Electrostatics question. just need a bit direction.

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The forum discussion centers on a theoretical exploration of the expansion of the Universe as proposed by Lyttleton and Bondi in 1959, specifically addressing the implications of charged hydrogen atoms. The charge on the proton is defined as ep = – (1 + y)e, where e represents the electronic charge. Participants discuss the critical value of y necessary for expansion to commence and establish that the velocity of expansion is proportional to the distance from the center, emphasizing the need for electric repulsion to surpass gravitational attraction between hydrogen atoms.

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PrashntS
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I was trying to solve this one, but couldn't come up with any way to start.

In 1959 Lyttleton and Bondi suggested that the expansion of the Universe could be explained if matter carried a net charge. Suppose that the Universe is made up of hydrogen atoms with a number density N, which is maintained a constant. Let the charge on the proton be: ep = – (1 + y)e where e is the electronic charge.
(a)Find the critical value of y such that expansion may start.
(b)Show that the velocity of expansion is proportional to the distance from the centre.

Attempt at solution-

since charge assumed on proton is -(1+y)e, there is net charge in atom. also the force is repulsive, not attractvie. I started with taking a spherical gaussian surface and thts it! i couldn't go any further.
 
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Gravity between the hydrogen atoms is an attractive force. The extra charge has to be so great that electric repulsion overcome gravitational attraction.

ehild
 
ehild said:
Gravity between the hydrogen atoms is an attractive force. The extra charge has to be so great that electric repulsion overcome gravitational attraction.

ehild

by this, do you refer to force inside the atom, between electron and proton, or between atoms.

and thanks fir quick reply. :-)
 
PrashntS said:
by this, do you refer to force inside the atom, between electron and proton, or between atoms.

and thanks fir quick reply. :-)

Between the atoms.

ehild
 

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