Nuclei of a radioactive element X are being produ

Question

Nuclei of a radioactive element X are being produced at a constant rate k and this element decays to a stable nucleus by with a decay constant h and half life T1/2. At time t = 0 there N nuclei of the element x. The number of nuclei of y at t=T1/2 is?

Arun · Accepted Answer

(a) Let at time ‘t’ number of radioactive are N.Net rate of formation of nuclei of A.dN /dt = α – λ N or dN / α – λN = dtor Solving this equation, we getN = 1 / λ [α – (α – λN0)e-λt] …..(1)(b) Substituting α = 2λN0 andt = t1/2 = 1n(2) / λ in equation (1),we get, N = 3/2 N0­(ii) Substituting α = 2λ N0 and t ⟶ ∞ in equation (1), we getN = α / λ = 2 N0

Modern Physics> Nuclei of a radioactive element X are bei...

Nuclei of a radioactive element X are being produced at a constant rate k and this element decays to a stable nucleus by with a decay constant h and half life T1/2. At time t = 0 there N nuclei of the element x. The number of nuclei of y at t=T1/2 is?

Vidhi dixit , 6 Years ago

Arun

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> Nuclei of a radioactive element X are bei...

Nuclei of a radioactive element X are being produced at a constant rate k and this element decays to a stable nucleus by with a decay constant h and half life T1/2. At time t = 0 there N nuclei of the element x. The number of nuclei of y at t=T1/2 is?

Vidhi dixit , 6 Years ago

Arun

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.