   Chapter 31, Problem 60PE

Chapter
Section
Textbook Problem

Data from the appendices and the periodic table may be needed for these problems.(a) The 210Po source used in a physics laboratory is labeled as having an activity of 1.0 (Ci on the date it was prepared. A student measures the radioactivity of this source with a Geiger counter and observes 1500 counts per minute. She notices that the Source was prepared 120 days before her lab. What fraction of the decays is she observing with her apparatus? (b) Identify some of the reasons that only a fraction of the (s emitted are observed by the detector.

To determine

(a)

The fraction of decay observed by the student in her apparatus.

Explanation

Given info:

The activity of the source

Ao=1.0×106Ci

Ao=1.0×106×3.70×1010Bq

Ao=3.70×104Bq

A'=1500count/min

A'=150060Bq=25.0Bq

Time taken to source to be prepared is

t=120days

Formula used:

The formula of radioactivity is

A=Aoeλt

Calculation:

Substituting the values

A=(3

To determine

(b)

The reason that only a fraction of the α s emitted are observed by the detector.

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