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Why focal length is half of the radius of curvature?

Posted on June 5, 2020 by Author

Table of Contents

  • 1 Why focal length is half of the radius of curvature?
  • 2 How is focal length of a spherical mirror related to its radius of curvature?
  • 3 Do all spherical mirrors have focal length?
  • 4 Is the focal length of a spherical mirror is 12.5 cm its radius of curvature will be?
  • 5 What is the focal length of the spherical mirror?
  • 6 What is focal length of mirror?
  • 7 How do you prove that the focal length is half the radius?
  • 8 What is the focus of a spherical mirror at infinity?

Why focal length is half of the 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.

How is focal length of a spherical mirror related to its radius of curvature?

Focal length is half the radius of curvature of a spherical mirror.

Is focal length of lens half the radius of curvature?

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The distance from the pole to the focal point is called the focal length (f). The focal length of a spherical mirror is then approximately half its radius of curvature.

Is focal length is twice of radius of curvature?

Proof that Radius of curvature is equal to twice of focal length R=2F​

Do all spherical mirrors have focal length?

Focal length is the property of a spherical mirror. It does not depend on the light used. So, it is same for all lights.

Is the focal length of a spherical mirror is 12.5 cm its radius of curvature will be?

Focal length, f = 12.5 cm Hence, the radius of the curvature of a spherical mirror will be 25 cm.

What is the radius of curvature of the mirror its focal length is 20 cm?

Q. The radius of curvature of a spherical mirror is 20 cm. What is its focal length? Hence the Focal length of the spherical mirror is 10 cm.

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

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ANSWER: The focal length of convex mirror with radius of curvature as 40 cm is 20 cm.

What is the focal length of the spherical mirror?

Focal length of the spherical mirror is the distance from the pole of the mirror to the focus point of the object. The radius of the curvature of the mirror is determined by the two formulas, one is magnification formula and other is focal length formula.

What is focal length of mirror?

The focal length ( f ) is the distance from a lens or mirror to the focal point ( F ). This is the distance from a lens or mirror at which parallel light rays will meet.

How do you find the focal length of a spherical mirror?

The true statement is: for a spherical mirror, the focal length is equal to half its radius of curvature. f =R/2. What is the relation between the radius of the curvature and the focus length of a spherical mirror?

What is the center of curvature of a mirror?

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Its center of curvature, C, is the center of the sphere it was cut from. R, the mirror’s radius of curvature is the radius of the sphere. The focal point F (the point where parallel rays are focused) is located half the distance from the mirror to the center of curvature. The focal length, f, is:

How do you prove that the focal length is half the radius?

The proof that the focal length is half the radius of curvature requires a parabolic mirror. The minimum radius of curvature, where the paraboloid intersects its axis of rotation, is the radius that is twice the focal length.

What is the focus of a spherical mirror at infinity?

At infinity, the focus is at half the radius of curvature. The focal length is defined by parallel rays, i.e. rays from an infinitely distant point source. If the mirror were parabolic instead of spherical, the focus would be more precise. A spherical mirror is only an approximation of a parabolic mirror.

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