Please answer well!!
As we know when ray of light falling on spherical mirror in such a way that they are parellel to principal axis, they pãss through focal point. What would happen if rays are falling on mirror surface but not parellel to principal axis( they are falling at any angle other than 90°)? Also tell me what will be the direction of reflected ray. [See attachment]
The reason may be they follow law of reflection and passes at same angle as angle of incidence but is there any another reason? Give your views and justification please.
Copied or spam answer will be deleted.
Good luck :)
Answers
★ Solution :-
This question is little bit contrary to the rules of image formation. Though it is a correct qúestion but its answer is hypothetical.
Firstly let's study the given qúestion.
In the qúestion it is given that the first ray of light from object is not parallel to the principal axis and then it forms certain angle other than 90° from the mirror.
Now let's come to the answer of the question.
• What would happen if the rays are not parallel to the principal axis ?
There won't be any change innthe criteria of image formation. Actually we know that a image is formed only when the first ray of light pássing through the focus of mirror and the second ray of light pássing through the centre of curvature will meet it some point or even at infinity. Also we know that for a ray of light to páss through focus it must be parallel to the principal axis. And same goes with the ray of light to páss through centre of curvature. Here since ray of light are not parallel to the principal axis, they won't páss through centre of curvature and focus. This means it is no guarantee that the images will be formed or not and if they will form, they will be real or virtual.
• What will be the direction of reflection of light ray ?
If it's about direction of reflected ray, then it would be other than the direction of incident ray for sure but it is really hard to guess the direction. The reason is the direction of reflection also depends on the position of object from the mirror. And that's a basic thing for image formation. Due to Law of Reflection the angle of incidence will be equal to angle of reflection but still the direction won't be opposite. As shown in the attachment, their direction will be dependent on the angle they form and the point at which they meet with the mirror.
• Is image formation possible in this case ?
Well, according to my opinion it is not possible. The reason is that though rays will reflect but they won't form any image because they don't follow any law of formation of image. The basic law is that any two rays of light should méet at a point or seem to méet at the point. But here they shall not meét at some point. Also, these rays can appear to meét at some point but it is a different case as the that meéting point shall be above the principal axis or below it. So it is hard to form image. Also the formation of image depends on the position of object. Since here object is not given so the data is inaccurate here to guess the position of image.
• Contradiction to the case ::
This case is really a contrary one. The reason is that the condition given is not at all possible. Since as the rays of light shown here tend to meét the mirror from lower position to higher. This means they shall intersect principal axis at some point which is again contradiction for reflection to mirror. Then the first ray of light should come from the object and remain parallel to principal axis to páss through focus but again that's a contradiction. And similar contradiction is for ray of light pássing through the centre of curvature. And the last contradiction is that, the reflected ray when gets reflected tends to méet mirror again at some other point as shown in attachment. This cannot be shifted since law of reflection should be followed as angle of reflection should be equal to angle of incidence.
Explanation:
Here since ray of light are not parallel to the principal axis, they won't páss through centre of curvature and focus. This means it is no guarantee that the images will be formed or not and if they will form, they will be real or virtual.