Nuclear Physics MSQ

*Multiple options can be correct

QUESTION: 1

For a radioactive substance with half life t_1/2 and initial number of nuclei N₀. The number the nuclei decayed in 3 half lives is :

Solution:

Number of nuclei remaining after
n half lives is

The correct answer is:

*Multiple options can be correct

QUESTION: 2

A singly charged positive ion is accelerated through a potential difference of 1000V in a mass spectrograph. It then passes through a uniform magnetic field B = 1500 Gauss and then deflected into a circular path of radius 0.122 m.

Select the correct statements

A.
The speed of the ion is 1.09 × 10⁵ m/s
B.
The mass of the ion is 2.68 × 10^–26 kg
C.
The speed of the ion is 1.09 × 10⁶ m/s
D.
The mass of the ion is 2.68 × 10^–27 kg

Solution:

= 1.09 × 10⁵ m/s

The correct answers are: The speed of the ion is 1.09 × 10⁵ m/s, The mass of the ion is 2.68 × 10^–26 kg

*Multiple options can be correct

QUESTION: 3

A singly charged positive ion is accelerated through a potential difference of 1000V in a mass spectrograph. It then passes through a uniform magnetic field B = 1500 Gauss and then deflected into a circular path of radius 0.122 m. The mass number of the ion is :

A.
275
B.
200
C.
100
D.
159

Solution:

Mass No. = No. of p + No. of neutron

= 2.75 × 10²
A = 275
The correct answer is: 275

*Multiple options can be correct

QUESTION: 4

Choose the correct option for mirror nuclei

A.
The difference in masses is due to the difference in the proton & neutron masses & difference in the coulomb energy.
B.
Nuclei with same mass number but the number of neutrons and protons reversed are called mirror nuclei
C.
The mirror nuclei have same masses since their mass number is the same
D.
The mirror nuclei have different masses

Solution:

Mirror nuclei have same A but the number of neutrons & protons are reversed.
There is a slight difference in the masses of a proton & neutron. This apart from the different coulomb force in mirror nuclei result in the difference in their masses.

The correct answers are: Nuclei with same mass number but the number of neutrons and protons reversed are called mirror nuclei, The mirror nuclei have different masses, The difference in masses is due to the difference in the proton & neutron masses & difference in the coulomb energy.

*Multiple options can be correct

QUESTION: 5

1 mg of a radioactive material with half life 1600 years is kept for 2000 years. Choose the correct option.

A.
0.42 mg material decayed in 2000 years
B.
0.42 mg material was left after 2000 years
C.
0.58 mg material decayed in 2000 years
D.
0.58 mg material remained after 2000 years

Solution:

mass remaining after 2000 years is

mass decayed = 0.58 mg

The correct answers are: 0.42 mg material was left after 2000 years, 0.58 mg material decayed in 2000 years

*Multiple options can be correct

QUESTION: 6

What are the reasons leading to the discovery of a neutrino in the case of a Beta decay

A.
Most electrons were emitted with energy much less than maximum kinetic energy.
B.
Non conservation of angular momentum
C.
Continuous βray spectrum instead of a discrete spectrum as would have been the case had there only been an electron emitted
D.
Non conservation of linear momentum

Solution:

The correct answers are: Continuous βray spectrum instead of a discrete spectrum as would have been the case had there only been an electron emitted, Most electrons were emitted with energy much less than maximum kinetic energy., Non conservation of angular momentum, Non conservation of linear momentum

*Multiple options can be correct

QUESTION: 7

Nuclear force is

A.
has repulsive core
B.
charge independent
C.
spin dependent
D.
same between two proton and two neutron

Solution:

The correct answers are: spin dependent, charge independent, has repulsive core, same between two proton and two neutron

*Multiple options can be correct

QUESTION: 8

From the Binding energy per nucleon curve, one can deduce that

A.
Nuclei with smaller mass number tend to undergo nuclear fission
B.
Nuclei with larger mass number tend to undergo nuclear fusion
C.
Nuclei with larger mass number tend to undergo nuclear fission
D.
Nuclei with lower mass number tend to undergo fusion

Solution:

B.E./Neutron

Nuclei with smaller A fuse to form a nucleus of higher A which has more B.E./nucleon compared to the reactants. Nuclei with higher A(~200) fission into nuclei of smaller A which have higher B.E./nuclei (thus they are more stable).

