At a given instant there are 25% undecayed radio-a

Question

At a given instant there are 25% undecayed radio-active nuclei in a sample. After 10 seconds the number of undecayed nuclei reduces to 12.5% Calculate (i) mean-life of the nuclei, and (ii) the time in which the number of undecayed nuclei will further reduce to 6.25% of the reduced number

Navjyot Kalra · Accepted Answer

Hello Student, Please find the answer to your question (i) From the given information, it is clear that half life of the radioactive nuclei is 10 sec (since half the amount is consumed in 10 second 12.5% i half of 25% pls. note). Mean life&tau; = 1/ &lambda; = 1/ 0.693 / t1/2 = t1/2 / 0.693 = 10 / 0.693 = 14.43 sec (ii) N = N0e&lambda;t N/ N0 = 6.25 / 100 &Lambda; = 0.0693 s-1 6.25 / 100 = e-0.0693t e+0.693t = 100 / 6.25 = 16 0.0693t = In 16 = 2.773
Or t = 2.733 / 0.0693 = 40 sec. ThanksNavjot KalraaskIITians Faculty

Modern Physics> At a given instant there are 25% undecaye...

At a given instant there are 25% undecayed radio-active nuclei in a sample. After 10 seconds the number of undecayed nuclei reduces to 12.5% Calculate (i) mean-life of the nuclei, and (ii) the time in which the number of undecayed nuclei will further reduce to 6.25% of the reduced number

Amit Saxena , 11 Years ago

Navjyot Kalra

LIVE ONLINE CLASSES

A particle is projected in vertical plane such that after 5 seconds its velocity becomes horizontal. The maximum height attained by the projectile from point of projection is n3 m. The value of n is _______. (g = 10 m/s2)

modern physics

Two particles approach each other from very large distance as shown, . if the least separation between the particles is b, what is the speed of M in center of mass frame when particles are closest? (gravity negligible)

modern physics

Can the sum of two equal vectors be equal to either vector

modern physics

A nucleus X¹⁸⁴ at rest emitt alpha particle With kinetic energy 9.0MeV. The product Nucleus is Y. The values of Binding energy per nucleon of alpha particle & Y differ by 1.5MeV. The values of Binding energy per nucleon of X & Y differ by (n÷230) MeV, then n is

modern physics

SUBJECT: PROBLEM BASED ON LINE DETECTION.
Query: How to apply all the filters for line detection on the following piece of image (provided below)? Explain its Observations to comment on its results.

modern physics

Modern Physics> At a given instant there are 25% undecaye...

At a given instant there are 25% undecayed radio-active nuclei in a sample. After 10 seconds the number of undecayed nuclei reduces to 12.5% Calculate (i) mean-life of the nuclei, and (ii) the time in which the number of undecayed nuclei will further reduce to 6.25% of the reduced number

Amit Saxena , 11 Years ago

Navjyot Kalra

LIVE ONLINE CLASSES

Other Related Questions on modern physics

A particle is projected in vertical plane such that after 5 seconds its velocity becomes horizontal. The maximum height attained by the projectile from point of projection is n3 m. The value of n is _______. (g = 10 m/s2)

modern physics

Two particles approach each other from very large distance as shown, . if the least separation between the particles is b, what is the speed of M in center of mass frame when particles are closest? (gravity negligible)

modern physics

Can the sum of two equal vectors be equal to either vector

modern physics

A nucleus X184 at rest emitt alpha particle With kinetic energy 9.0MeV. The product Nucleus is Y. The values of Binding energy per nucleon of alpha particle & Y differ by 1.5MeV. The values of Binding energy per nucleon of X & Y differ by (n÷230) MeV, then n is

modern physics

SUBJECT: PROBLEM BASED ON LINE DETECTION.Query: How to apply all the filters for line detection on the following piece of image (provided below)? Explain its Observations to comment on its results.

modern physics

A nucleus X¹⁸⁴ at rest emitt alpha particle With kinetic energy 9.0MeV. The product Nucleus is Y. The values of Binding energy per nucleon of alpha particle & Y differ by 1.5MeV. The values of Binding energy per nucleon of X & Y differ by (n÷230) MeV, then n is

SUBJECT: PROBLEM BASED ON LINE DETECTION.
Query: How to apply all the filters for line detection on the following piece of image (provided below)? Explain its Observations to comment on its results.