Probability. Answer Key # 11 - Edubirdie

University:
Santa Fe College
Course:
PHY 2048 | General Physics 1 with Calculus
Academic year:

2024
Views:

481

Pages:

6
Author:

Jabin F.

Prob. Two distinguishable coins A & B are tossed simultaneously write total no. of microstates, no. of accessible microstates $ no. of macrostates. Solh Head & Tail n₁ = no. of Coins that have head up 2 = 11 have tail up. (ni, m₂) Coins having Head Up Coins having tail up (No. of microstades (2,0) AB (1,1) A B 2 (0,2) B A AB Total no. of microstates = 4 Total no. of macrostate (2)~, N= 2, = 3 = 2 2 = 4 No of microstre #If mi no. Identical particles are disting distributed over gi no. of single particle (verstok) microstates energy states, then no. of 1. M-B Statistics or classical statistiss CJ. M.B = (8) B-E statistics B-E = (mi+gi-1)! m! (gi-1)! (Identical Boson) F-D Statistics Identica formlong = ni! (di-ni)! (max. one particle in each State) or gizmi # If N Identical particles are distributed over i-levels or groups as n, particles in I-group with degeneracy J. As pa na particles in II-Group with deg. 2 M3 ni II Group - (-th group 93 ?B Eni = N, then Total no. of microstates ? SMB = 7 (2)m ? (nitgi-1) 2. 28-6 !lgi)! i 3. LF.D = T dicni # Calculate the no. of microstater When N distinguishable particles in Which there aren, particles in state are distributed over 2 groups as r particles in 1-group & (N-r) i in Sol I-group. = Ng = N N! N-r=r! (N-1)! ४! # Calculate the microstater (no. of ways) When N distinguishable Particles are distributed over ¿-groups as - n, particles 1- group 2 group 2 1 : Mi i- group. The no. of ways to select ni particles Out of N Particles N! n!(N-1)! The no. of ways for select ₂ particles for group-2 out of (N-ni) particles N-n (N-1)! C₂₂! (N--₂)! = Similarl 3 = 13 N-ni---ni- Cmi = ⇒ Total no. of microstater Nani x (N-1)! X 13 = - IN ⇒ The Probability of a macrostate ((-th)→ Pi = Ni i= the no. of microstates of i-th Macro state %. 2 = Total no. of microstates

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