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NEET
Exam
NEET
Subject
Physics
Chapter
Nuclear Physics

NEET · Physics · Nuclear Physics

Activities of three radioactive substances A, B and C are...

Activities of three radioactive substances A,BA, B and CC are represented by the curvesA,BA, B and C,C, in the figure. Then their half-lives T12T\dfrac{1}{2}\left(A\right): T\dfrac{1}{2}(B):T12(C)\left(B\right): T\dfrac{1}{2}\left(C\right) are in the ratio:

Activities of three radioactive substances A, B and C are represented by the curves A, B and C, in the figure. Then

Options

  1. A2:1:12: 1: 1
  2. B3:2:13: 2: 1
  3. C2:1:32: 1: 3
  4. D4:3:14: 3: 1

Correct answer

C. 2:1:32: 1: 3

Step-by-step solution

R = {R}_{0}{e}^{- \lambdat}</p><p></p><p>lnR = - \lambda \cdot nt + ln{R}_{0}</p><p>Slope=ln⁡2t1/2=λ</p><p>Slope = \dfrac{\ln 2}{{t}_{1/2}} = \lambda

T1(A):T1(B):T1(C)=2:1:3{T}_{1}\left(A\right): {T}_{1}\left(B\right): {T}_{1}\left(C\right) = 2: 1: 3

 

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