(a) Interpretation: The total counting rate for sample is 450cpm (sample plus background) and the counting period for this rate is 15.0min. The counting rate for background is 7 cpm for time period 2.0 min. The value of corrected counting rate is to be determined. Concept introduction: The following formula will be used for the corrected counting rate- R c = R x − R b …….. (1) Where, R c = correcting counting rate R x = counting rate for sample R b = counting rate for background

Question

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Answer 1

Question

Chapter 32, Problem 32.7QAP

Interpretation Introduction

(a)

Interpretation:

The total counting rate for sample is 450cpm (sample plus background) and the counting period for this rate is 15.0min. The counting rate for background is 7 cpm for time period 2.0 min. The value of corrected counting rate is to be determined.

Concept introduction:

The following formula will be used for the corrected counting rate-

Rc=Rx−Rb …….. (1)

Where,

Rc = correcting counting rate

Rx = counting rate for sample

Rb = counting rate for background

Interpretation Introduction

(b)

Interpretation:

The total counting rate for sample is 450cpm (sample plus background) and the counting period for this rate is 15.0min. The counting rate for the background is 7 cpm for time period 2.0 min. The value of standard deviation σR for the corrected counting rate is to be determined.

Concept introduction:

The formula used for the calculation of standard deviation for the corrected counting rate is-

σRc=Rxtx+Rbtb

Where,

Rx = counting rate for sample

Rb = counting rate for background

tx = time required for counting rate for sample

tb = time required for counting rate for background

σRc = standard deviation for the corrected counting rate

Interpretation Introduction

(c)

Interpretation:

The total counting rate for sample is 450cpm (sample plus background) and the counting period for this rate is 15.0min. The counting rate for background is 7 cpm for time period 2.0 min. The value of 95% confidence interval for the corrected counting rate is to be determined.

Concept introduction:

The formula that will be used-

R=R±zσR

The formula used for the calculation of standard deviation for the corrected counting rate is-

σRc=Rxtx+Rbtb

Where,

Rx = counting rate for sample

Rb = counting rate for background

tx = time required for counting rate for sample

tb = time required for counting rate for background

σRc = standard deviation for the corrected counting rate

Rc=Rx−Rb

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Answer 2

Question

Chapter 32, Problem 32.7QAP

Interpretation Introduction

(a)

Interpretation:

The total counting rate for sample is 450cpm (sample plus background) and the counting period for this rate is 15.0min. The counting rate for background is 7 cpm for time period 2.0 min. The value of corrected counting rate is to be determined.

Concept introduction:

The following formula will be used for the corrected counting rate-

Rc=Rx−Rb …….. (1)

Where,

Rc = correcting counting rate

Rx = counting rate for sample

Rb = counting rate for background

Interpretation Introduction

(b)

Interpretation:

The total counting rate for sample is 450cpm (sample plus background) and the counting period for this rate is 15.0min. The counting rate for the background is 7 cpm for time period 2.0 min. The value of standard deviation σR for the corrected counting rate is to be determined.

Concept introduction:

The formula used for the calculation of standard deviation for the corrected counting rate is-

σRc=Rxtx+Rbtb

Where,

Rx = counting rate for sample

Rb = counting rate for background

tx = time required for counting rate for sample

tb = time required for counting rate for background

σRc = standard deviation for the corrected counting rate

Interpretation Introduction

(c)

Interpretation:

The total counting rate for sample is 450cpm (sample plus background) and the counting period for this rate is 15.0min. The counting rate for background is 7 cpm for time period 2.0 min. The value of 95% confidence interval for the corrected counting rate is to be determined.

Concept introduction:

The formula that will be used-

R=R±zσR

The formula used for the calculation of standard deviation for the corrected counting rate is-

σRc=Rxtx+Rbtb

Where,

Rx = counting rate for sample

Rb = counting rate for background

tx = time required for counting rate for sample

tb = time required for counting rate for background

σRc = standard deviation for the corrected counting rate

Rc=Rx−Rb

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Answer 3

Question

Chapter 32, Problem 32.7QAP

Interpretation Introduction

(a)

Interpretation:

The total counting rate for sample is 450cpm (sample plus background) and the counting period for this rate is 15.0min. The counting rate for background is 7 cpm for time period 2.0 min. The value of corrected counting rate is to be determined.

Concept introduction:

The following formula will be used for the corrected counting rate-

Rc=Rx−Rb …….. (1)

Where,

Rc = correcting counting rate

Rx = counting rate for sample

Rb = counting rate for background

Interpretation Introduction

(b)

Interpretation:

The total counting rate for sample is 450cpm (sample plus background) and the counting period for this rate is 15.0min. The counting rate for the background is 7 cpm for time period 2.0 min. The value of standard deviation σR for the corrected counting rate is to be determined.

