Select Chapter Topics:
Q. No.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
57%
Level 3: 35%-60%
JEE
Please attempt this question first.
Hints
Please attempt this question first.
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 |
Level 3: 35%-60%
Please attempt this question first.
Hints
Please attempt this question first.
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
52%
Level 3: 35%-60%
JEE
Please attempt this question first.
Hints
Please attempt this question first.
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 |
88%
Level 1: 80%+
JEE
Please attempt this question first.
Hints
Please attempt this question first.
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. |  |
Subtopic: Nucleus |
77%
Level 2: 60%+
JEE
Hints
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 |
83%
Level 1: 80%+
JEE
Please attempt this question first.
Hints
Please attempt this question first.
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%+
JEE
Hints
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 |
79%
Level 2: 60%+
JEE
Please attempt this question first.
Hints
Please attempt this question first.
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
73%
Level 2: 60%+
JEE
Please attempt this question first.
Hints
Please attempt this question first.
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
76%
Level 2: 60%+
JEE
Please attempt this question first.
Hints
Please attempt this question first.
Select Chapter Topics:
© 2025 GoodEd Technologies Pvt. Ltd.