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JEE • PHYSICS • NUCLEI

Nuclei practice · Hard

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Practice format and chapter quiz

These sets use single-correct-answer MCQs. They do not cover every JEE Main or JEE Advanced question format and are not full-length mock papers.

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1 Hard

1 of 6

Analyzing +4 | -1

Let

{A}_{{n}}

be the area enclosed by the

{n}

th orbit in a hydrogen atom. The graph of

\ln \left(\frac{{A_n}}{{A_1}}\right)

against

\ln {(n})

View answer and explanation

Correct option: A

Will pass through the origin

Option A (Will pass through the origin) is correct because the area enclosed by the nth orbit is proportional to n⁴, and the logarithmic relationship will pass through the origin.

2 Hard

2 of 6

Application +4 | -1

In the nuclear reaction

{ }_1 {H}^2+{ }_1 {H}^2 \longrightarrow{ }_2 {He}^3+{ }_0 n^1

Mass of deuterium atom

=2.014741 \,\mathrm{amu}

, Mass of

{ }_2 {He}^3

atom

=3.016977 \mathrm{~amu}

, and Mass of neutron

=1.008987 \mathrm{~amu}.

The

Q

-value of the reaction will be:

View answer and explanation

Correct option: B

3.27 \mathrm{~MeV}

Option B (

3.27 \mathrm{~MeV}

) is correct because it is calculated from the mass defect in the nuclear reaction using

Q = \Delta m \times c^2

3 Hard

3 of 6

Remembering +4 | -1

Choose incorrect statement:

View answer and explanation

Correct option: A

Nuclear forces are short ranging and charge
dependent

Option B (

\gamma

-rays) is correct because gamma rays have the shortest wavelength among the given electromagnetic waves.

4 Hard

4 of 6

Analyzing +4 | -1

Assertion: Binding energy increase with increase in atomic mass number.
Reason: Density of nucleus increase with increase in atomic mass number.

View answer and explanation

Correct option: C

If assertion is true but reason is false

Option C (If assertion is true but reason is false) is correct because binding energy increases with atomic mass number, but the density of the nucleus remains nearly constant.

5 Hard

5 of 6

Application +4 | -1

A radioactive sample decays by

\beta

-emission. In first two seconds '

n

\beta

-particles are emitted and in next 2 seconds, '

0.25n

\beta

-particles are emitted. The half-life of radioactive nuclei is:

View answer and explanation

Correct option: C

1 \mathrm{~sec}

The correct answer is C (

1 \mathrm{~sec}

) because the half-life can be determined by analyzing the decay rates over the given time intervals using the properties of exponential decay.

6 Hard

6 of 6

Application +4 | -1

Find out the mass of Uranium required per day to operate 0.95 MW nuclear power plant using

_{92}{U^{235}}

fission.

View answer and explanation

Correct option: A

1 gm

The correct answer is A (1 gm) because the mass of Uranium required is calculated based on the energy released per fission and the power plant's energy output per day.

Revision notes and key takeaways

Review NUCLEI in your textbook or class notes, then use this set to check your understanding.

Key Takeaways

✓ This set contains 6 single-correct-answer MCQs on NUCLEI.
✓ Try each question before opening its answer. Read the explanation where one is available.
✓ Sign in to save submitted answers. Revisit incorrect answers alongside your textbook or class notes.

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