Home
Class 12
CHEMISTRY
Half life of a radioactive sample is 2x ...

Half life of a radioactive sample is `2x` years. What fraction of this sample will remain undecayed after `x` years?

Text Solution

Verified by Experts

`K = (2.303)/(t) log ((N_(0))/(N))`
`(0.693)/(t_(1//2)) = (2.303)/(t) log ((N_(0))/(N))`
`(0.693)/(2x) = (2.303)/(x) log ((N_(0))/(N))`
`(1)/(2) log 2 = log ((N_(0))/(N))`
`(N)/(N_(0)) = (1)/(sqrt(2))`
Fraction undecayed `= (1)/(sqrt(2))`
Promotional Banner

Topper's Solved these Questions

  • NUCLEAR CHEMISTRY

    CENGAGE CHEMISTRY|Exercise Solved Example|18 Videos

  • NUCLEAR CHEMISTRY

    CENGAGE CHEMISTRY|Exercise Ex6.1 Objective|15 Videos

  • NCERT BASED EXERCISE

    CENGAGE CHEMISTRY|Exercise Nuclear Chemistry (NCERT Exercise)|29 Videos

  • ORGANIC COMPOUNDS WITH FUNCTIONAL GROUP

    CENGAGE CHEMISTRY|Exercise Archives Analytical And Descriptive|24 Videos

Similar Questions

Explore conceptually related problems

Tritium has a half-life of 12.5 years. What fraction of the sample will remain undecayed after 50 years?

Half life of a radioactive element is 10 days. What percentage of the element will remain undecayed after 100 days?

Mean life of a radioactive sample is t_0 . What fraction of sample remains left after time t_0ln_2 ?

The half-life of tritium is 12.5 years. What mass of tritium of initial mass 64 mg will remain undecayed after 50 years?

The half-life of a certain radioactive isotope is 32 h .What fraction of a sample would ramain after 16h ?

In a sample of a radioactive substance, what fraction of the initial nuceli will remain undecayed after a time t=T//2 , where T=half -life of radioactive substance?

The half of a radioactive sample is 2n year. The fraction left undecyed after n year is: