Chapter 18: Problem 2530
Plutonium decays with half life time 24000 yrs. if Plutonium is stored after 72000 yrs, the fraction of it that remain (A) \((1 / 2)\) (B) \((1 / 9)\) (C) \((1 / 12)\) (D) \((1 / 8)\)
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It the radius of \({ }^{27}{ }_{13} \mathrm{~A} \ell\) nucleus is $3.6 \mathrm{fm}\( the radius of \){ }^{125}{ }_{52} \mathrm{Te}$ nucleus is nearly equal to (A) \(8 \mathrm{fm}\) (B) \(6 \mathrm{fm}\) (C) \(4 \mathrm{fm}\) (D) \(5 \mathrm{fm}\)
(i) statement-I :- Large angle scattering of alpha Particle led to discovery of atomic nucleus. statement-II :- Entire Positive charge of atom is concentrated in the central core. (A) statement -I and II are true. and statement II is correct explanation of statement-I (B) statement -I and II are true, but statement-II is not correct explanation of statement I (C) statement I is true, but statement II is false. (D) statement I is false but statement II is true (ii) statement-I \(1 \mathrm{amu}=931.48 \mathrm{MeV}\) statement-II It follows form \(E=m c^{2}\) (iii) statement -I:- half life time of tritium is \(12.5\) years statement-II:- The fraction of tritium that remains after 50 years is \(6.25 \%\) (iv) statement-I:- Nuclei of different atoms have same size statement-II:- \(\mathrm{R}=\operatorname{Ro}(\mathrm{A})^{1 / 3}\)
\({ }_{6} \mathrm{C}^{12}\) absorbs an energetic neutron and emits a \(\beta\) Particle. The resulting nucleus is (A) \({ }_{7} \mathrm{~N}^{13}\) (B) \({ }_{7} \mathrm{~N}^{14}\) (C) \({ }_{6} \mathrm{C}^{13}\) (D) \({ }_{6} \mathrm{C}^{12}\)
The half life time of a radioactive elements of \(\mathrm{x}\) is the same as the mean life of another radioactive element \(\mathrm{y}\). Initially they have same number of atoms, then (A) \(\mathrm{y}\) will decay faster then \(\mathrm{x}\) (B) \(\mathrm{x}\) will decay faster then \(\mathrm{y}\) (C) \(\mathrm{x}\) and \(\mathrm{y}\) will decay at the same rate at all time (D) \(\mathrm{x}\) and \(\mathrm{y}\) will decay at the same rate initially.
The nuclear of which of following Pairs of nuclei are isotones (A) \({ }_{34} \mathrm{Se}^{74},{ }_{31} \mathrm{Ca}^{71}\) (B) \(_{42} \mathrm{Mo}^{92}, 40 \mathrm{Zr}^{92}\) (C) \({ }_{38} \mathrm{Sr}^{81}, 38 \mathrm{Sr}^{86}\) (D) \({ }_{20} \mathrm{Cd}^{40}, 16 \mathrm{~S}^{32}\)
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