Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
NEET2008PhysicsNuclear PhysicsActual

Two radioactive materials X₁ and X₂ have decay constants 5 and respectively. If initially they have the same number of nuclei, then the ratio of the number of nuclei of X₁ to that of X₂ will be 1 e after a time

Options

  1. A1 2
  2. B1 4
  3. Ce

Correct answer

C. e

Step-by-step solution

If N is the number of radioactive nuclei present at some instant, then N=N₀ e^ - t The constant N₀ represents the number of radioactive nuclei at t=0 Now, aligned & N₁ N₂ = e^ - ₁ t e^ - ₂ t & N₁ N₂ = e^ -5 t e^ - t =e^ -4 t & N₁ N₂ = 1 e aligned but N₁ N₂ = 1 e (as provided) Therefore, 1 e = 1 e^ 4 t or 4 t=1 or t= 1 4

Practice Nuclear Physics on Quantrex Academy →

More from Nuclear Physics

Consider the following nuclear fission reaction ₀^1 n + ₉₂²³⁵U _Z^A Y + ₄₁⁹⁹Nb + neutrons . If 4 neutrons are released during the fission process, then A and Z are 2026Two spherical nuclei have mass numbers 216 and 64 with their radii R₁ and R₂ respectively. The ratio R₁ R₂ is 2026At time t = 0 , the activity of a radioactive substance is 1600 Bq. At t= 8 s, the activity remains 100 Bq. The activity at t = 2 s, the is 2026A radioactive nucleus ₉₂X²³⁵ decays to ₉₁Y²³¹ . Which of the following particles are emitted? 2026In a given reaction, ^ A _ Z X ^ A _ Z+1 Y ^ A-4 _ Z-1 K ^ A-4 _ Z-1 K the radioactive radiations are emitted in the sequence of 2026When a nucleus in an atom undergoes a radioactive decay, the atomic number and/or mass number of the atom 2026A common example of ^- decay is ₁₅ P ³² ₁₆ S ³² + x + y Then x and y , respectively, stand for 2026For a radioactive nucleus that undergoes ^+ decay, which of the following CANNOT occur? 2026 Full Nuclear Physics list All NEET PYQs