Question

Using Bohr's model ,calculate the orbital time period of the electron in H-atom in = 1 level..​

Answer 1

(a) v is the orbital speed of the electron in the hydrogen atom in level n.

v=

n

1

4πϵ

o

(h/2π)

e

2

For n=1, →v

1

=2.18×10

6

m/s

For n=2, →v

1

=1.09×10

6

m/s

For n=3, →v

1

=7.27×10

5

m/s

(b) Orbital perios is given by T=

v

2πr

;v=velocity

Radius, r=

πme

2

n

2

h

2

ϵ

o

So,

T

1

=1.527×10

−16

, n=1

T

2

=1.22×10

−15

, n=2

T

3

=4.12×10

−15

, n=3