The correct answers are: Nuclei with lower mass number tend to undergo fusion, Nuclei with larger mass number tend to undergo nuclear fission

*Multiple options can be correct

QUESTION: 9

Which of the following is true about

A.
²³⁸Pu prefers to decay by emitting a deuteron over α particle because the daughter nucleus in the case of deuteron emission has a larger ratio of n/p.
B.
²³⁸Pu prefers to decay by emitting a deuteron over α particle because the daughter nucleus has a smaller ratio of n/p.
C.
²³⁸Pu prefers to decay by emitting an α particle.
D.
Emitting an α particle results in a nucleus having greater binding energy per nucleon

Solution:

Deuteron emission
α particle emission
has a lower mass number & from the B.E/nucleon v/s A plot, it can be concluded that  will have a greater B.E./nucleon as compared to
∴  it would be more stable
∴  α decay is preferred

The correct answers are: ²³⁸Pu prefers to decay by emitting an α particle., Emitting an α particle results in a nucleus having greater binding energy per nucleon.

*Multiple options can be correct

QUESTION: 10

Which of the following is true regarding the beam energies required to probe the inside of nucleus

A.
The energy of a proton beam to probe the inside of a nucleus is of order MeV.
B.
The energy of an electron beam to probe the inside of a nucleus is of the order of GeV.
C.
The energy of the electron beam to probe the inside of nucleus is of the order of MeV.
D.
The energy of a proton beam to probe the inside of a nucleus is of the order of GeV.

Solution:

For an electron beam

~0.22 × 10¹⁰
= 2.2 × 10⁹ eV
= 2.2 GeV
For proton beams,

= 8.5 × 10⁶ eV

= 8.5 MeV

The correct answers are: The energy of a proton beam to probe the inside of a nucleus is of order MeV., The energy of an electron beam to probe the inside of a nucleus is of the order of GeV.

10 Questions MCQ Test Modern Physics for IIT JAM | Nuclear Physics MSQ

For a radioactive substance with half life t_1/2 and initial number of nuclei N₀. The number the nuclei decayed in 3 half lives is :

A singly charged positive ion is accelerated through a potential difference of 1000V in a mass spectrograph. It then passes through a uniform magnetic field B = 1500 Gauss and then deflected into a circular path of radius 0.122 m.

Select the correct statements

A singly charged positive ion is accelerated through a potential difference of 1000V in a mass spectrograph. It then passes through a uniform magnetic field B = 1500 Gauss and then deflected into a circular path of radius 0.122 m. The mass number of the ion is :

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Nuclear Physics MSQ

10 Questions MCQ Test Modern Physics for IIT JAM | Nuclear Physics MSQ

For a radioactive substance with half life t1/2 and initial number of nuclei N0. The number the nuclei decayed in 3 half lives is :

A singly charged positive ion is accelerated through a potential difference of 1000V in a mass spectrograph. It then passes through a uniform magnetic field B = 1500 Gauss and then deflected into a circular path of radius 0.122 m. Select the correct statements

A singly charged positive ion is accelerated through a potential difference of 1000V in a mass spectrograph. It then passes through a uniform magnetic field B = 1500 Gauss and then deflected into a circular path of radius 0.122 m. The mass number of the ion is :

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For a radioactive substance with half life t_1/2 and initial number of nuclei N₀. The number the nuclei decayed in 3 half lives is :

A singly charged positive ion is accelerated through a potential difference of 1000V in a mass spectrograph. It then passes through a uniform magnetic field B = 1500 Gauss and then deflected into a circular path of radius 0.122 m.

Select the correct statements