Sorry but didn't get the first para at all. But that's okay, as I go to higher classes I'll learn it, so I won't confuse myself now.:smile:
But as for the second part would that mean that the magnitude would be negative for a vector in the opposite direction to ix? I think I read somewhere the...
I'm just in Year 10, I haven't learnt linear algebra. I don't know what ℝ2 or arctan is either. I don't think I need the formulas, right know I just want to understand the concept. What I've got so far is that to represent direction of a vector in 2D You either use angle with the x axis or...
Thanks you so much for your replies! :biggrin:
n-dimensions :confused: n can only be 1,2 or 3 right? Also, I have no idea what you mean when you say vector space or linearly independent or what basis you are referring to. But I can always guess :tongue2:
vector space I suppose this means...
I just learnt vectors as a prerequisite to learning mechanics and I have a few doubts:-
1) For 1D motion, there are only two possible directions, so they can be represented by just a + or - sign, where you have to define which direction is positive and which is negative.
But for 2D how do...
In astronomical telescopes, they use a convex mirror to from a real image, which is formed at the focus of the eyepiece lens, effectively forming an image at infinity. But how can it truly be at infinity? If it was truly at infinity then how could you see it? Also they say that image at infinity...
I don't have a telescope to be playing around with so I can't be trying all this out :/ But as for the images getting brighter, here's what I think:-
You're using a convex lens to form a real image which is captured on a screen. I get how the image on the screen will be brighter if you increase...
In one place I read that since the particles are big they reflect white light as is. But in another I read that they are made up of water droplets of varying sizes so,
small droplets: make blue
medium droplets: make green
larger droplets: make red
...and together they combine to make a white...
Another explanation given in another book says that if you cur it along the diagonal you can imagine it to be two prism and you already know how recombination occurs with two prisms. But in the two prism arrangement refraction occurs when going from the first prism to air and from air to the...
But it appears to be bigger and that's what angular magnification is. Just like trees farther away are smaller, or railway tracks converge at the horizon.
But when looking at angular magnification other factors like distance from the eye come into play as well, and that formula does not take them into account. For example, if the object and image are of same size, then according to that formula m=1 but if the image is farther away it is actually...
Formation of image when object is at infinity
I know how a beam of light rays parallel to the principal axis, after refraction through a convex lens, passes through the focus. But what about formation of an image. In my book the light rays are not parallel to the principal axis (they are...
"The diameter of the eyepiece is greater than that of the objective. This helps to collect more light and gives a brighter image"
I thought that increasing the aperture of a lens doesn't increase the brightness of a virtual image. Yes, it will increase the brightness of a real image caught on...
No, my explanation is the opposite of what they said. I'm trying to say that what they said is wrong. They will disperse but the beam will be parallel, not diverging, is what I'm trying to say. That's because they each undergo different lateral shift.
http://www.citycollegiate.com/magnifying_glass.htm This site contains more detailed info on what they were talking about. But I don't get the math. Just because alpha and beta are small angles why should alpha be equal to tan alpha?
And also, in a simple microscope where they use a single convex mirror and an object within the focus of the convex lens so that it produces a virtual image, there they use the formula v/u to get the magnification, but I feel that even though the image is bigger, it's also behind which reduces...
We're learning about magnification and they say how magnification is the ratio of the visual angle while looking through the instrument to that with the naked eye and then they say,
For small angles, magnification is defined as,
m= height of the image/height of the object
Why only for...
I understand why the sun is red,, due to most of the blue light of shorter wavelength being scattered in other directions because the sunlight has to travel through more atmosphere before it reaches our eyes, but why does the surrounding sky appear red to us?
During refraction the different colors that white light is composed of are dispersed but does this happen during reflection or total internal reflection?
Here's a question from my textbook: "Why do you not see a spectrum of colors when light passes through a flat pane of glass?"
However I think that a spectrum of colors will be formed when light passes through a flat pane of glass. The colors will all be parallel to one another, unlike a prism...
So what I meant is while in a virtual image the image remains the same, the amount of it that we can see reduces. Am I correct? Oh and can anyone give some feedback on the second question and my solution?