Concept introduction:

The formula used for the calculation of standard deviation for the corrected counting rate is-

σRc=Rxtx+Rbtb

Where,

Rx = counting rate for sample

Rb = counting rate for background

tx = time required for counting rate for sample

tb = time required for counting rate for background

σRc = standard deviation for the corrected counting rate

Interpretation Introduction

(c)

Interpretation:

The total counting rate for sample is 450cpm (sample plus background) and the counting period for this rate is 15.0min. The counting rate for background is 7 cpm for time period 2.0 min. The value of 95% confidence interval for the corrected counting rate is to be determined.

Concept introduction:

The formula that will be used-

R=R±zσR

The formula used for the calculation of standard deviation for the corrected counting rate is-

σRc=Rxtx+Rbtb

Where,

Rx = counting rate for sample

Rb = counting rate for background

tx = time required for counting rate for sample

tb = time required for counting rate for background

σRc = standard deviation for the corrected counting rate

Rc=Rx−Rb

Expert Solution & Answer

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Answer 4

Question

Chapter 32, Problem 32.7QAP

Interpretation Introduction

(a)

Interpretation:

The total counting rate for sample is 450cpm (sample plus background) and the counting period for this rate is 15.0min. The counting rate for background is 7 cpm for time period 2.0 min. The value of corrected counting rate is to be determined.

Concept introduction:

The following formula will be used for the corrected counting rate-

Rc=Rx−Rb …….. (1)

Where,

Rc = correcting counting rate

Rx = counting rate for sample

Rb = counting rate for background

Interpretation Introduction

(b)

Interpretation:

The total counting rate for sample is 450cpm (sample plus background) and the counting period for this rate is 15.0min. The counting rate for the background is 7 cpm for time period 2.0 min. The value of standard deviation σR for the corrected counting rate is to be determined.

Concept introduction:

The formula used for the calculation of standard deviation for the corrected counting rate is-

σRc=Rxtx+Rbtb

Where,

Rx = counting rate for sample

Rb = counting rate for background

tx = time required for counting rate for sample

tb = time required for counting rate for background

σRc = standard deviation for the corrected counting rate

Interpretation Introduction

(c)

Interpretation:

The total counting rate for sample is 450cpm (sample plus background) and the counting period for this rate is 15.0min. The counting rate for background is 7 cpm for time period 2.0 min. The value of 95% confidence interval for the corrected counting rate is to be determined.

Concept introduction:

The formula that will be used-

R=R±zσR

The formula used for the calculation of standard deviation for the corrected counting rate is-

σRc=Rxtx+Rbtb

Where,

Rx = counting rate for sample

Rb = counting rate for background

tx = time required for counting rate for sample

tb = time required for counting rate for background

σRc = standard deviation for the corrected counting rate

Rc=Rx−Rb

Expert Solution & Answer

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Answer 5

Chapter 32, Problem 32.7QAP

Interpretation Introduction

(a)

Interpretation:

The total counting rate for sample is 450cpm (sample plus background) and the counting period for this rate is 15.0min. The counting rate for background is 7 cpm for time period 2.0 min. The value of corrected counting rate is to be determined.

Concept introduction:

The following formula will be used for the corrected counting rate-

Rc=Rx−Rb …….. (1)

Where,

Rc = correcting counting rate

Rx = counting rate for sample

Rb = counting rate for background

Interpretation Introduction

(b)

Interpretation:

The total counting rate for sample is 450cpm (sample plus background) and the counting period for this rate is 15.0min. The counting rate for the background is 7 cpm for time period 2.0 min. The value of standard deviation σR for the corrected counting rate is to be determined.

Concept introduction:

The formula used for the calculation of standard deviation for the corrected counting rate is-

σRc=Rxtx+Rbtb

Where,

Rx = counting rate for sample

Rb = counting rate for background

tx = time required for counting rate for sample

tb = time required for counting rate for background

σRc = standard deviation for the corrected counting rate

Interpretation Introduction

(c)

Interpretation:

The total counting rate for sample is 450cpm (sample plus background) and the counting period for this rate is 15.0min. The counting rate for background is 7 cpm for time period 2.0 min. The value of 95% confidence interval for the corrected counting rate is to be determined.

