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When an excited nucleus decays, it emits a Υ ray. The lifetimeof an excited state of anucleus is of the order of 10−12s. What is the uncertainty in theener...

Question

When an excited nucleus decays, it emits a Υ ray. The lifetimeof an excited state of anucleus is of the order of 10−12s. What is the uncertainty in theenergy of the Υ rayproduced.

When an excited nucleus decays, it emits a Υ ray. The lifetime of an excited state of a nucleus is of the order of 10−12s. What is the uncertainty in the energy of the Υ ray produced.



Answers

Nuclei have energy levels just as atoms do. An excited nucleus can make a transition to a lower energy level by emitting a gamma-ray photon. The lifetime of a typical nuclear excited state is about 1 ps. What is the uncertainty in the energy of the gamma-rays emitted by a typical nuclear excited state? [Hint: Use the energytime uncertainty principle, Eq. $(28-5) .]$

In this problem they reduced plank's constant can be written edged metaphysical too much by two pi. Which is equal to 6.625 Multiplication. 10 to the power minus 34 jewels second five to buy. Which is equal to 1.054, multiplication 10 to the power -34 years. Again, I can write. The value of Billy is equal to exodus by 30 Which is equal to 1.05, 4 more duplicates and 10 to the power -34. You'll second by 10 to the par minus seven seconds, Which is equal to 1.054 Multiplication and 10 to depart -27 June now going forward And just changing the unit so I can devalue daily is equal to 1.05-foot multiplication 10 to depart -27. You'll multiplication one ep by 1.6 multiplication and 10 to the power -19. You'll which is equal to 6.6, multiplication 10 to the power minus nine E. P. Changing the unit, I just multiplied by one. Ndp by 10 to the par minus nine E. P, which is equal to 6.6 any B as the answer.

And this problem were asked to calculate the smallest uncertainty in its decay energy of a a lifetime of a highly unstable nucleus that has a life of 10 to the negative 20 seconds. So for that we can say that our uncertainty and energy times air uncertainty in time is greater than or equal to planks constant divided by four pi. So we consult for our energy and this is 6.63 times 10 to the negative. 34 Jules time seconds for high our time interval is again tend to the negative 20 seconds. So our uncertainty in our energy is greater than or equal to 5.28 times 10 to the negative 16. Jules and we wanted to convict this too. Mega eloped tumbles so we can divide it by 1.6 times 10 to the negative 13. It says one mega electron volt, which gives us an energy of 3.3 times 10 to the negative. Two mega electron volts

In this problem, the lifetime of emission of alpha particle is given by dirty. Which is equal to 3.8 23 It is Which on simplification I can write evaluate 3.8-3. Multiplication, 24 hour multiplication, 36/00. Which in solving I get devaluate (330) 307 0.2 seconds. Now I am just writing the high ginsburg uncertainty principle. So it can be written edge Daily multiplication, guilty. The approximately called two Agendas. So the value of them daily. The approximately equal to exodus by dirty. Which is approximately equal to catch by to buy Dirty. Which is equal to 6.62 more duplication 10 to the power minus 34 2 seconds. Bye two. Primary duplication DDT. Jiro 307.2 seconds. On simplification I get the value it 3.191. Multiplication 10 to the Power -40. You'll changing the unit. I just multiply and divide by this value which is equal to 1.99 Multiplication 10 to the power minus 21 e. B. The Rendon nucleus finite lifetime of the excited state is very high when compared it to the emitted alpha particle energy uncertainty.


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