Suppose that you want to find out how much gasoline is in an underground storage tank. You pour in 1 gallon of gasoline that contains some radioactive material with a long half-life that gives off 5000 counts per minute. The next day, you remove a gallon from the underground tank and measure its radioactivity to be 10 counts per minute. How much gasoline is in the tank?

Q: A 75 kg patient swallows a 30 μCi beta emitter with a halflife of 5.0 days, and the radioactive…

A: The number of radioactive nuclei did the patient swallowed be calculated as,…

Q: An accident in a laboratory results in a room being contaminated by a radioisotope with a half-life…

A: Half life radioisotope =t= 8days . Let maximum permissible level be = N⁰ then , radiation emissions…

Q: Question 4. A synthetic radioisotope is freshly prepared in a lab that has an ac- ivity of 10.0 mCi.…

A: Given data as per question t    =   5.00 h A0  =   10.0mCi

Q: A freshly prepared sample of a certain radioactive isotope has an activity of 10.0 mCi. After 4.00…

A: Formula to calculate the decay constant is,

Q: A drug prepared for a patient is tagged with 4399Tc, which has a half-life of 6.05 h. The dose…

A:

Q: Suppose the decay constant of radioactive substance A is twice the decay constant of radioactive…

A: Given: Decay constant of A = 2× decay constant of B Half-life of B = 3 h.

Q: After how many half-lives will (a) 10.0%, (b) 5.00%, and (c) 1.00% of a radioactive sample remain?

A: Formula to calculate the number of half-lives is,

Q: A research reactor, after going critical for the first time, operates at a power level of 100 W for…

A:

Q: If we split a nucleus into two smaller nuclei, with a release of energy, has the average binding…

A:

Q: A sample of a particular radioisotope is placed near a Geiger counter, which is observed to register…

A:

Q: Two nuclei have mass numbers in the ratio 1: 2. What is the ratio of their nuclear densities?

A: The radius of the nucleus is given by  R = Ro A13 where, A is the mass number and R is the constant.…

Q: The number of radioactive atoms in a sample decay as the emission of radiation proceeds and this may…

A: Let original number of atoms = NoLet the number of atoms present after time "t" = N

Q: Tritium (half-life = 12.3 yr) is used to verify the age of expensive brandies. If an old brandy…

A: Given: The half-life of tritium = 12.3 years Amount of tritium present in the old brand =1256

Q: If a 1.90 cm thick piece of lead can absorb 90.0% of the γ rays from a radioactive source, how many…

A:

Q: What is (a) an alpha particle? (b) a beta particle? (c) a gamma ray? (d) an X-ray? (e) a daughter…

A: Given : To explain each term.

Q: The beta decay of 40K that is a natural part of the body makes all human beings slightly…

A: Given,             Beta decay of 40 K             70 kg adult have potassium = 170 g…

Q: A radiation worker stands 35 cm away from a radioactive source of 30 mCi (11.1 GBq) 99mTc (?? for…

A: The equation of exposure rate is given as,

Q: A radioactive sample has a decay constant of 0.2193/min. (a) What is its half-life? (b) If at the…

A: The equation of the radio activity is given by  N = No e-λt where, N is the number of atoms left, No…

Q: A patient receives a gamma scan of his liver. He ingests 3.7 MBq of 198Au, which decays with a 2.7…

A: Details Given: Half-life of 198Au = 2.7days Ingestion due to gamma rays = 3.7MBq  of 198Au Energy of…

Q: An accident in a laboratory results in a room being contaminated by a radioisotope with a half-life…

A: Given Data : The half-life of the radioisotope is given as N1/2 = 5Days. The activity level of the…

Q: Two nuclei have mass numbers in the ratio 8:125. What is the ratio of their nuclear radii?

A: The nuclear radius is calculated by using the formula R=R0A13 , where R0=1.2×10-15 m is the constant…

Q: he half-life of 222Rn is 3.82 days. (a) Convert the half-life to seconds.      Answer: _______…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: On your birthday, you measure the activity of a sample of 210Bi, which has a half-life of 5.01 days.…

A:

Q: What time interval elapses while 51.0% of the radioactivity of a sample of 7233As disappears, as…

A: As per given data, 51% of the radioactivity of a sample disappears.

Q: The Curiosity rover sent to explore the surface of Mars has an electric generator powered by heat…

A:

Q: If a rock containing U-238 initially reads 40.4 counts per minute on a Geiger counter, what will its…

A:

Q: 85Sr is a short-lived (half-life 65 days) isotope used in bone scans. A typical patient receives a…

A: The activity of 85Sr isotope at the time, when it is given to a patient, A0 = 0.10 mCi The half-life…

Q: A radioactive material has a decay constant of λ = 0.0586 yr-1. If it starts out with N0 = 9.03 ×…

A: Given: Decay constant : λ=0.0586 yr-1 N0=9.03×1018 t = 407 years To find N left after given t years.

Q: An accident in a laboratory results in a room being contaminated by a radioisotope with a half-life…

A: Given : half life of radioactive = 4 days Radiation measured = 8 times max level R = 8R0 .

Q: Tritium (half-life = 12.3 yr) is used to verify the age of expensive brandies. If an old brandy…

A: The amount remaining is equal to the original amount times 1/2 raised to the of half-lives that have…

Q: what type of radioactive source would you use to treat deep-seated brain tumors-alpha , beta, or…

A: To explain : The type of radioactive source used to treat deep-seated brain tumors

Q: A radiation worker stands 50 cm away from a radioactive source of 25 mCi 57Co. Calculate the…

A:

Q: 50V has one of the longest known radioactive half-lives. In a difficult experiment, a researcher…

A: The expression for the half life is,

Q: A radiation worker stands 10 cm away from a radioactive source of 55 mCi 57Co. Calculate the…

A: It is given that,

Q: How much mass of a decaying 1kg sample with a half-life of 3hours will be left after 1 day has…

A: Given - Initial mass of the sample Mo= 1 kg  Half life of the sample T1/2 =3 hours Time period for…

Q: Question 4. A synthetic radioisotope is freshly prepared in a lab that has an ac- tivity of 10.0…

A: Initial activity (Ao) = 10 mCi Final activity (A) = 8 mCi t = 5 hr

Q: Two nuclei have mass numbers in the ratio 1: 8. What is the ratio of their nuclear radii?

A: The relation between the mass number and the radius is  R =Ro A13 where, Ro is constant, R is the…

Q: A radioactive isotope has a half-life of 10 minutes. At the start of an experiment, the activity of…

A:

Q: 1)Given a half-life of a radioactive source is 435 years. Calculate the time taken for its activity…

A:

Q: A dose of 8.60 mCi of a radioactive isotope is injected into a patient. The isotope has a half-life…

A:

Q: An investigator collects a sample of a radioactive isotope with an activity of 370,000 Bq. 48 hours…

A: Given data The initial activity is Ro=370000 Bq. The final activity is Rt=120000 Bq. The time is…

Q: 4. A radiation worker stands 35 cm away from a radioactive source of 30 mCi (11.1 GBq) 9mTc (k, for…

A: The exposure rate is given by

Q: The activity of a radioactive sample is 4500 TBq with a half-life of 32 days. What is the mass of…

A:

Q: An accident in a laboratory results in a room being contaminated by a radioisotope with a half-life…

A:

Half Life

The concept of Half Life has numerous practical applications some of them includes figuring out the effective drug dosage to finding out when a radioactive becomes safe to use. If you look for a career in Nuclear Physics you will need this concept.