Test: Nuclear & Particle Physics - 1 - Physics MCQ

Test: Nuclear & Particle Physics - 1 - Physics MCQ

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20 Questions MCQ Test GATE Physics Mock Test Series 2025 - Test: Nuclear & Particle Physics - 1

Test: Nuclear & Particle Physics - 1 for Physics 2024 is part of GATE Physics Mock Test Series 2025 preparation. The Test: Nuclear & Particle Physics - 1 questions and answers have been prepared according to the Physics exam syllabus.The Test: Nuclear & Particle Physics - 1 MCQs are made for Physics 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Nuclear & Particle Physics - 1 below.
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Test: Nuclear & Particle Physics - 1 - Question 1

The mass number of an element in a radioactive series is 223. The radioactive series is

Detailed Solution for Test: Nuclear & Particle Physics - 1 - Question 1

Mass number of radioactive element = 223
This mass number can be written in the form of 4n + 2, which coresponds to Uranium series.

Test: Nuclear & Particle Physics - 1 - Question 2

A nucleus having mass number A decays by α - emission to the ground state of its daughter nucleus. The Q value of the process is E. The energy of the a - particle is

Detailed Solution for Test: Nuclear & Particle Physics - 1 - Question 2

For α -particle emission, the kinetic energy of α -particle is given by
Kinetic Energy = Q x  where Q is energy released during α - decay process.

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Test: Nuclear & Particle Physics - 1 - Question 3

Assuming that a nucleus is a sphere of nuclear matter of radius 1.2 x A1/3 fm, the average nucleon density in S.l. units is; approximately

Detailed Solution for Test: Nuclear & Particle Physics - 1 - Question 3

The radius of nuclear matter is given by

The nucleon density

*Answer can only contain numeric values
Test: Nuclear & Particle Physics - 1 - Question 4

The ratio of radii of U238 and He4 nuclei is_______________(upto one decimal place)

Detailed Solution for Test: Nuclear & Particle Physics - 1 - Question 4

*Answer can only contain numeric values
Test: Nuclear & Particle Physics - 1 - Question 5

Mass of α - particle = 4.002603 amu, mass of proton = 1.007825 amu, mass of neutron = 1.008664 amu. Taking 1 amu = 931 MeV, the binding energy of a-panicle is________(upto two decimal places).

Detailed Solution for Test: Nuclear & Particle Physics - 1 - Question 5

Binding energy o f a -particle

Test: Nuclear & Particle Physics - 1 - Question 6

The empirical mass formula (neglecting a term representing the odd-even effect) is

where α, β, γ and ε are constants. The expression for the value of Z which corresponds to the most stable nucleus for a set of isobars of mass number A is

Detailed Solution for Test: Nuclear & Particle Physics - 1 - Question 6

Test: Nuclear & Particle Physics - 1 - Question 7

The radius of G e is measured to be twice the radius of 4Be9. The number of nucleons in Ge is

Detailed Solution for Test: Nuclear & Particle Physics - 1 - Question 7

Test: Nuclear & Particle Physics - 1 - Question 8

Which one of the following statement regarding neutrino is wrong?

Detailed Solution for Test: Nuclear & Particle Physics - 1 - Question 8

Neutrino has spin-1/2,. zero charge (neutral), zero rest mass and does not interact with matter.

*Answer can only contain numeric values
Test: Nuclear & Particle Physics - 1 - Question 9

The half life of radon ls 3.8 days. After 15.2 days, N/N will be________

Detailed Solution for Test: Nuclear & Particle Physics - 1 - Question 9

For Radon, T1/2 = 3.8 days
Now, number of half lives in 15.2 days = 15.2/ 3.8 = 4

*Answer can only contain numeric values
Test: Nuclear & Particle Physics - 1 - Question 10

The Q-value of the 3H(p,n)3 He reaction is -0.764 MeV. The threshold energy (for appearance of neutrons in the forward direction is___________MeV. (upto two decimal places)

Detailed Solution for Test: Nuclear & Particle Physics - 1 - Question 10

The threshold energy for apperance of neutron in the forward direction is

Test: Nuclear & Particle Physics - 1 - Question 11

The distance of closest approach of α -particles to the Copper nucleus (Z = 29). when a-particles of 5 MeV energy are scattered back by a thin sheet of Copper, is

Detailed Solution for Test: Nuclear & Particle Physics - 1 - Question 11

Let the distance of closest approach of α - particle to copper nucleus is b.

Test: Nuclear & Particle Physics - 1 - Question 12

Al are mirror nuclei. Tlie former is a position emitter with Emax = 3.48 MeV. The value of radius constant (r0) can be estimated as

Detailed Solution for Test: Nuclear & Particle Physics - 1 - Question 12

For positron emission,

Test: Nuclear & Particle Physics - 1 - Question 13

The expected value of shell-model quadmpole moment of209Bi. if the ground state spin-parity of209Bi is 9-/2

Detailed Solution for Test: Nuclear & Particle Physics - 1 - Question 13

The spin of 209 Bi 9/2

*Answer can only contain numeric values
Test: Nuclear & Particle Physics - 1 - Question 14

If the binding energies of the mirror nuclei 21Sc41 and 20Ca41 are 343.143 MeV and 350.420 MeV, respectively. The radii of these nuclei by using the semi-empirical mass formula is__________fm (upto two decimal places)

Detailed Solution for Test: Nuclear & Particle Physics - 1 - Question 14

Difference in binding energies of 21Sc41 and 20Ca41 = 350.420 - 343.143 = 7.277 MeV
Since, Difference in binding energies of min or nuclei 21Se41 and 20Ca41 is equal to difference in Coulomb energies.

Test: Nuclear & Particle Physics - 1 - Question 15

Using semi-empirical mass formula, the most stable isobar with mass number A = 65. corresponds to

Detailed Solution for Test: Nuclear & Particle Physics - 1 - Question 15

F or A = 65, the most stable isobar corresponds to

Test: Nuclear & Particle Physics - 1 - Question 16

From the shell model prediction, the ground state spin and parity of  nuclei, respectively.

Detailed Solution for Test: Nuclear & