Question: A certain radionuclide is being manufactured in a cyclotron at a constant rate R. It is also decaying with disintegration constant . Assume that the

A certain radionuclide is being manufactured in a cyclotron at a constant rate R. It is also decaying with disintegration constant λ. Assume that the production process has been going on for a time that is much longer than the half-life of the radionuclide.

(a) Show that the number of radioactive nuclei present after such time remains constant and is given by N = R/λ).

(b) Now show that this result holds no matter how many radioactive nuclei were present initially. The nuclide is said to be in secular equilibrium with its source; in this state its decay rate is just equal to its production rate.

Step by Step Solution

★★★★★

3.48 Rating (165 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

If N is the number of undecayed nuclei present at time t then ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

2-P-M-P-N-P (224).docx

120 KBs Word File

Students Have Also Explored These Related Modern Physics Questions!

Assume that the production of cement also produces a substantial amount of air pollution and that a technology is available that can lower the pollution but with somewhat higher production costs for...

Assume that the production function is given by: TPP =36K 1/3 L 1/2 R 1/4 where R is the quantity of a particular raw material used. (a) Are there constant, increasing or decreasing returns to scale?...

Nuclide A has a decay constant that is half that of nuclide B. Samples of both types start with the same number of undecayed nuclei, N. In terms of N, after two of As half-lives have elapsed, (a) How...

2.7. Explicit Solutions to Dierential Equations 109 power (kw) 20 15 10 5 0 08:00 10:00 12:00 14:00 16:00 time 18:00 2.7 Explicit Solutions to Dierential Equations In the very rare case in which an...

Please help me with the attached article review. I have attached the instructions as well as the scholarly article to use. The topic is Time Value of Money Analysis. Time value of money analysis...

hello, need help with a accounting quiz I have attached: 1) quiz 2)pdf files CH. 18- CH 21 Chapter 18 \"Managerial Accounting Concepts/Job Costing\" from Accounting Principles: A Business...

Controller, Judy Koch, in a recent speech said, "I rarely see a real variable cost or a truly fixed cost." What did she mean? Include in your response an explanation of the difference in behavior of...

ructure.com/counts/3444/igments/1474195 Mindset:Acknowledge the relationship between costs and financial performance Instructions The value of the Case Study is to identify and explain in detail the...

You helped me a couple of weeks ago. I was wondering if i could setup a time for tomorrow that you could be available to help me with some questions. I will pay $20 per question. They are short and I...

In the Intro to Purchasing and Supply Chain reading, Page 6, Figure 1-2, there is a comparison of Traditional Purchasing versus the Current Outlook. Provide three reasons why the Current Outlook is...

Smithston Corporation leased equipment to Dayplanner Co. on January 1, 2011. The terms of the lease called for annual lease payments to be made at the first of each year. Smithstons implicit interest...

Samuel Engels says that liquidity and solvency are the same thing. Is he correct? If not, how do they differ?

Differentiate the function. g ( x ) = ( 3 + 4 x ) / ( 5 8 x )

Moving averages often are used to identify movements in stock prices. Daily closing prices (in dollars per share) for SanDisk for August 16, 2002, through September 3, 2002, follow a. Use a five-day...

At the end of 2014, Mejorar Company implemented a low-cost strategy to improve its competitive position. Its objective was to become the low-cost producer in its industry. A Balanced Scorecard was...

You are conducting an annual audit of Granite Corporation, which has total assets of approximately $1 million and operates a wholesale merchandising business. The corporation is in good financial...

An assistant on the Carter Company audit has been working in the revenue cycle and has compiled a list of possible errors and fraud that may result in the misstatement of Carter Companys financial...

You are involved with the audit of Jelco Company for year 1 and have been asked to consider the confirmation reply results indicated below. For each confirmation reply as to the proper action to be...

A student has seven books that she would like to place in her backpack. However, there is room for only four books. Regardless of the arrangement, how many ways are there of placing four books into...

A metal ball of radius R = 1.5 cm has a charge q = 10C. Find the modulus of the vector of the resultant force acting on a charge located on one half of the ball.

When an uncharged conducting ball of radius R is placed in an external uniform electric field, a surface charge density = 0 cos is induced on the ball's surface (here a0 is a constant, 0 is a polar...

An electric field of strength E = 1.0 kV/cm produces polarization in water equivalent to the correct orientation of only one out of N molecules. Find N. The electric moment of a water molecule equals...

For the following cash flows, find the NPV and IRR for a project. Use a 12.5% discount rate for the NPV. Year Investment Projected Cash Inflow Projected Cash Outflow ($000) (5000) ($000) 2015 S...

1. Emily, an analyst at Fantastique Computers (FC), models the companys stock assuming that the return earned on all stocks depends on only three risk factors: inflation, industrial production, and...

An advertisement for the Value-For-Your-Money supermarket claims that customer service is rated 9.8 (out of 10). A disgruntled customer disagrees with this claim. The customer randomly selected a...