The nucleus ${}_{6}C_{12}$ absorbs an energetic neutron and emits a beta particle $\left({\beta }^{-}\right)$. The resulting nucleus is

(1) ${}_{7}N_{14}$          (2) ${}_{7}N_{13}$         (3) ${}_{5}B_{13}$             (4) ${}_{6}C_{13}$

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Mass-energy equivalent
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If in a nuclear fusion  process, the masses of the fusion nuclei be  and the mass of the resultant nucleus be ${m}_{3}$, then [2004]

(1) ${m}_{3}={m}_{1}+{m}_{2}$                     (2) ${m}_{3}=\left|{m}_{1}-{m}_{2}\right|$

(3) ${m}_{3}<\left({m}_{1}+{m}_{2}\right)$                  (4) ${m}_{3}>\left({m}_{1}+{m}_{2}\right)$

Concept Questions :-

Mass-energy equivalent
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The nuclei of which one of the following pairs of nuclei are isotones? [2005]

(1)                   (2)

(3)                     (4)

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Mass-energy equivalent
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The counting rate observed from a radio active source at t = 0 second was 1600 counts per second and at t = 8 seconds it was 100 counts per second. The counting rate observed, as counts per second, at t = 6 seconds will be

(1) 400         (2) 300         (3) 200        (4) 150

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If ${N}_{0}$ is the original mass of the substance of half life period ${T}_{1/2}$= 5 years, then the amount of substance left after 15 years is [AIEEE 2012]

(1) ${N}_{0}$/8           (2) ${N}_{0}$/16           (3) ${N}_{0}$/2            (4) ${N}_{0}$/4

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The numbers of nuclei of a radioactive substance at time t = 0 are 1000 and 900 at time t = 2 s. Then number of nuclei at time t = 4 s will be

(1) 800            (2) 810             (3) 790             (4) 700

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A nucleus ${}_{Z}{}^{A}X$ has mass represented by m(A, Z). If ${m}_{p}$ and ${m}_{n}$ denote the mass of proton and neutron respectively and BE the binding energy (in MeV), then [2007]

(1) BE = [m(A, Z) - Z${m}_{p}$- (A - Z)${m}_{n}$${c}^{2}$

(2) BE = [Z${m}_{p}$+ (A - Z)${m}_{n}$- m(A,Z)] ${c}^{2}$

(3) BE = [Z${m}_{p}$+ A${m}_{n}$- m(A, Z)] ${c}^{2}$

(4) BE = m(A, Z) - Z${m}_{p}$- (A, Z)${m}_{n}$

Concept Questions :-

Nuclear binding energy
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The equation  is          (UP CPMT 2002)

(1) $\beta$-emission                (2) $\alpha$-emission

(3) ${e}^{-}$ capture                (4) fission

Concept Questions :-

Types of decay
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Half-lives of two radioactive substances A and B respectively 20 min and 40 min.  Initially, the samples of A and B have equal number of nuclei. After 80 min the ratio of remaining number of A and B nuclei is [1998]

(1) 1 : 16                         (2) 4 : 1

(3) 1 : 4                           (4) 1 : 1

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Radioactive ${}_{27}{}^{60}Co$ is transformed into stable ${}_{28}{}^{60}Ni$ by emitting two $\gamma$-rays of energies [Kerala PET 2010]

(1) 1.33 MeV and 1.17 MeV in succession

(2) 1.17 MeV and 1.33 MeV in succession

(3) 1.37 MeV and 1.13 MeV in succession

(4) 1.17 MeV and 1.13 MeV in succession

Concept Questions :-