Recent content by phymath7

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    I Question on an infinite summation series

    Is the infinite series ##\sum_{n=1,3,5,...}^\infty \frac {1} {n^6}## somewhat related to the Riemann zeta function?The attached image suggest the value to be inverse of the co-efficient of the series.Is there any integral representation of the series from where the series can be evaluated?
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    Question about a problem from 'Optics' by Eugene Hecht

    That's what I mentioned in the statement. I found the least thickness to be 173 nm. So 25 nm is not enough to produce fringe pattern? What about if the width was 200 nm. Would that be enough to answer the question(what about the order of the fringe)?
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    Question about a problem from 'Optics' by Eugene Hecht

    The context is the condition for constructive interference with thin film that is derived in the mentioned book of 5th edition.
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    Question about a problem from 'Optics' by Eugene Hecht

    As the value of cos##\theta_{t}## comes out to be greater than 1 so I tried to calculate the minimum value of d the thickness of film which turned out to be approximately 173 nm. Which clearly reflects the fact that the thickness is not enough to produce the fringes. Am I right? Is the question...
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    I Infinite value of amplìtude of an undamped driven oscillator at resonance

    The simplest version I know: Energy supplied to the system is equal to the change in kinetic energy
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    I Infinite value of amplìtude of an undamped driven oscillator at resonance

    I wonder how this can be explained by the work-energy theorem.
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    I Infinite value of amplìtude of an undamped driven oscillator at resonance

    So if we set the damping constant ##\beta=0## that is if we consider an undamped oscillator the amplitude becomes infinity! What is the physical meaning of this phenomena? As we know energy fed into the system is proportional to ##A^2##. So does this mean that an infinite amount of energy is...
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    B Is the Speed of Light Consistent Across Rotating Reference Frames?

    Does the 2nd postulate of special relativity imply that if I shift the origin of a co-ordinate system to make another(without rotation),only then the speed of light is constant in both reference frame but so is not true when I do the shifting with rotation?
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    B Is the Speed of Light Consistent Across Rotating Reference Frames?

    Thanks. But a detailed work on this topic would be appreciated (from books or notes).
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    B Is the Speed of Light Consistent Across Rotating Reference Frames?

    Does it violate the postulate of special relativity in any sense?
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    About critical damping resistance of a ballistic galvanometer

    I need the relationship between ##\lambda## and ##R_2## which represents a hyperbola.How am I supposed to get that?
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    About critical damping resistance of a ballistic galvanometer

    Did you write the explicit relation between ##\lambda## and ##R_2## ?Do you see how complex this one? I am afraid that it's beyond my (and even for those who are more advanced) capability to do the fitting.
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    About critical damping resistance of a ballistic galvanometer

    The denominator "I" is the moment of inertia of the coil of galvanometer.
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