Assertion (A): The density of nucleus is much higher than that of ordinary matter.
Reason (R): Most of the mass of the atom is concentrated in the nucleus while the size of this nucleus is almost $$10^5$$ times smaller.

1.  (A) is true but (R) is false.
2.  (A) is false but (R) is true.
3.  Both (A) and (R) are true and (R) is the correct explanation of (A).
4.  Both (A) and (R) are true but (R) is not the correct explanation of (A).
Subtopic:  Nucleus |
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The variation of the decay rate of two radioactive samples A and B with time is shown in the figure.

Which of the following statements are true?

(a) Decay constant of A is greater than that of B, hence A always decays faster than B
(b) Decay constant of B is greater than that of A but its decay rate is always smaller than that of A
(c) Decay constant of A is greater than that of B but it does not always decay faster than B
(d) Decay constant of B is smaller than that of A but still its decay rate becomes equal to that of A at a later instant

1. (a, b)

2. (a, c)

3. (b, d)

4. (c, d)

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Graph given below shows the variation of binding energy per nucleon, Ebn as a function of mass number. For nuclei with mass number A such that, 30 < A < 170, Ebn is almost constant because nuclear forces are:

1. Short-ranged

2. Medium-ranged

3. Long-ranged

4. None of the above

Subtopic:  Nuclear Binding Energy |
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Graph gives the variation of potential energy of a pair of nucleons as a function of their separation, r. From the graph it can be concluded that the force between nucleons is attractive for distances:

1. Less than ro

2. Greater than ro

3. Less than $\frac{{r}_{o}}{2}$

4. Less than $\frac{{r}_{o}}{4}$

Subtopic:  Nuclear Binding Energy |
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The graph shows the exponential decay of a radioactive specie. The number of nuclei decayed after time t is:

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Assertion: Radioactive nuclei emits $$\beta^- -$$ particles.
Reason: Electrons exist inside the nucleus.
1. Both assertion and reason are correct and the reason is the correct explanation of assertion.
2. Both Assertion and reason are correct but the reason is not the correct explanation of assertion.
3. Assertion is correct and the reason is incorrect.
4. Assertion is incorrect and the reason is correct.
Subtopic:  Types of Decay |
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Assertion: A beam of charged particles is employed in the treatment of cancer.
Reason: Charged particles on passing through a material medium lose their energy by causing ionization of the atoms along their path.
1. Both assertion and reason are true and the reason is the correct explanation of assertion.
2. Both assertion and reason are true but reason is not the correct explanation of assertion.
3. Assertion is true but reason is false.
4. Both assertion and reason are false.
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Assertion: In $$\alpha-decay$$ atomic number of daughter nucleus reduces by 2 units from the parent nucleus.
Reason: An $$\alpha-particle$$ carries four units of mass.
1. Both assertion and reason are true and the reason is the correct explanation of the assertion
2. Both assertion and reason are true but the reason is not the correct explanation of the assertion
3. Assertion is true but the reason is false
4. Both assertion and reason are false

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Assertion: Forces (nuclear) acting between proton-proton (fpp),  proton-neutron (fpn) and neutron-neutron (fnn) are such that fpp<fpn=fnn
Reason: Electrostatic force of repulsion between two protons reduces net nuclear forces between them.
1. Both assertion and reason are true and the reason is the correct explanation of the assertion.
2. Both assertion and reason are true but the reason is not the correct explanation of the assertion.
3.  Assertion is true but the reason is false.
4. Both assertion and reason are false.

Subtopic:  Nuclear Binding Energy |
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Assertion: In a radioactive disintegration, an electron is emitted by the nucleus.
Reason: Electrons are present inside the nucleus.
1. Both the assertion and reason are true and reason explains the assertion.
2. Both the assertion and reason are true but reason does not explain the assertion.
3. Assertion is true but reason is false.
4. Assertion is false but reason is true.