Questions asked by GB

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• What is the reason behind the fact that natural systems always tends to evolve towards configuration of minimum potential energy?
  
• Why,in many problems,in order to get the Laurent series of a function at its singular point,Taylor series is used?For example to find Laurent expansion of zcos(1/z) about z=0,Taylor expansion of cos(1/z) about z=0 is used whereas it is its singular point.
  
• How to know that the poles of #sinz/{zcosz}# at 0,+π/2 &-π/2 are simple poles?
  
• Ordinary boron is a mixture of 10B5(mass no=10,atomic no=5)&11B5(mass no=11,atomic no=5)isotopes & has a composite atomic mass of 10.82u.What percentage of each isotope is present in ordinary boron?
  
• Show that the nuclear density of 1H1(mass no-1&atomic no-1)is over 10^14 times greater than its atomic density (assume the atom to have the radius of the first Bohr orbit).In this question,what should I put for nuclear mass&atomic mass?
  
• Why a free proton in nuclear physics is always assigned by 1H1(mass no 1 &atomic no1) and whenever proton mass is used,mass of 1H1 is written, what is the reason?
  
• How to find the normalized form of an eigenvector if that eigenvector has a complex element ,forexample find the normalized form of [1/√2;i/√2;1/√2]?
  
• Why smaller mass has higher kinetic energy?