What condition must be met for a cloud to undergo Jeans instability and begin collapsing?

Answer

Gravity must overcome the internal thermal pressure of the gas

Jeans instability is the physical condition where a cloud becomes large and cold enough that its internal thermal pressure is insufficient to support its own weight against gravity. Normally, gas particles move with enough thermal energy to push outward, creating pressure that resists collapse. When gravity becomes strong enough to overpower this outward-pushing thermal pressure, the cloud loses its equilibrium and begins an inevitable gravitational collapse. This balance between gravity and thermal pressure is the fundamental determinant of whether a cloud will maintain its state or start forming a stellar core.

What condition must be met for a cloud to undergo Jeans instability and begin collapsing?
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