Question

Using the Bohr’s model calculate the speed of the electron in a hydrogen atom in the n = 1, 2, and 3 levels.

Please solve this

Answer 1

here is your ans in pic

Answer 2

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 10-34Js

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/ n32ε0h

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

   = 7.27 x 106 m/s