Recent content by phalanx123

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    Calculating Film Thickness: Interference Fringes with L = 500nm Incident Light

    Hi neelakash, I know that inteference will occur in such occasion what I meant was how fringes would occur i.e. both maxima and minima occur at same time. Because what I thought was that if all the light rays are incidenting at the same angle and the film have a constant thickness than the path...
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    Calculating Film Thickness: Interference Fringes with L = 500nm Incident Light

    1. Light of wavelength L = 500nm, produced by an extended source, is incident at an angle of 30o from the normal upon a dielectric film of refractive index n = 2 supported on a solid planar substrate. Reflectivity minima are observed to have an angular separation of 0.05 radians. What is the...
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    Question about motion of rod after collision

    Ok I got it now. Thanks a lot ^_^
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    Question about motion of rod after collision

    This is actually where I am stuck on. I don't really know how to calculate the centre of mass/moment of inertial of a ununiformed object. I am thinking of using integration. But that is for uniformed object isn't it? As for the moment of inertia. I think I can use the parallel axis theorem by...
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    Question about motion of rod after collision

    Hi I am kind of stuck on this question.:frown: Show that the moment of inertia of a uniform thin rod of mass M and length l about an axis perpendicular to the rod through its centre is \frac{Ml^2}{12} What is the moment of inertia of the rod about a parallel axis a distance x from the...
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    Taylor Expansion for ln(1+x)/(1-x) About x=0

    Hi I wonder if there is a simpler way to obtain the first three non-zero terms of Taylor Expansion for the function \frac{Ln(1+x)}{1-x} about x=0? I differentiated it directly, but it was such a nightmare to do:mad: . So I am wondering if there is a simpler way to do it?
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    Understanding Parametric Equations: Conflicting Answers Explained

    two conflicting answers? I was doing a question on differentiate parametric equations which has this result \frac{dy}{dx}=\frac{4sin(4\theta)}{sin\theta}. it then asks what the value of \frac{dy}{dx}would be if \theta=0. if I substitute \theta=0 into \frac{4sin(4\theta)}{sin\theta} than I get...
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    What is the second part of the question asking?

    Ok, does it mean, taking the function v for example. the locus would be given by |(x+4) + (3+y)i+1+i| = 8 which is |(x+5)+(4+y)i|=8 where z in |z+1+i| = 8 is replaced by the new "function" v=(x+4) + (3+y)i? Thanks
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    What is the second part of the question asking?

    Hi I was asked to do a question on Complex numbers. Here is the question Describe fully the curve in the Argand diagram whose equation is |z + 1 + i| = 8 . Describe fully the three loci determined, as z moves round this curve, by the three complex numbers u, v and w defined as follows...
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    How Do Photon Energies Vary in Relativistic Particle Decay?

    oh i see, why didn't i not realize that before! thanks a lot. So I say that in the zero momentum frame, each photon has same amount of energy i.e. half of the original energy, so use this energy the original emitted frequency can be calculated, than use the Doppler effect for light calculate the...
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    How Do Photon Energies Vary in Relativistic Particle Decay?

    I have this question. Give relativistic expressions for the energy E and the magnitude of the momentum p of a particle of mass m moving at speed v. The expression E^2 − p^2c^2 is an invariant in the Special Theory of Relativity. Explain what this means and state the value of the invariant for...
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    Not sure about my solution (fictionless Pulley)

    Ok that makes sense ^_^ I'll try it. thanks again
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    Not sure about my solution (fictionless Pulley)

    Masses m and 2m hang from opposite ends of a string passing over a light, frictionless pulley. What is their acceleration? I said that the total unblalance force on the two objects is 2mg-mg=mg and the total mass is 2m+m=3m So the acceleration a is a=mg/3m=g/3 Is this right? could...
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    Another Solution check Please. (cylinder rolling down a slope)

    Oops sorry about the typo, yes I mean1/2h0. Is this constant angular speed as it slides up the incline equal to the final augular speed it obtained during the rolling down from the other slope? I don't know if this is right, but is it because rolling and sliding happen at same time, so...
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    Another Solution check Please. (cylinder rolling down a slope)

    Sorry here is another question that I am not sure of 1. A cylindrical hoop rests on a rough uniform incline. It is released and rolls without slipping through a vertical distance h[SIZE="1"]0. It then continues up a perfectly smooth incline. What height does it reach? Here is my...
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