Modern Physics AND Relativistic Physics Formula Sheet PDF

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MODERN PHYSICS AND RELATIVISTIC PHYSICS 𝐼(𝜆, 𝑇) =

2𝜋ℎ𝑐 2 𝜆5

1

ℎ𝑐 𝑒 𝜆𝑘𝑇−1

m axT = 2.898  10 − 3 m.K ;

;

E = hf ; 𝜆𝑓 = 𝑐; K m ax = hf −  o ; ∆𝐾 = 𝑞∆V ;

1 𝜆

=

1 𝑚𝑒 𝑒 4 ( 8𝜀0 ℎ 3𝑐 𝑛12

−

= 1

𝑛2

2

1

𝑣2

√1 − 2 𝑐

𝐿=

𝐿𝑃 𝛾

If v < 0.1c: K = ½ mv2 Nuclear Physics:

∆𝜏 = 𝛾∆𝜏𝑃

h p

  = '− 0 = 7

) = 1.0973 ∙ 10 (

𝑥′ = 𝛾(𝑥 − 𝑣𝑡); 𝑦 ′ = 𝑦 ; 𝑧 ′ = 𝑧; 𝑡 ′ = 𝛾(𝑡 − 𝛾=

4

P = AeT  = 5.67  10−8

𝑣 𝑐2

1 𝑛 12

−

W 2 4 m .K

h (1 − cos  ) m ec

1 ) 𝑚−1 𝑛22

;

∆𝑥∆𝑝𝑥 ≥

ℏ

2

𝑥)_|_ 𝑥 = 𝛾(𝑥′ + 𝑣𝑡′); 𝑦 = 𝑦’; 𝑧 = 𝑧′; 𝑡 = 𝛾(𝑡′ +

𝑓𝑜𝑏𝑠 =

√1 +

𝑣

𝑐

𝑓 ; 𝑢𝑥 ′ = 𝑣 𝑠𝑜𝑢𝑟𝑐𝑒

√1 − 𝑐

𝑢𝑥 −𝑣

𝑣 1−𝑐2 𝑢𝑥

; 𝑢𝑥 =

𝑢𝑥′ +𝑣 𝑣

1+ 2𝑢𝑥′ 𝑐

𝑣 𝑐2

𝑥′)

;

2 2 2 2 2 2 If v > 0.1c: K = E − m o c = ( − 1) m o c and E = ( pc) + (m o c )

R = 1.2 fm( A)1 / 3

;

N

N0 e

t

𝑑𝑁

; 𝑅 = | | = 𝜆𝑁 𝑑𝑡...