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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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