The mass of a \({}_{3}^{7}\mathrm{Li}\) nucleus is \(0.042\) u less than the sum of the masses of all its nucleons. The binding energy per nucleon of the \({}_{3}^{7}\mathrm{Li}\) nucleus is near:
1. \(4.6\) MeV
2. \(5.6\) MeV
3. \(3.9\) MeV
4. \(23\) MeV

Subtopic:  Nuclear Binding Energy |
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AIPMT - 2010

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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:

1. loge25

2. loge5

3. log102

4. 5 loge2

Subtopic:  Radioactivity (OLD NCERT) |
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In the nuclear decay given below: 
XZAYZ+1ABZ-1A-4BZ-1A-4
the particles emitted in the sequence are:

1. \(\beta, \alpha, \gamma \) 2. \(\gamma, \beta, \alpha \)
3. \(\beta, \gamma, \alpha \) 4. \(\alpha, \beta, \gamma\)
Subtopic:  Types of Decay |
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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 parent
2. Isomer of parent
3. Isotone of parent
4. Isotope of parent

 

Subtopic:  Types of Decay |
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If \(M(A,Z)\)\(M_p\) and \(M_n\) denote the masses of the nucleus \({}_{Z}^{A}\mathrm{X}\), proton, and neutron respectively in units of u (\(1\) u = \(931.5\) MeV/c2) and \(BE\) represents its binding energy in MeV, then:
1. \(M(A, Z)=ZM_p+(A-Z) M_n-B E / c^2\)
2. \({M}({A}, {Z})={ZM}_{p}+({A}-{Z}) {M}_{n}+{BE}\)
3. \(M(A, Z)=ZM_p+(A-Z) M_n-B E\)
4. \({M}({A}, {Z})={ZM}_{p}+({A}-{Z}) {M}_{n}+{BE/c}^2 \)
Subtopic:  Nuclear Binding Energy |
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AIPMT - 2008

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In 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 |
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A nucleus ZXA has 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 |
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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) |
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The binding energy of deuteron is \(2.2\) MeV and that of \({}_{2}^{4}\mathrm{He}\) is \(28\) MeV. If two deuterons are fused to form one \({}_{2}^{4}\mathrm{He}\) then the energy released is:
1. \(25.8\) MeV 2. \(23.6\) MeV
3. \(19.2\) MeV 4. \(30.2\) MeV
Subtopic:  Nuclear Binding Energy |
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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) |
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