If protons have a half-life of 10³¹ years,what fraction of the original protons have decayed during the 10¹ year existence of the universe?

Question

Quizplus · Accepted Answer

The half-life of protons, if it exists, is significantly longer than the current age of the universe (around $10^{31}$ years vs. $10^{10}$ years). Thus, in the 10 billion years (or $10^{10}$ years) since the universe has existed, virtually none of the original protons would have decayed. The fraction would be so small that it is less than any of the values provided in the options.

If Protons Have a Half-Life of 1031 Years,what Fraction of the Original

If Protons Have a Half-Life of 10³¹ Years,what Fraction of the Original