Doc 117 b p s xi chemistry iit jee advanced study package 2014 15

Page 58

KEY CONCEPT STRUCTURE OF ATOM Rutherford's Model Bohr's Model Wave mechanical model EXTRA NUCLEAR PART (e− ) Electrons,protons & neutrons are the most important fundamental particles of atoms of all elements (Except hydrogen) Some uncommon Fundamental particles : 1. XA , A = Z + n Z 1 1 1 mM = + = m = mass of e– ; M = Mass of nucleus µ M m m+M

2.

Reduced mass

3.

Photon is considered massless bundle of energy. But to find its mass use m =

4.

E = mc2 , E = hν = hc/ λ = hc ν

5.

Quantum efficiency or Quantum Yield =

6.

Rn = R1 (A)1/3 , R1 = 1.33 ×10–13 cm

7.

no. of molecules reacting no. of quanta absorbed A = mass number

θ 1 1 Z . 2e m α v α2 = K e ; Tan α 2 b 2 r 1 number of a particles at θ = K 4 ; sin θ / 2 1

1

h λc

b = impact parameter

1  2 ×Z 2 2  n1 n 2 

=ν=R H 

8.

Rydberg’s Equation λ

9. 10.

Limiting spectral line (series limit) means n2 = ∞ Hα line means we know n1 , n2 (longest λ , shortest ν , least E) [ Hα , Hβ , Hγ , Hδ ] n (n − 1) No. of wavelengths observed in the spectrum = 2 when e– deexcites to ground state , n = no. of higher orbit

11. 12.

1/2 mv2 = hν – hν 0(w) (work function or B.E.) hc ν 0 = Threshhold frequency W = hν 0 = λ 0

13.

Accelerating potential = eV = KE =

14.

λ = hc/E = 1240 ev. nm

15.

K=

1

4πε

; P.E. = 0

16.

mvr = n·

17.

En =

1 2 mv 2

K q1 q 2 centrifugal force = mv2/r r

h = n . 2π

E1 2 z 2 n

=–

2 4 2π 2 me 4 2 − 2π me z ; E = 1 2 n2h2 h

3


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