An element \(A\) decays into element \(C\) by a two-step process
\(A\rightarrow B+_{2}^{4}\mathrm{He}\)
\(B\rightarrow C+2e^{-}\)
Then: 
1. \(A\) and \(C\) are isotopes
2. \(A\) and \(C\) are isobars
3. \(A\) and \(B\) are isotopes
4. \(A\) and \(B\) are isobars

Subtopic:  Types of Decay |
 66%
From NCERT
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The radius R of a nuclear matter varies with A as

1. R α A2/3

2. R α A1/3

3. R α A0 

4. R α A

Subtopic:  Mass-Energy Equivalent |
 95%
From NCERT
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Number of nuclei of a radioactive substance at time t = 0 are 2000 and 1800 at time t = 2s. Number of nuclei left after t = 6s is 

1. 1442 

2. 1554 

3. 1652 

4. 1458

Subtopic:  Radioactivity (OLD NCERT) |
 61%
From NCERT
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In a radioactive material, the activity at time t1 is R1 and at a later time, t2 is R2. If the decay constant of the material is λ, then:

1. R1=R2e-λt1-t2   

2. R1=R2eλt1-t2

3. R1=R2t2t1 

4. R1=R2

Subtopic:  Radioactivity (OLD NCERT) |
 73%
From NCERT
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Which of the following are suitable for the fusion process ? 

1. Light nuclei

2. Heavy nuclei

3. Elements lying in the middle of periodic table

4. Elements lying in the middle of binding energy curve

Subtopic:  Nuclear Binding Energy | Radioactivity (OLD NCERT) |
 79%
From NCERT
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In the nuclear reaction: \(\mathrm{X}\left(n,\alpha\right){}_{3}^{7}\mathrm{Li}\) the term \({X}\) will be:

1. \({}_{5}^{10}\mathrm{B}\) 2. \({}_{5}^{9}\mathrm{B}\)
3. \({}_{5}^{11}\mathrm{B}\) 4. \({}_{2}^{4}\mathrm{He}\)
Subtopic:  Types of Decay |
From NCERT
PMT - 2001
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Two radioactive substances A and B have decay constants 5λ and λ respectively. At t=0 they have the same number of nuclei. The ratio of number of nuclei of A to those of B will be 1e2 after a time interval

1. 14λ   

2. 4λ

3. 2λ 

4. 12λ

Subtopic:  Radioactivity (OLD NCERT) |
 50%
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10 g of radioactive material of half-life 15 year is kept in store for 20 years. The disintegrated material mass is 

1. 12.5 g

2. 10.5 g

3. 6.03 g

4. 4.03 g

Subtopic:  Radioactivity (OLD NCERT) |
 57%
From NCERT
PMT - 2002
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If a radioactive nucleus decays according to the following reaction

X18072αX1βX2αX3γX4

then the mass number and the atomic number of X4 then the mass number and the atomic number of X4 will be, respectively 

1. 172, 70 

2. 172, 69

3. 172, 68

4. 171, 69

Subtopic:  Types of Decay |
 86%
From NCERT
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A radioactive material has mean-lives of 1620 yr and 520 yr for α and β-emission. The material decays by simultaneous α and β-emission. The time in which 1/4th of the material remains intact is 

1. 4675 yr 

2. 720 yr

3. 545 yr 

4. 324 yr

Subtopic:  Radioactivity (OLD NCERT) |
From NCERT
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