Recent content by zimo

  1. zimo

    Two diffraction gratings one on top of the other

    Homework Statement Two diffraction gratings are stuck together, both with vertically aligned slits. Grating A has S1 slits and B has S2 slits. What is the new equivalent grating that is the product of two of the diffraction gratings above? (s1>s2>>>1) Homework Equations a. N* = 1/d...
  2. zimo

    Basic Farsightedness multistep question

    Homework Statement A man who is farsighted and standing in front of a flat mirror without glasses at some distance to see his image in focus. When he puts on his glasses he comes closer for seeing himself in focus to a distance that is 6 times shorter of the previous distance. a. what is the...
  3. zimo

    Optics - Diopter farsighted + shortsigted

    Homework Statement A man is both farsighted and shortsighted so his natural correct view is between 70cm to 100cm. What will be his view range if he puts on his reading glasses? Homework Equations \frac{1}{u}+\frac{1}{v} = \frac{1}{f} = D The Attempt at a Solution I calculated...
  4. zimo

    Using rapidity - prove velocity transformation equations

    Homework Statement Prove the law of transformation of velocities \begin{array}{l} {v_x} = \frac{{{v_x}^\prime + V}}{{1 + {v_x}^\prime V/{c^2}}}\\ {v_y} = \frac{{{v_y}^\prime }}{{\gamma (1 + {v_x}^\prime V/{c^2})}}\\ {v_z} = \frac{{{v_z}^\prime }}{{\gamma (1 + {v_x}^\prime V/{c^2})}}...
  5. zimo

    B field at the center of a large charges sheet

    I approached him and asked it today, he said that he expects us to solve it only by Bio-Savart...
  6. zimo

    Electric dipole - derive torque from pot. energy

    A shot: G = - \frac{\partial U}{\partial\theta} = - \frac{\partial(-p \cdot E)}{\partial\theta} = \frac{\partial(pEcos\theta)}{\partial\theta} = - pEsin\theta = - p \times E did I get it all-right?
  7. zimo

    B field at the center of a large charges sheet

    Maybe you are right, but the lecturer pointed out specifically to use Biot-Savart on this one...
  8. zimo

    B field at the center of a large charges sheet

    Homework Statement In a plastic film factory, a wide belt of thin plastic material is traveling between two successive rollers with the speed v. In the manufacturing process, the film has accumulated a uniform surface electric charge density σ. What is B near the surface of the belt in...
  9. zimo

    Electric dipole - derive torque from pot. energy

    Homework Statement Derive equation of torque: G = p X E from equation U = -p\cdotE Homework Equations G = \int x \times \rho(x)E dV U = \int \rho(x)x \cdot \nabla\varphi dV The Attempt at a Solution I tried to figure how to represent G in a way that better express the nature...
  10. zimo

    Michelson Interferometer question

    Homework Statement Express the intensity from a beam that crosses a Michelson Interferometer that its beam splitter transfers 1/3 and reflects 2/3. Homework Equations N/A The Attempt at a Solution Would like to have a hint...
  11. zimo

    Fraunhofer diffraction, multiple slits

    Homework Statement A system consisting of 5-slit (completely identical) that the distance between their centres, d, is four times the width of a slit, b. Calculate the relation between the major maximum at the center and the next maximum (can be given that position of the maximum is...
  12. zimo

    Interference (Young's experiment) and an adhesive tape

    Homework Statement At a young's experiment arrangement, there is a 500nm light beam, a distance of 1m from the slits to the screen and a 0.25mm between the two slits In what way the interference pattern will change if an adhesive tape is being taped to one of the slits with a 1mm thickness and...
  13. zimo

    A lens and a convex mirror problem

    That's my problem, now it is considered concave?
  14. zimo

    A lens and a convex mirror problem

    Homework Statement A body is positioned 40 cm from the left of a lens (f=30) and the lens is positioned 100cm left of a convex mirror (|R|=60), where will be the image and what type and magnitude will it have? Homework Equations 1/u + 1/v = 1/f The Attempt at a Solution I tried to...
  15. zimo

    Two lenses problem, multiple interpretations, no true answer

    I understood my mistakes: a. the correct equation to use is the simpler lens equation (although we can use the above one, but no need) b. on the second iteration we need to take the new u from the old v but to do the conversion 100-u=u(new) because the new reference image is between the two...
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