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  1. R

    Questions on vectors

    So I asked her and turns out that what she was plotting was just the magnitude of the displacement on y and time on x.
  2. R

    Questions on vectors

    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...
  3. R

    Questions on vectors

    She didn't use angular velocity, she just took the initial point and drew displacement vectors from there to points on the circle.
  4. R

    Questions on vectors

    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...
  5. R

    Questions on vectors

    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...
  6. R

    Questions on vectors

    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...
  7. R

    Image formation at infinity

    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...
  8. R

    Formation of spectrum of colors when light passes through a flat pane of glass

    I don't have a fishtank so I can't do that. But I'm happy to know that I was correct about it :biggrin: For once :tongue2:
  9. R

    Functioning of a compound microscope

    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...
  10. R

    Why are clouds white?

    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...
  11. R

    Formation of spectrum of colors when light passes through a flat pane of glass

    Oh sorry I didn't see your post. So basically the shift is so small that the lights just merge together for us?
  12. R

    Formation of spectrum of colors when light passes through a flat pane of glass

    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...
  13. R

    Magnification of an image

    Because it's closer to you. Just like the trees right? The size of the image on the retina is bigger.
  14. R

    Magnification of an image

    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.
  15. R

    Magnification of an image

    What about multiple reflections in two plane mirrors? There the images are the same size but their visual angle is less.
  16. R

    Magnification of an image

    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...
  17. R

    Functioning of a compound microscope

    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...
  18. R

    Functioning of a compound microscope

    "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...
  19. R

    Magnification of an image

    Okay but how did they get that angular magnification is height of image / height of object?
  20. R

    Formation of spectrum of colors when light passes through a flat pane of glass

    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.
  21. R

    Magnification of an image

    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?
  22. R

    Magnification of an image

    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...
  23. R

    Magnification of an image

    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...
  24. R

    The sky's red color during sunset and sunrise

    I know why sunsets are red, but I want to know why the sky surrounding the sun is red.
  25. R

    The sky's red color during sunset and sunrise

    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?
  26. R

    Does dispersion of light occur in reflection?

    During refraction the different colors that white light is composed of are dispersed but does this happen during reflection or total internal reflection?
  27. R

    Formation of spectrum of colors when light passes through a flat pane of glass

    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...
  28. R

    Refraction (aperture, apparent depth)

    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?
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