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JEE PHYSICS MCQ: NUCLEI

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Analyzing +4 | -1
Following statements related to radioactivity are given below:
(A) Radioactivity is a random and spontaneous process and is dependent on physical and chemical conditions.
(B) The number of un-decayed nuclei in the radioactive sample decays exponentially with time.
(C) Slope of the graph of loge (no. of undecayed nuclei) Vs. time represents the reciprocal of mean life time (τ).\left( \tau \right).
(D) Product of decay constant (λ)\left( \lambda \right) and half-life time (T1/2)\left( {{T_{1/2}}} \right) is not constant.
Choose the most appropriate answer from the options given below:
View answer and explanation
Correct option: C
(B) and (C) only
Option B ((B) and (C) only) is correct because radioactive decay is independent of physical/chemical conditions, the number of undecayed nuclei decays exponentially, and the slope of the ln(N) vs. time graph is the negative of the decay constant.

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