1) a) Calculate the Jeans length for the dense core of a giant molecular cloud with T=10 K, n = 1010/m³, and µ=2. b) Estimate the adiabatic sound speed for this core, using y=5/3. c) Use this speed to find the amount of time required for a sound wave to cross the cloud t;=2R/Vs. d) Compare your answer with the free-fall scale and comment your results.
1) a) Calculate the Jeans length for the dense core of a giant molecular cloud with T=10 K, n = 1010/m³, and µ=2. b) Estimate the adiabatic sound speed for this core, using y=5/3. c) Use this speed to find the amount of time required for a sound wave to cross the cloud t;=2R/Vs. d) Compare your answer with the free-fall scale and comment your results.
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i have attached some of the formulas that will be helpful. Thank you.
Transcribed Image Text:Helpful k quations.
fart a: Jeans length
1/2
15 KT
4T P GMMM.
RJ
fart b:
Im not sure what egaations to use-
I think you can use this:
r- 2
M1よp
......E
Giren
Part e T#
.......
32
..............
Transcribed Image Text:1) a) Calculate the Jeans length for the dense core of a giant molecular cloud with T=10 K, n =
1010/m³, and µ=2.
b) Estimate the adiabatic sound speed for this core, using y=5/3.
c) Use this speed to find the amount of time required for a sound wave to cross the cloud
t3=2Rj/vs.
d) Compare your answer with the free-fall scale and comment your results.
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