The d/f b/w Lens and mirror

@ Oshin, Your friend has answered your question correctly.

It is nice to see you got it.

@Milli, Well done. Keep it up!

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what????

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it may mean that a lens only refracts it does not reflect..

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 yupp... lenses only refract the incoming rays of light..

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 the three rules of refraction for a double convex lens:

  • Any incident ray traveling parallel to the principal axis of a converging lens will refract through the lens and travel through the focal point on the opposite side of the lens.
  • Any incident ray traveling through the focal point on the way to the lens will refract through the lens and travel parallel to the principal axis.
  • An incident ray that passes through the center of the lens will in effect continue in the same direction that it had when it entered the lens.
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thnaks alot

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Rules of Refraction for Diverging Lenses

 Suppose that several rays of light approach the lens; and suppose that these rays of light are traveling parallel to the principal axis. Upon reaching the front face of the lens, each ray of light will refract towards the normal to the surface. At this boundary, the light ray is passing from air into a more dense medium (usually plastic or glass). Since the light ray is passing from a medium in which it travels relatively fast (less optically dense) into a medium in which it travels relatively slow (more optically dense), it will bend towards the normal line. This is the FST principle of refraction. This is shown for two incident rays on the diagram below. Once the light ray refracts across the boundary and enters the lens, it travels in a straight line until it reaches the back face of the lens. At this boundary, each ray of light will refract away from the normal to the surface. Since the light ray is passing from a medium in which it travels relatively slow (more optically dense) to a medium in which it travels fast (less optically dense), it will bend away from the normal line. This is the SFA principle of refraction. These principles of refraction are identical to what was observed for the double convex lens above.

The above diagram shows the behavior of two incident rays approaching parallel to the principal axis of the double concave lens. Just like the double convex lens above, light bends towards the normal when entering and away from the normal when exiting the lens. Yet, because of the different shape of the double concave lens, these incident rays are not converged to a point upon refraction through the lens. Rather, these incident rays diverge upon refracting through the lens. For this reason, a double concave lens can never produce a real image. Double concave lenses produce images that are virtual. This will be discussed in more detail in thenext part of Lesson 5. If the refracted rays are extended backwards behind the lens, an important observation is made. The extension of the refracted rays will intersect at a point. This point is known as the focal point. Notice that a diverging lens such as this double concave lens does not really focus the incident light rays that are parallel to the principal axis; rather, it diverges these light rays. For this reason, a diverging lens is said to have a negative focal length.

The first generalization can now be made for the refraction of light by a double concave lens:

 

Refraction Rule for a Diverging Lens

Any incident ray traveling parallel to the principal axis of a diverging lens will refract through the lens and travel in line with the focal point (i.e., in a direction such that its extension will pass through the focal point).

 

 Now suppose that the rays of light are traveling towards the focal point on the way to the lens. Because of the negative focal length for double concave lenses, the light rays will head towards the focal point on the opposite side of the lens. These rays will actually reach the lens before they reach the focal point. These rays of light will refract when they enter the lens and refract when they leave the lens. As the light rays enter into the more dense lens material, they refract towards the normal; and as they exit into the less dense air, they refract away from the normal. These specific rays will exit the lens traveling parallel to the principal axis.

The above diagram shows the behavior of two incident rays traveling towards the focal point on the way to the lens. Note that the two rays refract parallel to the principal axis. A second generalization for the refraction of light by a double concave lens can be added to the first generalization.

 

Refraction Rules for a Diverging Lens

  • Any incident ray traveling parallel to the principal axis of a diverging lens will refract through the lens and travelin line with the focal point (i.e., in a direction such that its extension will pass through the focal point).
  • Any incident ray traveling towards the focal point on the way to the lens will refract through the lens and travel parallel to the principal axis.

 

 

A Third Rule of Refraction for Lenses

The above discussion focuses on the manner in which converging and diverging lenses refract incident rays that are traveling parallel to the principal axis or are traveling through (or towards) the focal point. But these are not the only two possible incident rays. There are a multitude of incident rays that strike the lens and refract in a variety of ways. Yet, there are three specific rays that behave in a very predictable manner. The third ray that we will investigate is the ray that passes through the precise center of the lens - through the point where the principal axis and the vertical axis intersect. This ray will refract as it enters and refract as it exits the lens, but the net affect of this dual refraction is that the path of the light ray is not changed. For a thin lens, the refracted ray is traveling in the same direction as the incident ray and is approximately in line with it. The behavior of this third incident ray is depicted in the diagram below.

 

Now we have three incident rays whose refractive behavior is easily predicted. These three rays lead to our threerules of refraction for converging and diverging lenses. These three rules are summarized below.

Refraction Rules for a Converging Lens

  • Any incident ray traveling parallel to the principal axis of a converging lens will refract through the lens and travel through the focal point on the opposite side of the lens.
  • Any incident ray traveling through the focal point on the way to the lens will refract through the lens and travel parallel to the principal axis.
  • An incident ray that passes through the center of the lens will in affect continue in the same direction that it had when it entered the lens.

 

 

Refraction Rules for a Diverging Lens

  • Any incident ray traveling parallel to the principal axis of a diverging lens will refract through the lens and travelin line with the focal point (i.e., in a direction such that its extension will pass through the focal point).
  • Any incident ray traveling towards the focal point on the way to the lens will refract through the lens and travel parallel to the principal axis.
  • An incident ray that passes through the center of the lens will in affect continue in the same direction that it had when it entered the lens.

 

These three rules of refraction for converging and diverging lenses will be applied through the remainder of this lesson. The rules merely describe the behavior of three specific incident rays. While there is a multitude of light rays being captured and refracted by a lens, only two rays are needed in order to determine the image location. So as we proceed with this lesson, pick your favorite two rules (usually, the ones that are easiest to remember) and apply them to the construction of ray diagrams and the determination of the image location and characteristics.

 

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many more thanks

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 my pleasure.... :))

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