JEE Main 2022 · 28 Jun · Shift 2 · Physics Q48

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PhysicsSingle correct+4 / -1Question 48 of 90

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 $\log_e$ (no. of undecayed nuclei) Vs. time represents the reciprocal of mean life time ( $\tau$ ).

(D) Product of decay constant ( $\lambda$ ) and half-life time ( $T_{1/2}$ ) is not constant.

Choose the most appropriate answer from the options given below :

(A) and (B) only

(B) and (D) only

(B) and (C) only

Answer and worked solution

Official answer: C

Check. (A) false: decay does not depend on physical or chemical conditions. (B) true. (C) true: $\ln N=\ln N_0-\frac t\tau$ , slope of magnitude $\frac1\tau$ . (D) false: $\lambda T_{1/2}=\ln2$ .

(C)

Topics:Radioactive decay

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JEE Main 2022 · 28 Jun · Shift 2, Physics question 48