State whether the given statement is true or false.

A ray of light passing through the centre of curvature of a concave mirror gets reflected along the same path.

Question

State whether the given statement is true or false. A ray of light passing through the centre of curvature of a concave mirror gets reflected along the same path.

Accepted Answer

The given statement is true.Concept- Any light ray that passes through the centre of curvature of a concave mirror strikes the concave mirror at a  angle. We know that any light ray that strikes a mirror at a  angle is always reflected along the same path. So, any light ray that passes through the centre of curvature of a mirror is always reflected through the same path.Below, a concave mirror is seen.Therefore, the reflecting coating is on the outer side of a concave mirror, while the reflective side is on the inner side.As depicted in the illustration below, we may see a concave mirror as a component of a spherical mirror with a reflective coating on the outside.If we examine the entire hypothetical spherical mirror, the centre of curvature is the centre of the sphere. Now, picture a light beam travelling through the centre of curvature of a concave mirror. Now it is clear that the radius of the entire fictitious spherical mirror is represented by the light beam that strikes the concave mirror after passing through the centre of curvature.Now that we are aware that a sphere's radius forms a   angle with its surface, we can infer that this spherical mirror's radius will do the same. As a result, each light ray that travels through the imaginary sphere's centre of curvature will also encounter the concave mirror at an angle of  circumference.Now, we are aware that every light ray that hits a mirror at an angle of  is always reflected in the same direction.Therefore, every light beam that travels through a mirror's centre of curvature is reflected along the same path.Hence, the given statement is true.

State whether the given statement is true or false.

A ray of light passing through the centre of curvature of a concave mirror gets reflected along the same path.

Best Courses for You

Detailed Solution

courses

Get Expert Academic Guidance – Connect with a Counselor Today!

best study material, now at your finger tips!

download the app

Download the App