The half-life of a radioactive nucleus is 50 days. The time interval (t2-t1) between the time t2 when 23 of it has decayed and the time t1 when 13 of it had decayed is:

1. 30 days

2. 50 days

3. 60 days

4. 15 days

Subtopic:  Radioactivity (OLD NCERT) |
 76%
From NCERT
NEET - 2012
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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 N0Half-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: 

1. 3N0                                         

2. 9N02

3. 5N02                                       

4. 2N0

Subtopic:  Radioactivity (OLD NCERT) |
 67%
From NCERT
NEET - 2011
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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) is:

1. A1t1-A2t2                                       

2. A1-A2

3. (A1-A2)λ                                         

4. λ(A1-A2) 

Subtopic:  Radioactivity (OLD NCERT) |
 67%
From NCERT
NEET - 2010
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The rest energy of an electron is:
1. \(510\) KeV 2. \(931\) KeV
3. \(510\) MeV 4. \(931\) MeV
Subtopic:  Mass-Energy Equivalent |
From NCERT
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The mass of an α-particle is:

1. less than the sum of masses of two protons and two neutrons.
2. equal to the mass of four protons.
3. equal to the mass of four neutrons.
4. equal to the sum of masses of two protons and two neutrons.
Subtopic:  Nuclear Binding Energy |
 56%
From NCERT
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In nuclear reaction \({}_{2}^{4}\mathrm{He}+ {}_{Z}^{A}\mathrm{X}\rightarrow {}_{Z+2}^{A+3}\mathrm{X}+\mathrm{B},\) \(\mathrm {B}\) denotes:
1. Electron
2. Positron
3. Proton
4. Neutron

Subtopic:  Types of Decay |
 64%
From NCERT
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If an electron and a positron annihilate, then the energy released is:
1. \(3.2\times 10^{-13}~\text{J}\)
2. \(1.6\times 10^{-13}~\text{J}\)
3. \(4.8\times 10^{-13}~\text{J}\)
4. \(6.4\times 10^{-13}~\text{J}\)

Subtopic:  Mass-Energy Equivalent |
 63%
From NCERT
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Fission of nuclei is possible because the binding energy per nucleon in them:

1. increases with mass number at high mass numbers.
2. decreases with mass number at high mass numbers.
3. increases with mass number at low mass numbers.
4. decreases with mass number at low mass numbers.

Subtopic:  Nuclear Binding Energy |
 59%
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\({}_{10}^{22}\mathrm{Ne}\) nucleus after absorbing energy decays into two \(\alpha \text{-particle}\) and an unknown nucleus. The unknown nucleus is:
1. Nitrogen
2. Carbon
3. Boron
4. Oxygen

Subtopic:  Types of Decay |
 70%
From NCERT
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An atomic nucleus \({}_{90}^{232}\mathrm{Th}\) emits several \(\alpha\) and \(\beta\) radiations and finally reduces to \({}_{82}^{208}\mathrm{Pb}\). It must have emitted:
1. \(4\alpha~\text{and}~2\beta\)
2. \(6\alpha~\text{and}~4\beta\)
3. \(8\alpha~\text{and}~24\beta\)
4. \(4\alpha~\text{and}~16\beta\)

Subtopic:  Types of Decay |
 84%
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