Two nuclei have their mass numbers in the ratio of 1:3. The ratio of their nuclear densities would be 

(a) 1:3

(b) 3:1

(c) 31/3:1

(d) 1:1

Concept Questions :-

Mass-energy equivalent
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Two radioactive material X1 and X2 have decay constants 5λ and λ respectively. If initially they have the same number of nuclei of X1to that of X2 will be 1eafter a time 

(a)λ                                     (b)12λ

(c)14λ                                 (d)eλ

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Radioactivity
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The number of beta particles emitted by a radioactive substance is twice the number of alpha particles emitted by it. The resulting daughter is an

(a) isobar of parent                                   (b) isomer of parent

(c) isotone of parent                                  (d) isotope of parent 

Concept Questions :-

Types of decay
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The binding energy per nucleon in deuterium and helium nuclei are 1.1 MeV and 7.0 MeV, respectively. When two deuterium nuclei fuse to form a helium nucleus, the energy released in the fusion is 

(a) 23.6 MeV                                         (b) 2.2 MeV

(c) 28.0 MeV                                          (d) 30.2 MeV

Concept Questions :-

Nuclear binding energy
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The decay constant of a radio isotope is λ. If A1 and A2 are its activities at times t1 and t2 respectively, the number of nuclei which have decayed during the time (t1-t2)

(a) A1t1-A2t2                                       (b) A1-A2

(c) (A1-A2)λ                                         (d) λ(A1-A2) 

Concept Questions :-

Types of decay
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The activity of a radioactive sample is measured as N0 counts per minute at t=0 and N0/e counts per minute at t=5 min.The time (in minute) at which the activity reduces to half its value is 

(a) loge2/5                                                         (b) 5loge 2

(c) 5 log10 2                                                         (d) 5 loge 2

Concept Questions :-

Radioactivity
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The mass of a L37i nucleus is 0.042u less than the sum of the masses of al  its nucleons.The binding energy per nucleon of L37i nucleus is nearly

(a) 46 MeV                              (b) 5.6 MeV

(c) 3.9 MeV                             (d) 23 MeV

Concept Questions :-

Nuclear binding energy
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Two radioactive nuclei P and Q, in a given sample decay into a stable nucleus R. At time t=0, the number of P species are 4N0 and that of Q is and that of Q are N0.Half-life of P(for conversion to R) is 1 min whereas that of Q is 2 min. Initially there are no nuclei of R present in the sample. When number of nuclei of P and Q are equal, the number of nuclei of R present in the sample would be: 

(a)3N0                                          (b)9N02

(c)5N02                                       (d)2N0

Concept Questions :-

Radioactivity
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Fusion reaction takes place at high temperature because

(a) atoms get ionised at high temperature 

(b) kinetic energy is high enough to overcome the Coulomb repulsion between nuclei

(c) molecules break up at high temperature

(d) nuclei break up at high temperature

Concept Questions :-

Mass-energy equivalent
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The half-life of a radioactive isotope X is 50 yr.

It decays to another element Y which is stable.

The two elements X and Y were found to be in 

the ratio of 1:15 in a sample of a given rock.

The age of rock was estimated to be

(a) 200 yr

(b) 250 yr

(c) 100 yr

(d) 150 yr

Concept Questions :-

Radioactivity
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