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NTA Abhyas 2020
Exam
NTA Abhyas
Year
2020
Subject
Physics
Chapter
Atomic Physics

NTA Abhyas 2020 · Physics · Atomic Physics

The probability that a particular nucleus of ~ ^ 38 Cl will undergo...

The probability that a particular nucleus of  38Cl{~}^{38}Cl will undergo beta decay in any time interval of& 4s4s is

[T1/2for 38Clis37.2min]\left[{T}_{1/2}for{~}^{38}Clis37 .2 min\right]

Options

  1. A3.1×10−43.1 \times {10}^{- 4}
  2. B6.2×10−46.2 \times {10}^{- 4}
  3. C12.4×10−412.4 \times {10}^{-4}
  4. D24.8×10−424.8 \times {10}^{-4}

Correct answer

C. 12.4×10−412.4 \times {10}^{-4}

Step-by-step solution

Probability for a particular nucleus to decay in any time interval dtdt is

dNN=\lambdadt\dfrac{dN}{N} = \lambdadt

=0.693T12×4= \dfrac{0.693}{{T}_{\dfrac{1}{2}}} \times 4

=12.4×10−4= 12.4 \times {10}^{- 4}

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