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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 the 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) |
 67%
From NCERT
AIPMT - 2007
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The binding energy of deuteron is 2.2 MeV and that of 2He4 is 28 MeV. If two deuterons are fused to form one 2He4then the energy released is:
1. 25.8 MeV
2. 23.6 MeV
3. 19.2 MeV
4. 30.2 MeV

Subtopic:  Nuclear Binding Energy |
 74%
From NCERT
AIPMT - 2006
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In a radioactive material, the activity at time t1 is R1 and at a later time t2, it is R2. If the decay constant of the material is λ, then:

1. R1=R2eλ(t1+t2)

2. R1=R2e-λ(t1-t2)

3. R1=R2(t1-t2)

4. R1=R2

Subtopic:  Radioactivity (OLD NCERT) |
 71%
From NCERT
AIPMT - 2006
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A nucleus ZXA has a mass represented by M(A,Z). If MP and Mn denote the mass of proton and neutron respectively and BE the binding energy, then:

1. BE=[M(A,Z)-ZMp-(A-Z)Mn]c2

2. BE=[ZMp+(A-Z)Mn-M(A, Z)]c2

3. BE=[ZMp+AMn-M-(A, Z)]c2

4. BE=M(A, Z)-ZMp-(A-Z)Mn

Subtopic:  Nuclear Binding Energy |
 83%
From NCERT
AIPMT - 2007
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In the radioactive decay process, the negatively charged emitted β-particles are:

1. the electrons present inside the nucleus
2. the electrons produced as a result of the decay
of neutrons inside the nucleus
3. the electrons produced as a result of collisions
between atoms
4. the electrons orbiting around the nucleus

Subtopic:  Types of Decay |
 79%
From NCERT
AIPMT - 2007
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Two nuclei have their mass numbers in the ratio of 1:3. The ratio of their nuclear densities would be:
1. 1:3
2. 3:1
3. (3)1/3:1
4. 1:1

Subtopic:  Nucleus |
 80%
From NCERT
AIPMT - 2008
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If M(A, Z)Mp, and Mn denote the masses of the nucleus AZX, proton, and neutron respectively in units of u (1 u=931.5 MeV/c2) and represent its binding energy (BE) in MeV. Then:

1. M(A,Z)=ZMp+(AZ)MnBEc2
2. M(A,Z)=ZMp+(AZ)Mn+BE
3. M(A,Z)=ZMp+(AZ)MnBE
4. M(A,Z)=ZMp+(AZ)Mn+BEc2
Subtopic:  Mass-Energy Equivalent |
 73%
From NCERT
AIPMT - 2008
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The decay constants of two radioactive materials X1 and X2 are 5λ and λ respectively. Initially, they have the same number of nuclei.  The ratio of the number of nuclei of X1 to that of X2  will be 1/e after a time:
1. λ

2. 12λ

3. 14λ

4. eλ

Subtopic:  Types of Decay |
 78%
From NCERT
AIPMT - 2008
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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:

1. isobar of a parent. 2. isomer of a parent.
3. isotone of a parent. 4. isotope of a parent.
Subtopic:  Types of Decay |
 66%
From NCERT
AIPMT - 2009
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In the nuclear decay given below:
AZXAZ+1YA4Z1BA4Z1B the particles emitted in the sequence are:
1. β,α,γ 2. γ,β,α
3. β,γ,α 4. α,β,γ
Subtopic:  Types of Decay |
 90%
From NCERT
AIPMT - 2009
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