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Why is it possible to simplify the number of actual refractions in a lens down to one refraction at a central line through the optical centre?
There are a few reasons why it is possible to simplify the number of actual refractions in a lens down to one refraction at a central line through the optical centre. One reason is that when light passes through a lens, the lens refracts the light in such a way that the light is brought to a focus. The amount of refraction that occurs depends on the curvature of the lens and the index of refraction of the lens material. However, no matter how curved the lens is, the amount of refraction is always the same at the optical centre of the lens. This is because the optical centre is the point on the lens where the light rays passing through the lens are parallel to the principal axis of the lens. Another reason why it is possible to simplify the number of actual refractions in a lens down to one refraction at a central line through the optical centre is that when a lens is rotated about its optical axis, the image formed by the lens does not rotate. This is because the optical centre of a lens is invariant with respect to rotation. This means that it is not necessary to take into account the actual refractions that occur at different points on the lens when calculating the image formation by the lens.
How do you prove using snell's law that rays passing through the optical center of a thin lens are not refracted?
Let: medium1= medium where ray enters the lens medium2= inside the lens medium3= medium where the ray is refracted outside the lens From medium 1 to medium 2 which is the lens Snell's law: n1sin(alfa1)=n2sin(alfa2) (1) And from medium 2 to 3 : n2sin(alfa2)=n3sin(alfa3) (2) Then, from (1) and (2): n1sin(alfa1)=n3sin(alfa3) But n3=n1 (same medium), =>n1sinalfa1=n1sinalfa3 => sin(alfa1)=sin(alfa3) (4) Therefore, alfa1=alfa2 knowing that they are less than 90o. As a conclusion the incoming ray and the refracted ray passing through the optical centre are parallel.
What is the purpose of Fresnel lens?
Fresnel lenses are used to focus or diffuse light in optical devices such as lighthouses, camera lenses, and projectors. They are designed to be lightweight and can achieve the same optical effect as conventional lenses while using less material.
What is the Nature of a convex lens immersed in a liquid with a refractive index same as of glass?
The "nature" of it is the same as if it weren't immersed. However, if it has the same refractive index as the material it's immersed in, it will no longer have any discernable effect on the refraction of light; from the outside it will appear to just be another part of the liquid (it may well disappear from sight, since it's no longer visually distinguishable from the liquid itself).
Where does an object center of gravity always lie?
It is always different depending on the object. For example a female humans' center of gravity is in the hip. as a male humans' center of gravity is in the chest. But once you have found the center of gravity in an object the center of gravity should be the same in every object like it.
What is optical center of a lens?
optic centre is the geometrical centre of the lens the rays of light passing through this point emerges in the same direction without bending.
What is called optical center of a lens?
optic centre is the geometrical centre of the lens the rays of light passing through this point emerges in the same direction without bending.
Why is it possible to simplify the number of actual refractions in a lens down to one refraction at a central line through the optical centre?
There are a few reasons why it is possible to simplify the number of actual refractions in a lens down to one refraction at a central line through the optical centre. One reason is that when light passes through a lens, the lens refracts the light in such a way that the light is brought to a focus. The amount of refraction that occurs depends on the curvature of the lens and the index of refraction of the lens material. However, no matter how curved the lens is, the amount of refraction is always the same at the optical centre of the lens. This is because the optical centre is the point on the lens where the light rays passing through the lens are parallel to the principal axis of the lens. Another reason why it is possible to simplify the number of actual refractions in a lens down to one refraction at a central line through the optical centre is that when a lens is rotated about its optical axis, the image formed by the lens does not rotate. This is because the optical centre of a lens is invariant with respect to rotation. This means that it is not necessary to take into account the actual refractions that occur at different points on the lens when calculating the image formation by the lens.
What is the distance from the center of earth to its center of mass?
The geometric center and the center of mass of the Earth are essentially the same point.
How do you prove using snell's law that rays passing through the optical center of a thin lens are not refracted?
Let: medium1= medium where ray enters the lens medium2= inside the lens medium3= medium where the ray is refracted outside the lens From medium 1 to medium 2 which is the lens Snell's law: n1sin(alfa1)=n2sin(alfa2) (1) And from medium 2 to 3 : n2sin(alfa2)=n3sin(alfa3) (2) Then, from (1) and (2): n1sin(alfa1)=n3sin(alfa3) But n3=n1 (same medium), =>n1sinalfa1=n1sinalfa3 => sin(alfa1)=sin(alfa3) (4) Therefore, alfa1=alfa2 knowing that they are less than 90o. As a conclusion the incoming ray and the refracted ray passing through the optical centre are parallel.
Is geometric and sterio isomers same?
In stereoisomerism, the atoms making up the isomers are joined up in the same order, but still manage to have a different spatial arrangement. Geometric isomerism is one form of stereoisomerism.For compounds with more than two substituents E-Z notation is used instead of cis and trans.
What is the positive lens is the same as?
The focal point F and focal length f of a positive (convex) lens, a negative (concave) lens, a concave mirror, and a convex mirror. The focal length of an optical system is a measure of how strongly the system converges or diverges light.
What are the three laws governing light passing through 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 effect continue in the same direction that it had when it entered the lens.
How is a microscope an example of a technological design?
The design uses refraction of the objective lens to form an image. This image is then observed with a second lens to allow the eye to see it. Except for the types of lenses used the same principle is used in optical telescopes and binoculars.
What is the purpose of Fresnel lens?
Fresnel lenses are used to focus or diffuse light in optical devices such as lighthouses, camera lenses, and projectors. They are designed to be lightweight and can achieve the same optical effect as conventional lenses while using less material.
Where does an object center of gravity always lie?
It is always different depending on the object. For example a female humans' center of gravity is in the hip. as a male humans' center of gravity is in the chest. But once you have found the center of gravity in an object the center of gravity should be the same in every object like it.
What is the Nature of a convex lens immersed in a liquid with a refractive index same as of glass?
The "nature" of it is the same as if it weren't immersed. However, if it has the same refractive index as the material it's immersed in, it will no longer have any discernable effect on the refraction of light; from the outside it will appear to just be another part of the liquid (it may well disappear from sight, since it's no longer visually distinguishable from the liquid itself).
