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a. What is the smallest value of Afor which there are two stable nuclei? What are they?

b. For which values ofAless than this are there no stable nuclei?

Short Answer

Expert verified

(a) The smallest value of Afor which there are two stable nuclei is =12,16.

(b) The value of Aless than this no stable nuclei is = 4.

Step by step solution

01

Part(a) Step1: Given information.

We have been given that,

Two stable nuclei.

We need to find the smallest value of Aand two stable nuclei.

02

Part(a) Step2: Simplify.

The smallest value of Afor which nuclei is stable is12and16.

The two stable nuclei are :

C12:A=12O16:A=16

Stable nuclei cluster very close to the curve called 'line of stability' .

From the curve ,we see that the familiar element C12,O16have equal number of protons and neutrons.

Also,

Z<16 when N≈Z These elements are stable .

03

Part(b) Step1: Given information.

We have been given that,

No stable nuclei.

We need to find the valueAsuch that less than this there is no stable nuclei .

04

Part(b) Step2: Simplify.

The value of Aless than this no stable nuclei is =4.

The nuclei is ,

He4:A=4

From the stability curve ,we clearly see that there is no stable nuclei less than A=4.

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Most popular questions from this chapter

The plutonium isotope 239 Pu has a half-life of 24,000 years and decays by the emission of a 5.2 MeV alpha particle. Plutonium is not especially dangerous if handled because the activity is low and the alpha radiation doesn’t penetrate the skin. However, there are serious health concerns if even the tiniest particles of plutonium are inhaled and lodge deep in the lungs. This could happen following any kind of fire or explosion that disperses plutonium as dust. Let’s determine the level of danger. a. Soot particles are roughly 1 mm in diameter, and it is known that these particles can go deep into the lungs. How many atoms are in a 1.0@mm@diameter particle of 239 Pu? The density of plutonium is 19,800 kg/m3 . b. What is the activity, in Bq, of a 1.0@mm@diameter particle? c. The activity of the particle is very small, but the penetrating power of alpha particles is also very small. The alpha particles are all stopped, and each deposits its energy in a 50@mm@diameter sphere around the particle. What is the dose, in mSv/year, to this small sphere of tissue in the lungs? Assume that the tissue density is that of water. d. Is this exposure likely to be significant? How does it compare to the natural background of radiation exposure?

What energy (in MeV) alpha particle has a de Broglie wavelength equal to the diameter of a238Unucleus?

Use the graph of binding energy to estimate the total energy released if three 4 He nuclei fuse together to form a 12 C nucleus

How many protons and how many neutrons are in(a)He3,(b)P32,(c)S32, and(d)U238?

What is the total energy (in MeV) released in the beta-minus

decay of 24Na?

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