Two radioactive materials A and B have decay constants 10h and 2, respectively. If initially, they have the same number of nuclei, then the ratio of the number of nuclei of A to that of B will be 1/e after a time .

Q: Your company develops radioactive isotopes for medical applications. In your work there, you measure…

A: We know,  the activity equation is given by A=A0e-λt From the table it is seen that A0=20,000 At…

Q: A nucleus of ²³⁶U undergoes fission and splits into two fragments ¹⁴⁰Xe and ⁹⁶Sr. Assume that all…

A: We know: The sphere must be touching when the potential energy is the maximum. The number of protons…

Q: When Po decays, the product is Pb. The half-life of this decay process is 1.78 ms. If the initial…

A: Determine the decay constant as follows. λ=0.693t12=0.6931.78 ms=0.6931.78×10-3 s=389.3258 s-1

Q: Many transuranium elements, such as neptunium-240, have very short half-lives. (For 24 Np, the…

A: The Neptunium atom consists of 93 protons and 147 neutrons. The mass of Np93240 nucleus is given as,…

Q: A radiation oncologist treats cancer with two species of radioactive nuclei, X and Y. The initial…

A:

Q: Natural uranium ore contains about 0.720% of the fissile uranium- 235 isotope. Suppose a sample of…

A: Given data: Natural uranium ore contains about 0.720% of the fissile uranium- 235 isotope and the…

Q: A radioactive sample has a decay constant of 2.97 x 10 s¹¹. Estimate the half-life.

A: Unstable nuclei decay into a stable state. This process is called radioactivity. The rate at which…

Q: The maximum kinetic energy of the beta particle emitted during the decay of {60}^_{27}Co.

A: When beta particle is emitted during the decay of C2760o it is convert in to N2860i…

Q: The nuclide 10,4 Be undergoes spontaneous radioactive decay to 10,5 B with emission of a beta…

A:

Q: A heavy nucleus X of mass number 240 and binding energy per nucleon 7.6 MeV is split into two…

A: Given: The mass number of nucleus X is MX=240. The binding energy per nucleon of nucleus X is…

Q: A tree falls in a forest. How many years must pass before the C activity in 1.00 g of the tree's…

A: mass = 1 g number of atoms = number of moles * avogadro number  = (1/14)(6.022 * 1023) = 4.3 * 1022…

Q: Derive an approximate relationship between the energy of α decay and half-life using the following…

A: Given,

Q: A sample of radioactive material is studied in a lab and is found to have a decay constant of 100 ×…

A: When an atomic nucleus becomes unstable they become stable by radiating energy this process is known…

Q: A sealed box containing alloys of metal A and Metal B consisting of the same parts accordingly.…

A: We need to find the age of the alloy based on the given information.

Q: Two nuclei have mass numbers in the ratio 1: 5. What is the ratio of their nuclear radii?

A:

Q: 12. The frequency of a damped harmonic oscillator is three-quarters of the frequency of the same…

A:

Q: Only two stable nuclei have Z>N. (a) What are these nuclei? (b) Why don't more nuclei have Z> N?

A: The nucleus of an atom is made of protons and neutrons. They are held together by the strong nuclear…

Q: Marie and Pierre Curie managed to extract 1 mg of radium from ten tonnes of uranium ore in 1898. The…

A: The decay constant for radium-226 can be calculated using the following formula: λ = ln(2)/ t½ Where…

Q: The two samples A and B consist of an equal number of radioactive nuclei to begin with. 5 days later…

A: From the question it is given that: Let N0 be the amount of radioactive nuclei is present in initial…

Q: After long effort, in 1902 Marie and Pierre Curie succeeded in separating from uranium ore the first…

A: a) The mass of Ra is given by, Thus,

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

A:

Q: Problem 8:  In a living organism, a fixed fraction 1.30 × 10-12 of 12C is the radioactive isotope…

A: Given data: fixed fraction =1.30 × 10-12 of 12C Need to determine the numeric value is expected.

Q: An ancient rock is obtained from an excavation inside a mine. It is found that the ratio of the…

A: The formula of the radioactivity is  N =  No e-λ t where, N is the left over atoms, No is the…

Q: Assume ordinary soil contains natural uranium in amounts of 1 part per million by mass. (a) How much…

A: Given Data:   The specific gravity of soil is, G=4.00 The density of the soil is, ρ=4×103 kg/m3 The…

Q: Suppose a cube has a mass of 1.4 kg and the density of nuclear matter (which you can assume is 2.3 ×…

A: The given data are: m=1.4 kgρ=2.3×1017 kg/m3 Here, m and ρ represent the mass and density.

Q: Natural uranium ore contains about 0.720% of the fissile uranium - 235 isotope. Suppose a sample of…

A: Formula to calculate the number of uranium 235 nuclei is,

Q: One of the problems of in-air testing of nuclear weapons is the danger of radioactive fallout. One…

A:

Q: You are training for an upcoming Physics Olympics competition. Your coach gives you the following…

A: In the question it is given that the mass of the indium( 115In) is m=94.1 gInitial activity of the…

Q: If it is known that 87% of an initial radioactive sample remains after 3 days, what is the decay…

A: Given: The amount of radioactive decay is 87% of the initial amount. The time is 3 days.

Q: U-235 has a decay constant of 3.138 × 10¹7 s¹. Calculate the ratio of U-235 remaining after 500…

A: When there are too many or too less neutrons inside a nucleus it becomes unstable. They become…

Q: Question 1. Tritium has a a tritium sample will remain (a) after 5.00 yr?

A: GivenHalf Life for Tritium, t1/2=12.33 years