   Chapter 10, Problem 42P ### University Physics Volume 3

17th Edition
William Moebs + 1 other
ISBN: 9781938168185

#### Solutions ### University Physics Volume 3

17th Edition
William Moebs + 1 other
ISBN: 9781938168185
Textbook Problem

# , The 210Po source used in a physics laboratory is labeled as having an activity of 1.0 μ C i 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?

To determine

The fraction of decay the student observes with the apparatus.

Explanation

Given:

The observed activity (A) is 1500min1.

The initial activity (A0) is 1.0μCi.

The time duration (T) is 120days.

Formula used:

The activity equation is given as follows:

A=A0e( 0.693T T 1/2 )

The fraction of decay observed by the student is given by,

Fraction=AA

Here, Fraction is the fraction of decay observed by the student.

Calculation:

The half life cycle of 210Po is,

T1/2=138.4days

The activity of the substance is calculated as follows:

A=A0e( 0.693T T 1/2 )=(1.00μCi× 10 6 Ci 1μCi× 1Bq 2.70× 10 11 Ci)e( 0

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