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    Velocity of a rocket in the earth moon system

    Hi all! I've just finished writing a program in python that determines the position of a rocket in the earth moon system. Initially it is in circular orbit around the earth and then it is given a velocity boost at some point in it's orbit to make it travel to the moon. I started all 3 bodies...
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    Crystal Structure Lattice Problem

    1. Homework Statement Using the powder XRD data below, show that the substance has a face centred cubic structure. (xray lamda = 0.154056 nm) Peak No.------2(theta) 1 -------------38.06 2 -------------44.24 3 -------------64.34 4 -------------68.77 5 -------------73.07 2...
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    Determine crystal lattice structure from powder XRD

    Homework Statement Using the powder XRD data below, show that the substance has a face centred cubic structure. (xray lamda = 0.154056 nm) Peak No.------2(theta) 1 -------------38.06 2 -------------44.24 3 -------------64.34 4 -------------68.77 5 -------------73.07 Homework...
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    Problem with stokes' theorem

    Homework Statement Let: \vec{F}(x,y,z) = (2z^{2},6x,0), and S be the square: 0\leq x\leq1, 0\leq y\leq1, z=1. a) Evaluate the surface integral (directly): \int\int_{S}(curl \vec{F})\cdot\vec{n} dA b) Apply Stokes' Theorem and determine the integral by evaluating the corresponding...
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    Signal to noise ratio/CCD saturation problem

    Homework Statement A 4m telescope has a 16bit controllr with a gain of 1 and must detect faint stars(M>15) without saturating the bright stars(M=8-10). (i) What is the max no of photo-electrons that can be registered before saturating the CCD? (ii) The zero point of the system is...
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    Infinite potential well/eigenfunction problem!

    Homework Statement Consider a particle of mass, m inside the potential: V(x) = 0 for 0<x<L and infinite Otherwise (i) Write down the normalised ground state and first excited state energy eigenfunctions? (ii) Use the ground state wave function to calculate the expectation value of the...
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    Normalize the wave function and more Please help

    normalize the wave function and more!! Please help!!! Homework Statement i) Normalize the wave function ii) Calculate <x> iii) Calculate <x^{2}> iv) What would happen if a < 0? Homework Equations \psi\left(x\right) = N\left(1+i\right)exp\left(-a|x|\right), for -inf...
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    Double integral by changing order and limits

    Homework Statement Evaluate the following double integral by changing the order of integration: ∫(lower 0 and upper 1)∫ (lower √x and upper 1) sin(((y^3)+1)/2) dydx [b]2. Homework Equations In case it's not clear from above! y is between √x and 1, and x is between 0 and 1. The...
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    What values of a and b satisfy the following wave equation?

    Homework Statement For which values of the constants a and b does u(x,t) = sin(ax)sin(bt) satisfy the wave equation Utt = C2uxx? Homework Equations The Attempt at a Solution I've taken the partial differentials: Ux = acos(ax)sin(bt) Uxx = -a2sin(ax)sin(bt) Ut = bcos(bt)sin(ax)...
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