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  • The wavelength of a probe is roughly a measure of the size of a structure that it can probe in some detail. The quark structure of protons and neutrons appears at the minute length-scale of 10 power minus 15 m or less.

Q: 11.34 The wavelength of a probe is roughly a measure of the size of a structure that it can probe in some detail. The quark structure of protons and neutrons appears at the minute length-scale  of  10^-^1^5\hspace{1mm}m or less. This structure was first probed in early 1970’s using high energy electron beams produced by a linear accelerator at Stanford, USA. Guess what might have been the order of energy of these electron beams.

  (Rest mass energy of electron =0.511\hspace{1mm}MeV.) 

Answers (1)

Rest mass of the electron 

=mc^2=0.511MeV

Momentum 

P=\frac{h}{\lambda}

=\frac{6.63\times ^{-34}}{10^{-15}}

using the relativistic formula for energy

E^2=(CP)^2+(mc^2)^2

=(3\times10^8 \times 6.63\times 10^{-19})^2+(0.511\times1.6\times10^{-19})^2

\approx 1.98\times10^{-10} J

 

Posted by

Safeer PP

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