University:
Eastern Kentucky University
Course:
PHY 302 | Modern Physics
Academic year:

2021
Views:

380

Pages:

1
Author:

rezancuk2j

F or m u l ae 6 Ph y si cs S h e e t f or | pg. 11 Modern Physics N N0 Population at time t: N = N0 e 6.1: Photo-electric effect −λt N0 2 Photon’s momentum: p = h/λ = E/c Half life: t1/2 = 0.693/λ Max. KE of ejected photo-electron: Kmax = hν − φ Average life: tav = 1/λ Threshold freq. in photo-electric effect: ν0 = φ/h hc e  1 λ − hc e φ e φ hc − eφ t Population after n half lives: N = N0 /2n . Mass defect: ∆m = [Zmp + (A − Z)mn ] − M V0 Stopping potential: Vo = t1/2 O Photon’s energy: E = hν = hc/λ 1 λ Binding energy: B = [Zmp + (A − Z)mn − M ] c2 Q-value: Q = Ui − Uf de Broglie wavelength: λ = h/p = ∆mc2 Energy released in nuclear reaction: ∆E where ∆m = mreactants − mproducts . 6.2: The Atom 6.4: Vacuum tubes and Semiconductors Energy in nth Bohr’s orbit: En = − mZ 2 e4 , 80 2 h2 n2 13.6Z 2 eV n2 Half Wave Rectifier: a0 = 0.529 Å Full Wave Rectifier: En = − D ˜ Radius of the nth Bohr’s orbit:  0 h2 n2 , πmZe2 rn = rn = n2 a 0 , Z nh Quantization of the angular momentum: l = 2π Photon energy in state transition: E2 − E1 = hν E2 ˜ Output Grid Triode Valve: Cathode Filament Plate E2 hν E1 R Output hν E1 Absorption Emission Plate resistance of a triode: rp = Wavelength of emitted radiation: for from nth to mth state:   1 1 1 = RZ 2 2 − 2 n λ m a transition Moseley’s law: ∆Vg =0  ∆ip  ∆Vg  ∆Vp =0  ∆Vp  ∆Vg ∆i =0 p Relation between rp , µ, and gm : µ = rp × gm Kα Kβ hc eV Ie λmin √ Transconductance of a triode: gm = Amplification by a triode: µ = − I X-ray spectrum: λmin =  ∆Vp  ∆ip  λα λ Ib ν = a(Z − b) X-ray diffraction: 2d sin θ = nλ α and β parameters of a transistor: α = Ic α , β = 1−α Ib Heisenberg uncertainity principle: ∆p∆x ≥ h/(2π), ∆E ∆t ≥ h/(2π) Transconductance: gm = 6.3: The Nucleus Nuclear radius: R = R0 A1/3 , Decay rate: dN dt Ic Current in a transistor: Ie = Ib + Ic = −λN R0 ≈ 1.1 × 10−15 m Ic , Ie ∆Ic ∆Vbe Logic Gates: A 0 0 1 1 B 0 1 0 1 AND AB 0 0 0 1 OR A+B 0 1 1 1 NAND AB 1 1 1 0 NOR A+B 1 0 0 0 XOR AB̄ + ĀB 0 1 1 0 β =

Formula Sheet for Physics Modern Physics

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