Does the number of radioactive nuclei in a sample decrease to exactly half its original value in one half-life? Explain in terms of the statistical nature of radioactive decay.

Q: Determine the half-life (in s) of a radioactive sample that has a decay rate of 5.30 x 1011 Bq when…

A: Given data:     Decay rate, dNdt=5.30×1011Bq    Nuclei, N = 2.50 ×1015

Q: What is the relationship between decay constant and mean life of a radioactive nucleus?

A: The mean life of a radioactive nucleus is calculated by using the formula τ=1λ , where λ is the…

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: Determine the half-life (in s) of a radioactive sample that has a decay rate of 4.70 x 1011 Bq when…

A: Given : Decay rate = 4.70 × 1011 Bq             Nuclei = 1.70 × 1015

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: A radioactive material requires short time to decay completely naturally.Is it true or false?

A: The phenomenon of continuous emission of radiation like alpha, beta, gamma, X-rays, etc. from a…

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: What fraction of a radioactive sample is left after exactly 6 half lives? Give your answer to 3…

A: Number of half life (n) = 6

Q: If the mass of a radioactive sample is doubled, do (a) the activity of the sample and (b) the…

A: The expression for the activity is, As radioactivity and mass of sample is directly proportional to…

Q: A radioactive isotope has an activity of 9.27x104 Bq initially. After 3.30 hours the activity is…

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Q: A 15-g sample of radioactive iodine decays in such a way that the mass remaining after t days is…

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Q: Write an expression for the conservation of momentum in the y direction, taking upwards as positive.…

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Q: A sample of material contains 2.00 x 1015 atoms. The sample initially consists entirely of a…

A: Let N0 denote the number of atoms of the radioactive substance A at the initial time. Let t1/2…

Q: A student carries out a radioactive decay experiment. She measures the activity of a source as a…

A: Given: The activity of the substance is given as below. Rt=714e-0.41×t…

Q: radioactive

A: Given: The remaining sample = 0.004 of the original value

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: 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: 9) Derive the radioactive decay equation from the fact that the decay rate in nuclei is proportional…

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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 radioactive nucleus has half-life T1/2. A sample containing these nuclei has initial activity R0…

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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: After three half lives have gone by, what fraction of a sample of a radioactive isotope remains?

A: A half-life is a time period during which nuclei of radio-active sample becomes half of its initial…

Q: A sample of a radioactive substance has an initial mass of 63.3 mg. This substance follows a…

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Q: What fraction of radioactive nucleus sample survive after two half-lives?

A: Half-life is the time taken by the radioactive element to become the half of the original amount as…

Q: Determine the half-life (in s) of a radioactive sample that has a decay rate of 3.30 ✕ 1011 Bq when…

A: Given. N = 1.7*10¹⁵  dN/dt = 3.3*10¹¹ Formula used  N(t) = N⁰*0.5t/T Where  T is half life

Q: Strontium-90 is a radioactive by-product of nuclear reactors that behaves biologically like calcium.…

A: Given  Half life time T1/2 = 29 years Total time T = 59 years N0 = 1.2 × 1012  dis/s

Q: The rate at which radioactive nuclei decay is proportional to the number of such nuclei that are…

A: Given, half life period  t1/2= 1000 year

Q: What is the half-life of a radioactive isotope if the activity of a sample drops from 6,080 cpm to…

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Q: A radioactive sample has a decay constant of 0.219 3/minute. (a) What is its half-life? (b) If at…

A: The relation between the half life and the decay constant is  T = 0.693λ The equation of…

Q: once upon a time, a certain hermit wants to design a reactor using a radioactive material A* that…

A: It is given to us that a certain radioactive material A decays to B which itself might decay to some…

Q: The decay rate dt for N number of radioactive nuclei is dN dt - AN What is meant by higher decay…

A: The formula of the radio activity is  where, N is the number of atoms present and is the decay…

Q: Given that radioactive cobalt-60 has a radioactive constant equal to 3.8 x 10° s determine its…

A: Given information: Here, λ is the radioactive constant or decay constant.

Q: Determine the half-life (in s) of a radioactive sample that has a decay rate of 5.60 x 10¹¹ Bq when…

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Q: At t = 0 we begin to observe two identical radioactive nuclei that have a half-life of 5 min. At t =…

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Q: The graph represents the activity of a sample with respect to time of a radioactive nuclide.…

A: The activity (A) of a radioactive sample is defined as the number of disintegrations per second. The…

Q: Thorium  22890Th produces a daughter nucleus that is radioactive. The daughter, in turn, produces…

A: Thorium  22890Th produces a daughter nucleus that is radioactive. The daughter, in turn, produces…

Q: State the law of radioactive decay. Plot a graph showing the number (N) of undecayed nuclei as a…

A: The law of radioactive decay: "The number of nuclei undergoing radioactive disintegration per unit…

Q: A freshly prepared sample of certain radioactive isotope has an activity of 12.0 mCi. After 4.00h,…

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Q: The half-life of the radioactive isotope is 2.1 days. If the activity of the substance is initially…

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Q: What is the decay constant for a radioactive isotope with half life of 30 hours?

A: Half life of radioactive decay is defined as time taken to decay half of the initial quantity.…

Q: Initially, a particular sample has a total mass of 360 grams and contains 512 x 1010 radioactive…

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