3 5 6 W E R T S D F G X CV B alt I N C 8 0 J K L M P pause 7 5 Statistical Physics II 202 Practice problem 1 1. Starting from the probability P (U) d³ v = (2πTH BT BT) 3/2 exp (- mv² d³ v 2kBT that the velocity is between and + du determine: a) The probability P₁(v) dv that the magnitude of the velocity is between v and v+ dv, b) the average v³ of the third power of the velocity magnitude, c) the standard deviation Ãv = √√(v - v)² of the velocity magnitude )2

3 5 6 W E R T S D F G X CV B alt I N C 8 0 J K L M P pause 7 5 Statistical Physics II 202 Practice problem 1 1. Starting from the probability P (U) d³ v = (2πTH BT BT) 3/2 exp (- mv² d³ v 2kBT that the velocity is between and + du determine: a) The probability P₁(v) dv that the magnitude of the velocity is between v and v+ dv, b) the average v³ of the third power of the velocity magnitude, c) the standard deviation Ãv = √√(v - v)² of the velocity magnitude )2