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Curvature and focal length are inversely related. A shorter focal length corresponds to more curved surfaces, while a longer focal length results in flatter surfaces. This relationship is seen in various optical systems like lenses and mirrors.

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What is the relationship between the radius of curvature and focal length in a concave mirror?

In a concave mirror, the radius of curvature is twice the focal length.


The relation between focal length and radius of curvature of spherical mirror is?

The relation between focal length (f), radius of curvature (R), and the focal point of a spherical mirror can be described by the mirror equation: 1/f = 1/R + 1/R'. The focal length is half the radius of curvature, so f = R/2.


Can focal length and radius of curvature of a lens be same?

No, the focal length and radius of curvature of a lens cannot be the same. The radius of curvature is twice the focal length for a lens. This relationship is based on the geometry of the lens and the way light rays converge or diverge when passing through it.


How does change in the thickness of lens change the focal length of lens?

Increasing the thickness of the lens generally decreases the focal length, while decreasing the thickness increases the focal length. This is due to the way light rays bend and converge or diverge as they pass through different thicknesses of the lens. The relationship between lens thickness and focal length is determined by the lens's refractive index and curvature.


How do you derive relation between focal length and radius of curvature of convex mirror?

For a convex mirror, the focal length (f) is half the radius of curvature (R) of the mirror. This relationship arises from the mirror formula for convex mirrors: 1/f = 1/R + 1/v, where v is the image distance. When the object is at infinity, the image is formed at the focal point, and the image distance is equal to the focal length. Hence, 1/f = -1/R when solving for the focal length in terms of the radius of curvature for a convex mirror.

Related Questions

What is the relationship between the radius of curvature and focal length in a concave mirror?

In a concave mirror, the radius of curvature is twice the focal length.


What is the relationship between focal length and radius of curvature?

R = 2f


What is the relation between focal length and center of curvature?

The focal length of a concave mirror is about equal to half of its radius of curvature.


What is relation between focal length and radius of curvature in lenses?

The Center of curvature is 2 times the focal length. By the way this is a physics question.


The relation between focal length and radius of curvature of spherical mirror is?

The relation between focal length (f), radius of curvature (R), and the focal point of a spherical mirror can be described by the mirror equation: 1/f = 1/R + 1/R'. The focal length is half the radius of curvature, so f = R/2.


Can focal length and radius of curvature of a lens be same?

No, the focal length and radius of curvature of a lens cannot be the same. The radius of curvature is twice the focal length for a lens. This relationship is based on the geometry of the lens and the way light rays converge or diverge when passing through it.


How does change in the thickness of lens change the focal length of lens?

Increasing the thickness of the lens generally decreases the focal length, while decreasing the thickness increases the focal length. This is due to the way light rays bend and converge or diverge as they pass through different thicknesses of the lens. The relationship between lens thickness and focal length is determined by the lens's refractive index and curvature.


How do you derive relation between focal length and radius of curvature of convex mirror?

For a convex mirror, the focal length (f) is half the radius of curvature (R) of the mirror. This relationship arises from the mirror formula for convex mirrors: 1/f = 1/R + 1/v, where v is the image distance. When the object is at infinity, the image is formed at the focal point, and the image distance is equal to the focal length. Hence, 1/f = -1/R when solving for the focal length in terms of the radius of curvature for a convex mirror.


What is the relation of focal length of eye with its curvature?

The curvature of the eye's lens is related to its focal length: a more curved lens will have a shorter focal length, which allows the eye to focus on near objects. Conversely, a less curved lens will have a longer focal length, allowing the eye to focus on distant objects.


What is the relation between focal length and radius of curvature?

f=|-R/2|


What is the Relationship between center of curvature and focal point?

The center of curvature is the point on the optical axis located at a distance twice the focal length from the focal point of a lens or mirror. It is the midpoint of the radius of curvature of the lens or mirror. The focal point is the point where parallel rays of light converge or appear to diverge after passing through or reflecting off the lens or mirror.


How do you find radius of curvature if focal length is given?

radius of curvature = 2Focal length