Q1. A certain radioactive material is known to decay at a rate proportional to the amount present. If initially there are100 milligrams of the material present and if after two years it is observed that 5 percent of the original mass has decayed, find (a) an expression for the mass at any time t and (b) the time necessary for 10 percent of the original mass to have decayed.

Q: A certain radioactive material is known to decay at a rate proportional to the amount present. If…

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Q: The following function represents the amount of the radioactive material present at time t (in…

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Q: The following function represents the amount of the radioactive material present at time t (in…

A: Decay simply means the disintegration(loss of mass) of any material. If the material is radioactive…

Q: A certain radioactive material is known to decay at a rate proportional to the amount present. If…

A: Percentage : Percentage of the item is 100th part of the number.  It is denoted by x% or written as…

Q: If initially there are 50g of a radioactive substance and after 3 days, there are only 10g…

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Q: An archaeological sample contains 0.622 g of lead-206 and 2.198 g of uranium-238. Assume that all…

A: Given that :- Mass of Lead=0.622g and Mass of Uranium=2.198g Decay rate for uraniumλ=1.54×10-10/year…

Q: A certain element decays at a rate of .000163/year. Of a piece of this element of 450 kg, how much…

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Q: A certain radioactive material is known to decay at a rate proportional to the amount present. If…

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Q: A certain radioactive material is known to decay at a rate proportional to the amount present. If…

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Q: A certain radioactive material is known to decay at a rate proportional to the amount present. If…

A: In mathematics, two varying quantities are said to be in a relation of proportionality,…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.