Bohrs Atomic Model

Question 1

When electrons are revolving in their respective permitted orbitals

Answer 1

They do not radiate energy

Question 2

Permitted orbits are

Answer 2

Stationary and non-radiating orbitals

Question 3

Bohr’s frequency condition

Answer 3

v = (E’ -E)/h

Question 4

Bohrs radius

Answer 4

0.529 A ~= 0.53A

Question 5

Time period of orbital motion in Bohrs orbital

Answer 5

1.52 x 10^-6 s

Question 6

Frequency in Bohrs orbital

Answer 6

6.5757 x 10^15 cps

Question 7

Orbital radius

Answer 7

rn = e•/(||m) x [nh/e]^2

Question 8

Orbital velocity

Answer 8

vn= 1/2e• x e^2/nh
Or
vn= 1/4||e• x 2||e^2/nh

Question 9

Orbital frequency

Answer 9

fn= m/(2e•)^2 x e^4/(nh)^3

Question 10

Total energy

Answer 10

T= K+U

K=-T
U=2T

Question 11

Energy equations

Answer 11

T= -[1/4||e•]^2 x [2||me^2/(nh)^2]

K= [1/4||e•]^2 x [2||me^2/(nh)^2]

U= -2 x [1/4||e•]^2 x [2||me^2/(nh)^2]

Question 12

Fine structure constant

Answer 12

Alpha = [1/4||e•] x [2||e^2/ch]

Alpha= 1/137

Alpha= 0.0073

Question 13

Orbital velocity in terms if fine structure constant (&)

Answer 13

vn = (c/n) x &

Question 14

Relations of orbital radius,velocity and energy with orbital number

Answer 14

rn ~ 1/n^2

vn ~ 1/n

|E| ~ 1/n^2