
Is C and 2f same?
Answer: Yes the centre of curvature C and 2F are same. The centre of the curvature of the spherical lens is at the double of the focal length from the pole of the mirror located on the principal axis.
Is 2f the radius of curvature?
The correct relation between R and f is R = 2f. For spherical mirrors of small apertures, the radius of curvature is found to be equal to twice the focal length, i.e., R = 2f. This implies that the principal focus of a spherical mirror lies between the pole and the centre of curvature.
What is relation between radius of curvature and focal length class 10?
Radius of curvature is observed to be equal to twice the focal length for spherical mirrors with small apertures. Hence R = 2f .
What is the relation between F and 2f?
For a converging lens, parallel light rays will converge to a point. This is the focal point (F) of the converging lens. A point that is twice the distance from the lens as the focal point is labeled 2F.
What is the relation between radius of curvature and focal length?
The relation between focal length (f) and radius of curvature (R) of a spherical mirror is that the focal length is equal to half of the radius of curvature i.e. f=R2.
Why is focal length half of radius of curvature?
Proving the focal length is half the radius of curvature: Taking a concave mirror, the curved mirror will have a principal axis near which a ray of light is incident on the mirror parellel to it. Hence, in both cases Radius is double the focal length.
