Centripetal acceleration of electron

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SUMMARY

The discussion focuses on calculating the centripetal acceleration and force acting on an electron in the Bohr model of the hydrogen atom. Given a radius of 5.3 x 10-11 m and a frequency of 6.6 x 1013 revolutions per second, the centripetal acceleration can be determined using the formula ac = 4π2rf2. The mass of the electron is specified as 9.1 x 10-31 kg, which is essential for calculating the centripetal force due to the attraction between the nucleus and the electron.

PREREQUISITES
  • Understanding of the Bohr model of the hydrogen atom
  • Familiarity with centripetal acceleration formulas
  • Knowledge of basic physics concepts such as mass and force
  • Ability to perform calculations involving scientific notation
NEXT STEPS
  • Study the derivation of the centripetal acceleration formula ac = v2/r
  • Learn about the implications of the Bohr model on atomic structure
  • Explore the relationship between frequency and angular velocity in circular motion
  • Investigate the forces acting on charged particles in electromagnetic fields
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in atomic physics and the dynamics of charged particles in circular motion.

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Homework Statement


In the Bohr model of the hydrogen atom, the electron revolves around the nucleus. If the radious of the orbit is 5.3x10^-11 m and the electron makes 6.6^13 r/s find

a)the acceleration of the electron and
b)the centripetal force acting on the electron. (this force is due to the attarction between the positively charged nucleus and the negatively charged electron) The mass of the electron is 9.1x10^-31

Homework Equations



ac = 4pi^2rf^2



The Attempt at a Solution


im not quite understanding part a). its asking for the acceleration of the electron but how can you find acceleration ? isn't it centripletal acceleration?
could someone direct me in the right direction ? do i use ac = 4pi^2rf^2 ?
 
Physics news on Phys.org
yes it is asking for the centripetal acceleration, ac which is given by

a_c=\frac{v^2}{r}=v\omega = \omega^2 r
 

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