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Problems in General Physics

PART SIX. ATOMIC AND NUCLEAR PHYSICS

Q.225. A small amount of solution containing Na^{24} radionuc

Problems in General Physics

Class 11

IE Irodov

Chapter 1: PART ONE. PHYSICAL FUNDAMENTALS OF MECHANICS

277 questions

Chapter 2: PART TWO. THERMODYNAMICS AND MOLECULAR PHYSICS

9 questions

Chapter 3: PART THREE. ELECTRODYNAMICS

46 questions

Chapter 4: PART FOUR. OSCILLATIONS AND WAVES

155 questions

Chapter 5: PART FIVE. OPTICS

215 questions

Chapter 6: PART SIX. ATOMIC AND NUCLEAR PHYSICS

271 questions

Q.224. Calculate the specific activities of

N a^{24}

and

U^{235}

nuclides whose half-lifes are 15 hours and

7.1 \times 1 0^{8}

years respectively.

Q.225. A small amount of solution containing

N a^{24}

radionuclide with activity

A = 2.0 \times 1 0^{3}

disintegrations per second was injected in the bloodstream of a man. The activity of

1 c m^{3}

of blood sample taken t = 5.0 hours later turned out to be A' = 16 disintegrations per minute per

c m^{3}

. The half-life of the radionuclide is T = 15 hours. Find the volume of the man's blood.

Q.226. The specific activity of a preparation consisting of radioactive

C o^{58}

and nonradioactive

C o^{59}

is equal to

2.2 \times 1 0^{12}

dis/(s.g). The half-life of

C o^{58}

is 71.3 days. Find the ratio of the mass of radioactive cobalt in that preparation to the total mass of the preparation (in percent).

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Question

Hard

Solving time: 5 mins

Q.225. A small amount of solution containing $N a^{24}$ radionuclide with activity $A = 2.0 \times 1 0^{3}$ disintegrations per second was injected in the bloodstream of a man. The activity of $1 c m^{3}$ of blood sample taken t = 5.0 hours later turned out to be A' = 16 disintegrations per minute per $c m^{3}$ . The half-life of the radionuclide is T = 15 hours. Find the volume of the man's blood.

Name: Video solution 1: [Solved] Q.225. A small amount of solution containing Na24 radionuclide with activity A=2.0×103 disintegrations per second was injected in the bloodstream of a man. The activity of 1 cm3 of blood sample taken t = 5.0 hours later turned out to be A' = 16 disintegrations per minute per cm3. The half-life of the radionuclide is T = 15 hours. Find the volume of the man's blood. - Problems in General Physics
Uploaded: 2022-09-14T20:17:15.000Z
Duration: 15 min

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Updated on: Sep 14, 2022

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Problems in General Physics (IE Irodov)

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Q.225. A small amount of solution containing

N a^{24}

radionuclide with activity

A = 2.0 \times 1 0^{3}

disintegrations per second was injected in the bloodstream of a man. The activity of

1 c m^{3}

of blood sample taken t = 5.0 hours later turned out to be A' = 16 disintegrations per minute per

c m^{3}

. The half-life of the radionuclide is T = 15 hours. Find the volume of the man's blood.

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11 mins ago

Text solutionVerified

Let

V =

volume of blood in the body of the human being. Then the total activity of the blood is

A^{'} V

. Assuming all this activity is due to the injected

N a^{24}

and taking account of the decay of this radionuclide, we get

V A^{'} = A e^{- λ t}

Now

λ = \frac{l n 2}{15}

per hour,

t = 5 hour

Thus

V = \frac{A}{A ^{'}} e^{- l n 2/3} = \frac{2.0 \times 1 0 ^{3}}{( 16/60 )} e^{- lo 2/3} cc = 5.99 litre

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Question Text	Q.225. A small amount of solution containing $N a^{24}$ radionuclide with activity $A = 2.0 \times 1 0^{3}$ disintegrations per second was injected in the bloodstream of a man. The activity of $1 c m^{3}$ of blood sample taken t = 5.0 hours later turned out to be A' = 16 disintegrations per minute per $c m^{3}$ . The half-life of the radionuclide is T = 15 hours. Find the volume of the man's blood.
Updated On	Sep 14, 2022
Topic	Nuclei
Subject	Physics
Class	Class 12
Answer Type	Text solution:1 Video solution: 1
Upvotes	206
Avg. Video Duration	15 min

Text solutionVerified

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