What Is The Relation Between Focal Length And Radius Of Curvature Of A Mirror?

by | Last updated on January 24, 2024

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The relation between focal length (f) and radius of curvature (R) of a spherical is that the focal length is equal to half of the radius of curvature i.e.

f=R2

.

What is the relation between focal length and radius of curvature of a concave mirror does the same relation holds for a convex mirror?

Answer Expert Verified

Relation between the focal length and radius of curvature : For a spherical mirror of small aperture to its radius of curvature, the focal length of the mirror is

one half of the radius of curvature of the mirror

. This relation can be proved for both the mirrors that is concave and convex.

What is the relation between focal length and radius of curvature of a mirror Class 10?

The relationship between the focal length f and radius of curvature r is

r = 2f

.

Is radius of curvature the same as focal length?

Principal axis Center of Curvature Vertex Focal Point Radius of Curvature Focal Length

What is the relationship between R and F of a spherical mirror mention the focal length of a concave mirror whose radius is 28cm?

For a spherical mirror the principal focus (F) lies exactly mid-way between the pole (P) and centre of curvature (C). So, the focal length (f) of a spherical

mirror is equal to half of its radius of curvature (R)

.

What is the mirror formula?

Suppose an object is placed u cm in front of a spherical mirror of focal length f such that the image is formed v cm from the mirror, then u, v and f are related by the equation;

1/f= 1/u + 1/v

. This equation is referred to as the mirror formula. The formula holds for both concave and convex mirrors.

What is the relation between focal length and power?

The power of

a lens is inversely proportional to its focal length

. Therefore, a short focal length lens has more power, whereas a lens of long focal length has less power. The power of a convex lens (converging lens) is positive as its focal length is positive.

What is the focal length of a curve mirror is it has a radius of curvature is 40 cm?

Answer: The focal length of the given spherical mirror is

20cm

.

How is focal length related to refractive index?

Relationship between the power of a convex lens and the refractive index of a medium. Apparently,

focal length f is inversely proportional to the refractive index of the medium μ

. Since, Optical Power P=1f. This should imply that optical power is directly proportional to the refractive index.

How do you prove R 2f?


Consider a ray of light AB, parallel to the principal axis

, incident on a spherical mirror at point B.

What is the formula for radius of curvature?

Radius of Curvature Formula


R= 1/K

, where R is the radius of curvature and K is the curvature.

What is radius of curvature in a lens?

Definition: Radius of curvature of lens is

the radius of the hollow sphere of glass of which the lens is a part

. Each lens has two radii of curvature. … i.e As Refractive index (m) increases focal length (f) of lens decreases.

Can focal length be greater than radius of curvature?

Most optical materials have an index of refraction in the range of

1.3 to 1.7

for visible light, so for most lenses, the focal length will be greater than the radius of curvature.

What is the focal length of a mirror whose radius of curvature is 25 cm?

Answer: As per the question, the focal length of the convex mirror is 25 cm. Hence,

focal length f = 25 cm

.

What is the radius of curvature of a plane mirror?

the radius of curvature of a plane mirror is

infinity

.

Which is lens formula?

What is the Lens Formula? Answer: According to the convex lens equation, the lens formula is

1/f = 1/v + 1/u

. It relates the focal length of a lens with the distance of an object which is placed in front of it and the image formed of that object.

Rebecca Patel
Author
Rebecca Patel
Rebecca is a beauty and style expert with over 10 years of experience in the industry. She is a licensed esthetician and has worked with top brands in the beauty industry. Rebecca is passionate about helping people feel confident and beautiful in their own skin, and she uses her expertise to create informative and helpful content that educates readers on the latest trends and techniques in the beauty world.