Concept introduction:

The formula that will be used-

R=R±zσR

The formula used for the calculation of standard deviation for the corrected counting rate is-

σRc=Rxtx+Rbtb

Where,

Rx = counting rate for sample

Rb = counting rate for background

tx = time required for counting rate for sample

tb = time required for counting rate for background

σRc = standard deviation for the corrected counting rate

Rc=Rx−Rb

Answer 6

Chapter 32, Problem 32.7QAP

Interpretation Introduction

(a)

Interpretation:

The total counting rate for sample is 450cpm (sample plus background) and the counting period for this rate is 15.0min. The counting rate for background is 7 cpm for time period 2.0 min. The value of corrected counting rate is to be determined.

Concept introduction:

The following formula will be used for the corrected counting rate-

Rc=Rx−Rb …….. (1)

Where,

Rc = correcting counting rate

Rx = counting rate for sample

Rb = counting rate for background

Answer 7

Chapter 32, Problem 32.7QAP

Interpretation Introduction

(a)

Interpretation:

The total counting rate for sample is 450cpm (sample plus background) and the counting period for this rate is 15.0min. The counting rate for background is 7 cpm for time period 2.0 min. The value of corrected counting rate is to be determined.

Concept introduction:

The following formula will be used for the corrected counting rate-

Rc=Rx−Rb …….. (1)

Where,

Rc = correcting counting rate

Rx = counting rate for sample

Rb = counting rate for background

Answer 8

Interpretation Introduction

(b)

Interpretation:

The total counting rate for sample is 450cpm (sample plus background) and the counting period for this rate is 15.0min. The counting rate for the background is 7 cpm for time period 2.0 min. The value of standard deviation σR for the corrected counting rate is to be determined.

Concept introduction:

The formula used for the calculation of standard deviation for the corrected counting rate is-

σRc=Rxtx+Rbtb

Where,

Rx = counting rate for sample

Rb = counting rate for background

tx = time required for counting rate for sample

tb = time required for counting rate for background

σRc = standard deviation for the corrected counting rate

Answer 9

Interpretation Introduction

(b)

Interpretation:

The total counting rate for sample is 450cpm (sample plus background) and the counting period for this rate is 15.0min. The counting rate for the background is 7 cpm for time period 2.0 min. The value of standard deviation σR for the corrected counting rate is to be determined.

Concept introduction:

The formula used for the calculation of standard deviation for the corrected counting rate is-

σRc=Rxtx+Rbtb

Where,

Rx = counting rate for sample

Rb = counting rate for background

tx = time required for counting rate for sample

tb = time required for counting rate for background

σRc = standard deviation for the corrected counting rate

Answer 10

Interpretation Introduction

(c)

Interpretation:

The total counting rate for sample is 450cpm (sample plus background) and the counting period for this rate is 15.0min. The counting rate for background is 7 cpm for time period 2.0 min. The value of 95% confidence interval for the corrected counting rate is to be determined.

Concept introduction:

The formula that will be used-

R=R±zσR

The formula used for the calculation of standard deviation for the corrected counting rate is-

σRc=Rxtx+Rbtb

Where,

Rx = counting rate for sample

Rb = counting rate for background

tx = time required for counting rate for sample

tb = time required for counting rate for background

σRc = standard deviation for the corrected counting rate

Rc=Rx−Rb

Answer 11

Interpretation Introduction

(c)

Interpretation:

The total counting rate for sample is 450cpm (sample plus background) and the counting period for this rate is 15.0min. The counting rate for background is 7 cpm for time period 2.0 min. The value of 95% confidence interval for the corrected counting rate is to be determined.

Concept introduction:

The formula that will be used-

R=R±zσR

The formula used for the calculation of standard deviation for the corrected counting rate is-

σRc=Rxtx+Rbtb

Where,

Rx = counting rate for sample

Rb = counting rate for background

tx = time required for counting rate for sample

tb = time required for counting rate for background

σRc = standard deviation for the corrected counting rate

Rc=Rx−Rb

Answer 12

Expert Solution & Answer

Answer 13

Expert Solution & Answer

Answer 14

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Answer 15

Ch. 32 - Identify X in each of the following nuclear...Ch. 32 - Prob. 32.2QAP Ch. 32 - Prob. 32.3QAP Ch. 32 - Prob. 32.4QAP Ch. 32 - Prob. 32.5QAP Ch. 32 - Prob. 32.6QAP Ch. 32 - Prob. 32.7QAP Ch. 32 - Prob. 32.8QAP Ch. 32 - Prob. 32.9QAP Ch. 32 - Prob. 32.10QAP

Solution Summary: The author explains the calculation of standard deviation for the corrected counting rate.

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Chapter 32 Solutions