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Q. No.The four graphs show different possible relationships between \(\text{ln}\left(\dfrac{{R}}{{R}_0}\right)\) and \(\text{ln}(A).\)
(where \(R\) is the radius of a nucleus and \(A \) is the mass number of the nucleus)
Which of these graphs (1, 2, 3, or 4) correctly represents the relationship between these nuclear parameters?
1.
2.
3.
4.
(where \(R\) is the radius of a nucleus and \(A \) is the mass number of the nucleus)
Which of these graphs (1, 2, 3, or 4) correctly represents the relationship between these nuclear parameters?
Subtopic: Nucleus |
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Level 2: 60%+
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How many alpha and beta particles are emitted when Uranium \(_{92} U^{238}\) decays to lead \(_{82} Pb^{206}\)?
1. 3 alpha particles and 5 beta particles
2. 6 alpha particles and 4 beta particles
3. 4 alpha particles and 5 beta particles
4. 8 alpha particles and 6 beta particles
1. 3 alpha particles and 5 beta particles
2. 6 alpha particles and 4 beta particles
3. 4 alpha particles and 5 beta particles
4. 8 alpha particles and 6 beta particles
Subtopic: Types of Decay |
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Level 1: 80%+
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A radioactive nucleus can decay by two different processes. The half-life for the first process is 3.0 hours while it is 4.5 hours for the second process. The effective half-life of the nucleus will be:
1. 3.75 hours
2. 0.56 hours
3. 0.26 hours
4. 1.80 hours
1. 3.75 hours
2. 0.56 hours
3. 0.26 hours
4. 1.80 hours
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The \(Q\text-\)value of a nuclear reaction and the kinetic energy of the projectile particle, \(K_p\) are related as:
1. \(Q= K_p\)
2. \((K_p+ Q)<0\)
3. \(Q<K_p\)
4. \((K_p+ Q)>0\)
1. \(Q= K_p\)
2. \((K_p+ Q)<0\)
3. \(Q<K_p\)
4. \((K_p+ Q)>0\)
Subtopic: Nuclear Binding Energy |
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Level 3: 35%-60%
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Following statements related to radioactivity are given below:
(A) Radioactivity is a random and spontaneous process and is dependent on physical and chemical conditions.
(B) The number of undecayed nuclei in the radioactive sample decays exponentially with time.
(C) Slope of the graph of \(log_e\) (no. of undecayed nuclei) Vs. time represents the reciprocal of mean life time \((\tau)\).
(D) Product of decay constant \((\lambda)\) and half–life time \((T_{1/2})\) is not constant.
Choose the most appropriate answer from the options given below:
1. (A) and (B) only
2. (B) and (D) only
3. (B) and (C) only
4. (C) and (D) only
(A) Radioactivity is a random and spontaneous process and is dependent on physical and chemical conditions.
(B) The number of undecayed nuclei in the radioactive sample decays exponentially with time.
(C) Slope of the graph of \(log_e\) (no. of undecayed nuclei) Vs. time represents the reciprocal of mean life time \((\tau)\).
(D) Product of decay constant \((\lambda)\) and half–life time \((T_{1/2})\) is not constant.
Choose the most appropriate answer from the options given below:
1. (A) and (B) only
2. (B) and (D) only
3. (B) and (C) only
4. (C) and (D) only
Level 3: 35%-60%
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Nucleus \(A\) is having mass number \(220\) and its binding energy per nucleon is \(5.6~\text{MeV}.\) It split into two fragments \(B\) and \(C\) of mass numbers \(105\) and \(115.\) The binding energy of nucleons in \(B\) and \(C\) is \(6.4~\text{MeV}\) per nucleon. The energy \(Q\) released per fission will be:
1. \(0.8~\text{MeV}\)
2. \(275~\text{MeV}\)
3. \(220~\text{MeV}\)
4. \(176~\text{MeV}\)
1. \(0.8~\text{MeV}\)
2. \(275~\text{MeV}\)
3. \(220~\text{MeV}\)
4. \(176~\text{MeV}\)
Subtopic: Nuclear Binding Energy |
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Read the following statements:
Choose the correct option from the following options.
| A. | Volume of the nucleus is directly proportional to the mass number. |
| B. | Volume of the nucleus is independent of mass number. |
| C. | Density of the nucleus is directly proportional to the mass number. |
| D. | Density of the nucleus is directly proportional to the cube root of the mass number. |
| E. | Density of the nucleus is independent of the mass number. |
| 1. | (A) and (D) only. |
| 2. | (A) and (E) only. |
| 3. | (B) and (E) only. |
| 4. | (A) and (C) only. |
Subtopic: Nucleus |
85%
Level 1: 80%+
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In the following nuclear reaction,
Mass number of D is 182 and atomic number is 74. Mass number and atomic number of D4 respectively will be:
1. 174 and 71
2. 174 and 69
3. 172 and 69
4. 172 and 71
Mass number of D is 182 and atomic number is 74. Mass number and atomic number of D4 respectively will be:
1. 174 and 71
2. 174 and 69
3. 172 and 69
4. 172 and 71
Subtopic: Types of Decay |
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The activity of a radioactive material is 2.56 × 10-3 Ci. If the half-life of the material is 5 days, after how many days the activity will become 2 × 10-5 Ci?
1. 30 days
2. 35 days
3. 40 days
4. 25 days
1. 30 days
2. 35 days
3. 40 days
4. 25 days
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The half-life period of a radioactive substance is 60 days. The time taken for \(7 \over 8\)th of its original mass to disintegrate will be :
1. 120 days
2. 130 days
3. 180 days
4. 20 days
1. 120 days
2. 130 days
3. 180 days
4. 20 days
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