State the law of radioactive decay. Plot a graph showing the number (N) of undecayed nuclei as a function of time (t) for a given radioactive sample having half life T1/2 . Depict in the plot the number of undecayed nuclei at (i) t = 3 T 1/2 and  (ii) t = 5 1/2

Q: Astatine-211 undergoes gamma decay. Given the changes, if any, in the nucleus produced by this type…

A: In gamma decay energy is released in the form of photons but number of protons and neutrons remain…

Q: The decay behavior of a radioactive substance obeys first order kinetics: ln(N/No) = –kt, where N is…

A: first order kinetics,lnNN0=-ktwhere N is amount of radioactive nucle at timehalf life=20 min=1200…

Q: A radioactive isotope has a half-life of 72.0 min . A sample is prepared that has an initial…

A: (a) Initial radioactive nuclei

Q: The probability that a randomly chosen nucleus in a radioactive sample will have decayed in a given…

A: Sample of radio active nucleus decayed = 96.875 %

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

A: According to the data given Half life is 3hr And relationship given is . N(t) = N0 e(-t/£)

Q: 2. Calculate the activity due to "C in 1.00 kg of carbon found in a living organism. Express the…

A: The number of carbon nuclei in the sample can be found using the equation,

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: Using a nuclidic chart, write the symbols for (a) all stable isotopes with Z =60, (b) all…

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: 1. A radioactive substance has a half-life period of 60 days What is the disintegration constant?…

A:

Q: Mass spectrometric analysis of potassium and argon atoms in a Moon rock sample shows that the ratio…

A:

Q: Calculate the number of phosphorus P nuclei decayed during the first week, if the initial number of…

A:

Q: Assume that the decay rate for Carbon 14 is k=0.00012. If charcoal found in an ancient fire pit…

A:

Q: 2. Calculate the activity due to 14C in 1.00 kg of carbon found in a living organism. Express the…

A: The given values are,

Q: (b) The results of activity measurements on a radioactive sample are given in the Table. i) Find the…

A:

Q: The half-life of the radioactive nucleus 226 88Ra is 1.6 ᵡ 103 yr. If a sample initially contains…

A: The expression for the decay constant(λ) is given as, λ = ln 2t1/2, where t1/2 is the half-life…

Q: In a piece of rock from the Moon, the 87Rb content is assayed to be 1.82 x 1010 atoms per gram of…

A: Formula to calculate the age of the rock is,

Q: A (ə) ?H + H - x + n 4 2He o He 3 3 H. A (b) ?H+ 스x → 글He + bn O He Не 3 Не 2 He 3 1 O H

A: a) Answer is H24e The unknown mass number is 2+3=A+1A=5-1=4 The unknown atomic number is 1+1=Z+0Z=2…

Q: Suppose a radioactive nucleus has a half-life of 2 min. and suppose the counting rate at time t = 0…

A: Since you have posted a question with a multiple sub parts, we will solve first three sub - parts…

Q: Calculate the activity due to 14C in 1.00 kg of carbon found in a living organism. Express the…

A: The formula of activity is,

Q: a) The activity of a radioactive source is given by dN AN dt where N is the number of nuclei present…

A: A) The activity of a radioactive source is given by : -dNdt = λN initial number of nuclei = No at t…

Q: For the radioactive isotope strontium-90, k is 2.47 x 10-2 years -1. If the original amount of…

A:

Q: Both 1) Equation for a radioactive decay of a nucleus is  dNdTdNdT=−??. Given decay constant is λ =…

A: The question is regarding radioactive decay of the nucleus and half life.

Q: A radioactive sample contains 9.5 x 1017 atoms of a nuclide that decays at a rate of 5.4 x 1013…

A: Radioactivity is the process of decay of heavy nuclei due to an unstable nuclei or due to a…

Q: In a sample of radioactive material, what percentage of the initial number of active nuclei will…

A: Concept and Formula -                               let, initial no of active nuclei = N0…

Q: The activity (or decay rate) A of a certain unknown radioactive sample was measured over a period of…

A: Given:

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: A radioactive isotope has a half-life of 72.0 min. A sample is prepared that has an initial activity…

A: Given Data: The half-life of a radioactive isotope is, t1/2=72.0 min The initial activity is,…

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

A: Radioactivity

Q: A rock contains 0.257 mg of Pb-206 for everv milligram of U-238.The half-life for the decay of U-238…

A:

Q: RADIOACTIVITY. LAW OF RADIOACTIVE DECAY Activity units: 1 Ci = 3.7 × 1010 Bq 1. Nuclear decay law: N…

A: Given: Iodine-120 , I-120 has half life, T1/2 = 1.35 hours. = 4860 s Initial activity , A0 = 1 Ci

Q: (a) The daughter nucleus formed in radioactive decay is often radioactive. Let N10 represent the…

A: For the first-order reaction, the rate of radioactivity is directly proportional to the number of…

Q: The radioactive isotope Pt-188 decays into a stable nuclide after a series of 4 separate decays. The…

A: Eu63144  undergoes alpha, alpha, +beta,+beta decay...

Q: How many half-lives would it take for a sample of a radioactive isotope to decrease its activity to…

A:

Q: RADIOACTIVITY. LAW OF RADIOACTIVE DECAY Activity units: 1 Ci = 3.7 × 101º Bq 1. Nuclear decay law: N…

A:

Q: Consider a chain of radioactive decays 1-2-3, where nuclei of type 3 are stable. We assume that we…

A: Since you have posted a question with multiple subparts, we will solve first three only as per…

Q: Is the mass of an atomic nucleus greater or less than the sum of the masses of the nucleons…

A: The nucleons combine together to form an atomic nucleus by using binding energy, and this binding…

Q: 5.1 The half-life of radioactive nucleus of Ra is about 1.6 x 10³ years. 88 5.1.1 What is the decay…

A:

Q: What fraction f1 of a radioactive sample will be left after 6 half‑lives?   What fraction f2 of a…

A: To determine: 1) fraction f1 of a radioactive sample will be left after 6 half‑lives 2) fraction f2…

Q: A radioactive sample contains 3.2. atoms of a particular nuclide and emits 3600 a- particles per…

A: Given:Radioactive sample,α=3.2×1018 atomsRate=3600 perticle/secondFind the decay constant,k of the…

Q: The decay rate of a radioactive sample decreases from 161 kBq to 22.3 kBq in 16.4 s. What is the…

A: Initial size of the sample is Ro = 161 kBq Final size of the sample is R = 22.3 kBq Time taken is t…

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.