Question

If the luminosity of a star with mass M is greater than its Eddington luminosity (L > LEdd), any gas residing in its vicinity will be ejected. If the gas cloud made of fully ionized hydrogen starts from rest at a distance R from the center of the star, show that the terminal velocity of the cloud is given by: vt = [2GM/R * (L sigmaT/4piGMmpc) - 1]^1/2 where sigma T is the Thomson cross section for electrons.

Name: if the luminosity of a star with mass m is greater than its eddington luminosity l ledd any gas residing in its vicinity will be ejected if the gas cloud made of fully ionized hydrogen start 38094
Uploaded: 2023-09-17T06:13:06-08:00
Duration: 7 min 32 s
Channel: Adi S
Description: if the luminosity of a star with mass m is greater than its eddington luminosity l ledd any gas residing in its vicinity will be ejected if the gas cloud made of fully ionized hydrogen start 38094

          If the luminosity of a star with mass M is greater than its Eddington luminosity (L > LEdd), any gas residing in its vicinity will be ejected. If the gas cloud made of fully ionized hydrogen starts from rest at a distance R from the center of the star, show that the terminal velocity of the cloud is given by:

vt = [2GM/R * (L sigmaT/4piGMmpc) - 1]^1/2

where sigma T is the Thomson cross section for electrons.

Added by Carmen J.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Adi S

09/17/2023

Step 1

Step 1: Start with the equation for the force of gravity on the gas cloud at a distance R from the center of the star: F_gravity = GMm_cloud/R^2 Show more…

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If the luminosity of a star with mass M is greater than its Eddington luminosity (L > LEdd), any gas residing in its vicinity will be ejected. If the gas cloud made of fully ionized hydrogen starts from rest at a distance R from the center of the star, show that the terminal velocity of the cloud is given by: vt = [2GM/R * (L sigmaT/4piGMmpc) - 1]^1/2 where sigma T is the Thomson cross section for electrons.