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Find the speed of the electron …

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Find the speed of the electron in the ground state of a hydrogen atom
  • 1 answers

Yogita Ingle 6 years, 11 months ago

Let, electron of hydrogen atom at ground state n1=1

v1=e2/n14πε0(h/2π)= e2/2ε0h

 where, e = 1.6 x 10-19C, ε0= 8.85 x 10-12 /NC2/m2, h = 6.62 x 10-34 Js

then,

v1=e2/2ε0h

   = (1.6 x 10-19)2/ 2x2x8.85 x 10-12 x 6.62 x 10-34

   = 1.09 x 106 m/s

for n3 = 3,

then,

v1=e2/ n30h

   = (1.6 x 10-19)2/ 3x2x8.85 x 10-12 x 6.62 x 10-34

   = 7.27 x 106 m/s

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