Physics Laboratory Manual
4th Edition
ISBN: 9781133950639
Author: David Loyd
Publisher: Cengage Learning
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Chapter 46, Problem 4PLA
To determine
The approximate value for
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There was a sample of 500 milligrams of a radioactive
substance to start a study. Since then, the sample has
decayed by 2.6% each year.
Let & be the number of years since the start of the
study. Let y be the mass of the sample in milligrams.
Write an exponential function showing the
relationship between y and t.
A sample of a radioactive substance has an initial mass of 63.3 mg. This substance follows a continuous exponential decay model and has a half-life of 5 days.
(a) Let t be the time (in days) since the start of the experiment, and let
y be the amount of the substance at time t.
Olno
Write a formula relating y to t.
Use exact expressions to fill in the missing parts of the formula.
Do not use approximations.
y =
(b) How much will be present in 13 days?
Do not round any intermediate computations, and round your
answer to the nearest tenth.
O mg
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Problem A
You have a 3 mol pure sample of an unknown material. After 3.7 h, you discover that 20% has decayed. Determine the half-life, decay
constant, mean life, & initial decay rate. Also determine what the decay rate is at 3.7 h.
T1/2 =
λ= 3.28e-04 x h¹
T=
R₂ =
R=
Problem B
decays/h
decays/h
The decay rate of a radioactive source decreases by 32.8% in 92 h. Determine the half-life, decay constant, & mean life of the source.
T1/2 =
λ =
T=
h-1
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- What is the dose in mSv for: (a) a 0.1 Gy xray? (b) 2.5 mGy of neutron exposure to the eye? (c) 1.5 mGy of exposure?arrow_forwardData from the appendices and the periodic table may be needed for these problems. Show that the activity of the 14C in 1.00 g of 12C found in living tissue is 0.250 Bq.arrow_forwardWhat time interval elapses while 90.0% of the radioactivity of a sample of 3372As disappears as measured by its activity? The half-life of 3372As is 26 h.arrow_forward
- What is the Decay Rate (k), if the Half Life is 10.5 days?arrow_forwardA rear molar from a mammoth skeleton is dated using a measurement of its 14C content. Carbon from the tooth is chemically extracted and formed into benzene. The benzene sample is placed in a shielded chamber. Decays from the sample come at an average rate of 11.5 counts per minute. A modern benzene sample of the exact same size gives 54.9 counts per minute. What is the age of the skeleton?arrow_forwardWhat is the decay probability per second per nucleus of a substance with a half-life of 5.0 hours?arrow_forward
- At the beginning of an experiment, a scientist has 252 grams of radioactive goo. After 195 minutes, her sample has decayed to 3.9375 grams. What is the half-life of the goo in minutes? Find a formula for G(t), the amount of goo remaining at time t. G(t) || How many grams of goo will remain after 32 minutes?arrow_forwardA radioactive sample is monitored with a radiation detector which registers 11360 counts per minute. Twelve hours later, the detector reads 1420 counts per minute. Calculate the decay constant ?(lamda) of the sample. lamda = ? s^-1arrow_forwardQuestion 1. There are four factors: A, B, C, D. We assume that each replicate was considered as a block. Fill in the table as below and analyze the experiment with conclusions. Using a = 0.05. Treatment combination Rep 1 Rep 2 7.786 | 7.377014 6.789 | 6.398278 5.834 5.554411 A C D -1 a - b 2.341 2.28354 6.133 5.702366 3.669 | 3.608621 d ab ас 6.154 5.87312 ad 5.819| 5.550515 bc 12.887 12.62869 2.753 2.261361 4.451 4.411148 0.873 | 0.793026 4.678 | 4.259536 3.728 3.695787 bd cd abc abd bcd аcd 10.478 10.33168 abcd 1.722 | 1.365419 Table 1arrow_forward
- Suppose a cube has a mass of 1.4 kg and the density of nuclear matter (which you can assume is 2.3 × 1017 kg/m3).Randomized Variablesm = 1.4 kg Find the length of a side of such a cube in μm.arrow_forwardProblem B The decay rate of a radioactive source decreases by 69.7% in 97 h. Determine the half-life, decay constant, & mean life of the source. T1/2= λ = T = h-1arrow_forwardA radioactive sample is monitored with a radiation detector which registers 11360 counts per minute. Twelve hours later, the detector reads 1420 counts per minute. Calculate the decay constant lamda of the sample. lamda = ? s^-1 Calculate the half‑life t1/2 of the sample. t1/2 = ? sarrow_forward
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