What is the focal length of a convex mirror whose radius of curvature is 32 cm?

What is the focal length of a convex mirror whose radius of curvature is 32 cm?

16 cm

What is the focal length of a convex mirror whose radius of curvature is 30 cm?

Answer. Hence, the focal length of the given convex mirror is 16 cm.

What is the focal length of a concave mirror whose radius of curvature is 16 cm?

16 cm. So the focal length of the convex mirror is 16cm.

What is the focal length of a convex mirror of radius of curvature 31 cm?

Thus, focal length of convex mirror, f=16 cm.

What will be the focal length of a convex mirror if its radius of curvature is 18 cm?

f = 182 = 9 cm.

How is focal length related to radius of curvature?

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.

Is the radius of curvature the focal point?

The distance from the vertex to the center of curvature is known as the radius of curvature (represented by R). Since the focal point is the midpoint of the line segment adjoining the vertex and the center of curvature, the focal length would be one-half the radius of curvature.

What is the meaning of radius of curvature?

In differential geometry, the radius of curvature, R, is the reciprocal of the curvature. For a curve, it equals the radius of the circular arc which best approximates the curve at that point. For surfaces, the radius of curvature is the radius of a circle that best fits a normal section or combinations thereof.

What is the formula for radius of curvature?

R=1K. Hence for plane curves given by the explicit equation y=f(x), the radius of curvature at a point M(x,y) is given by the following expression: R=[1+(y′(x))2]32|y′′(x)|.

What is radius of curvature in physics class 11?

Radius of curvature of a path at a point is a circle to which the curve of the path touches the circle tangentially. It tells us how much the curve is at this point. Less the radius of curvature, more pointed is the curve at the given point.

How do you calculate radius?

Divide the diameter by two. radius is always half the length of its diameter. For example, if the diameter is 4 cm, the radius equals 4 cm ÷ 2 = 2 cm.

How do you find the radius of curvature of a mirror?

R=CF+FP. In other words, in the small-angle approximation, the focal length f of a concave spherical mirror is half of its radius of curvature, R: f=R2.

What do you call the image formed behind the mirror?

The image behind the mirror is called a virtual image because it cannot be projected onto a screen—the rays only appear to originate from a common point behind the mirror.

Is Centre of curvature part of a mirror?

The centre of curvature is the centre of the sphere from which the mirror is cut. The midpoint of the aperture is the pole of the mirror.

Why Centre of curvature is not part of mirror?

The reflecting surface of a spherical mirror forms a part of a sphere. Please note that the centre of curvature lies outside the mirror’s reflecting surface. The centre of curvature of a concave mirror lies in front of it. However, it lies behind the mirror in case of a convex mirror.

What is the role of Centre of curvature in mirror?

Centre of Curvature: The centre of the sphere of which the mirror forms the part. The reflecting surface of the mirror. Focus: The point of the principal axis at which the rays parallel to principal axis meet (concave mirror) or appear to meet (convex mirror) after reflection.

What kind of image would be for an object placed between a concave mirror and its focal point?

virtual

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