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

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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
Transcribed Image Text: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
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