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If the half life of a particle is 4.5 how long will it decay 3/4 of its mass.

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Question: If the half life of a particle is 4.5 how long will it decay 3/4 of its mass.

The time it takes for a particle to decay to 3/4 of its initial mass can be found using the concept of half-life. 


If the half-life of the particle is 4.5, this means that after 4.5 units of time, half of the original mass will have decayed. After another 4.5 units of time (for a total of 9 units of time), half of the remaining mass will have decayed, leaving 1/4 of the original mass. 


To find the time it takes for the particle to decay to 3/4 of its initial mass, we need to find how many half-lives it takes for the mass to decay to that level. Since 3/4 of the original mass is halfway between the initial mass and 1/2 of the initial mass (which occurs after one half-life), we can say that it takes one and a half half-lives for the particle to decay to 3/4 of its initial mass. 


Therefore, the time it takes for the particle to decay to 3/4 of its initial mass is:


1.5 x 4.5 = 6.75 units of time


So, it takes 6.75 units of time for the particle to decay to 3/4 of its initial mass.


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