A rock that contains 1.2x10-12 mol of 232Th (t1/2 = 1.4x1010 yr) has 4.2x10$ fission tracks, each track representing the fission of one atom of 232Th. How old is the rock?
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- Please help me answer the following.You are training for an upcoming Physics Olympics competition. Your coach gives you the following problem and a short time interval to solve it: For radioisotopes with very long half-lives, we cannot measure the half-life in the laboratory, because the activity does not change enough in a reasonable time interval to generate a graph like in the figure below. N(1) Nor No N=Noe The time interval T₁/2 is the half-life of the sample. T1/2 271/2 Ⓡ But suppose you have been given a sample of pure 115In that has been gathered from meteoroids. The sample has a mass of 94.1 g and has a measured activity of 24.5 Bq. Quick! Determine an estimate f the half-life of 1151n (in years). Your future as a Physics Olympic team member depends on your answer! угPotassium-argon dating is used to measure the age of rocks formed from cooled lava by determining the fraction of the original 40K remaining in a sample from the ratio of 40K:40Ar. Unusually, potassium-40 decays into both 40Ca (89.1% of the time) and 40Ar (10.9% of the time) with a half-life of 1:248 x 10^9 years.1. What is the calculated age of a sample in which the faction of 40K remaining was found to be 0.0043?2. Is this result physically plausible?
- The radioactive isotope of lead ^209Pb decays according to the differential equation dN/dt=-kN. The isotope has a half-life of 3.3 Hours. If 1 gram is presented initially, how long will it take for 78% of the lead to decay?An unstable isotope of cobalt, 60Co, has one more neutron in its nucleus than the stable 59Co and is a beta emitter with a half-life of 5.30 years. This isotope is widely used in medicine. A certain radiation source in a hospital contains 4.20×10−2g of 60Co A) What is the decay constant for that isotope? Express your answer with the appropriate units. B) How many atoms are in the source? C) How many decays occur per second? Express your answer as a number of decays per second. D) What is the activity of the source, in curies? Express your answer in curies.The remains of an ancient cave were unearthed. Analysis from charcoal in the cave gave 12.0 disintegration/min/g of carbon. The half life of C-14 is 5730 years. Analysis of the tree cut down when the cave was unearth showed 22.1 disintegrations/min/g of carbon. How old are the remains in the cave?
- The activity of a particular radioactive nuclide falls from 1 × 1011 Bq to 2 × 1010 Bq in 10 hours. Calculate the half-life of the nuclide.The binding energy for a nucleus containing Z protons and N neutrons is defined as c²[ZM + Nm, - M] where M is the mass of the neutral atom containing the nucleus, the quantity in the parentheses is the mass defect, and c? = 931.5 MeV/u.The binding energy of a nuclide can also be written as E, = Am x 931.5 MeV/u where Am is the mass defect. The Figure below show the mass for neutral atom and the nucleons of a helium atom. SHe Binding energy Mass = 4.0026 u Mass = 4.0330 u Calculate the mass defect Am of a helium atomArcheologists can determine the age of artifacts made ofwood or bone by measuring the amount of the radioactive iso-tope ¹⁴C present in the object. The amount of isotope decreasesin a first-order process. If 15.5% of the original amount of ¹⁴C is present in a wooden tool at the time of analysis, what is theage of the tool? The half-life of ¹⁴C is 5730 yr.