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Question

The half life of freshly prepared radioactive sample is $2$ hours. If the sample emits radiation of intensity which is $32$ times the permissible safe level, then the maximum time taken after which it would be possible to work safely with source is :

$8$ hour

$10$ hour

$16$ hour

$2$ hour

Medium

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Updated on : 2022-09-05

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Correct option is B)

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A small amount of solution containing $N a^{24}$ radionuclide with activity $A = 2.0.1 0^{3}$ disintegration per second was injected into the bloodstream of a man. The activity of 1 $c m^{3}$ of the blood sample taken t= 5.0 hours later turned out to be A'= 16 disintegration per minute per $c m^{3}$ . The half-life of the radionuclide is T= 15 hours. Find the volume of the man's blood.

Medium

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The nuclide $^{131} I$ is radioactive, with a half-life of $8.04$ days. At noon on January $1$ , the activity of a certain sample is $60089$ . The activity at noon on january $24$ will be

Medium

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$^{238} U$ decays to $^{206} P b$ with a half-life of $4.47 \times 1 0^{9}$ y. this happens in a number of steps.Can you justify a single half-life for this chain of processes ? A sample of rock is found to contain 2.00 mg of $^{238} U$ and 0.600 mg of $^{206} P b$ assuming that all the lead has come from uranium, find that life of the rock .

Hard

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The decay constant of $^{238} U$ is $4.9 \times 1 0^{- 18} s^{- 1}$ (a) What is the average -life of $^{238} U$ ? (b) What is half-life of $^{238} U$ ? (c) By what factor does the activity of a $^{238} U$ sample decreases in $9 \times 1 0^{9}$ years ?

Hard

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The count rate from a radioactive sample falls from $4.0 \times 1 0^{5}$ per second to $1.0 \times 1 0^{6}$ per second in 20 hours .what will be the count rat 100 hours after the beginning ?

Medium

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Practice more questions

The half life of freshly prepared radioactive sample is 2 hours. If the sample emits radiation of intensity which is 32 times the permissible safe level, then the maximum time taken after which it would be possible to work safely with source is :

8 hour

10 hour

16 hour

2 hour

The nuclide 131I is radioactive, with a half-life of 8.04 days. At noon on January 1, the activity of a certain sample is 60089. The activity at noon on january 24 will be

The decay constant of 238U is 4.9×10−18s−1 (a) What is the average -life of 238U? (b) What is half-life of 238U? (c) By what factor does the activity of a 238U sample decreases in 9×109 years ?

The count rate from a radioactive sample falls from 4.0×105 per second to 1.0×106 per second in 20 hours .what will be the count rat 100 hours after the beginning ?

Revise with Concepts

Law of Radioactive Decay

Plot Number of Neutrons vs Protons for Radioactive Decay

Half Life

The half life of freshly prepared radioactive sample is $2$ hours. If the sample emits radiation of intensity which is $32$ times the permissible safe level, then the maximum time taken after which it would be possible to work safely with source is :

$8$ hour

$10$ hour

$16$ hour

$2$ hour

The nuclide $^{131} I$ is radioactive, with a half-life of $8.04$ days. At noon on January $1$ , the activity of a certain sample is $60089$ . The activity at noon on january $24$ will be

The decay constant of $^{238} U$ is $4.9 \times 1 0^{- 18} s^{- 1}$ (a) What is the average -life of $^{238} U$ ? (b) What is half-life of $^{238} U$ ? (c) By what factor does the activity of a $^{238} U$ sample decreases in $9 \times 1 0^{9}$ years ?

The count rate from a radioactive sample falls from $4.0 \times 1 0^{5}$ per second to $1.0 \times 1 0^{6}$ per second in 20 hours .what will be the count rat 100 hours after the beginning ?