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MHT-CET : Physics Entrance Exam

MHT - CET : Physics - Atoms Molecules and Nuclei Page 4

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Hydrogen Atom

Principle quantum number 'n'

Radius of orbit

rn =

e0n2h2

 

pm e2

(10-10) m

Velocity of
electron

vn =

e2

 

2e0nh

106 (m/s)

Total energy

E =

-1

 

e4m

 

 

8e02

n2h2

(eV)

1

r1 = 0.53

v1 = 2.18

E1 = - 13.58

2

r2 = 4r1 = 2.11

v2 =

v1

= 1.09

 

2

E2 =

E1

= - 3.4

 

4

3

r3 = 9r1 = 4.75

v3 =

v1

= 0.73

 

3

E3 =

E1

= - 1.51

 

9

4.

r4 = 16r1 = 8.45

v4 =

v1

= 0.54

 

4

E4 =

E1

= - 0.85

 

16

5.

r5 = 25r1 = 13.20

v5 =

v1

= 0.44

 

5

E5 =

E1

= - 0.54

 

25

 

1

=

R

1

-

1

 

 

 

l

n12

n22

 

 

 

Balmer series for Hydrogen Atom (n1 = 2)

Value of n2

10-10ml

Designation line

Region

3

la = 6564.7

Ha :

la =

36

 

5R

Red

4

lb = 4862.7

Hb :

lb =

16

 

3R

Blue

5

lg = 4340.5

Hg :

lg =

100

 

21R

Violet

6

ld = 4101.7

Hd :

ld =

9

 

2R

Ultraviolet

"

 

 

Convergence limit

 

 

6.

Composition of Nucleus

 

 

Composition of Nucleus:

  • contains nucleons, i.e. protons and neutrons
  • atomic number (Z) = number of protons
  • atomic mass number (A) = number of protons (Z) + number of neutrons (N)

Symbol representing element X: ZXA
The atomic mass unit : (amu)

1 amu =

1

mass of one C12 atom.

 

12

 

 

 




 

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