A ray of light passing through the centre of curvature of a spherical mirror, after reflection passes througha)Principal focusb)Twice the focusc)Pole of the mirrord)Centre of curvatureCorrect answer is option 'D'. Can you explain this answer?

Question

Answer

Option D is correct
because when light pass through center of curvature they they reflect and passed through same way

Answer

When a ray come from center of curvature it will retrace its path so after reflection it will go through center of curvature

so correct answer is D

Answer

Yaa it passes through centre of curvature only

Answer

A ray of light passing through the centre of curvature of a concave mirror is reflected back along the same path because it strikes the concave mirror at right angles to it's surface due to which the angle of incidence and angle of reflection both are 0°

Answer

The given question is related to the reflection of light by a spherical mirror. We are given that a ray of light passes through the center of curvature of a spherical mirror and we need to determine where it will pass after reflection. The correct answer is option 'D', i.e., the ray of light will pass through the center of curvature.

Explanation:
To understand why the ray of light passes through the center of curvature after reflection, let's consider the properties of a spherical mirror.

1. Spherical Mirror:
A spherical mirror is a curved reflective surface, which can be classified into two types - concave and convex. In concave mirrors, the reflecting surface is on the inner side of the curved mirror, while in convex mirrors, the reflecting surface is on the outer side.

2. Centre of Curvature:
The center of curvature (C) of a spherical mirror is the center of the sphere from which the mirror is formed. It is located at a distance equal to the radius of curvature (R) from the mirror's surface. For a concave mirror, the center of curvature lies in front of the mirror, while for a convex mirror, it lies behind the mirror.

3. Principal Focus:
The principal focus (F) of a spherical mirror is the point on its principal axis where parallel rays of light converge or appear to diverge from. For a concave mirror, the principal focus is located in front of the mirror, while for a convex mirror, it is located behind the mirror.

Now, let's consider the given scenario step by step:

- A ray of light passing through the center of curvature of a spherical mirror:
When a ray of light passes through the center of curvature of a spherical mirror, it strikes the mirror perpendicularly. According to the laws of reflection, the angle of incidence will be equal to the angle of reflection, and the reflected ray will pass back along the same path.

- Reflection at the spherical mirror:
Since the ray of light strikes the mirror perpendicularly, the angle of incidence is 0 degrees. According to the laws of reflection, the angle of reflection will also be 0 degrees. In this case, the reflected ray will be reflected back along the same path, passing through the center of curvature.

Therefore, the ray of light passes through the center of curvature after reflection.

This is why the correct answer is option 'D', i.e., the ray of light passes through the center of curvature.

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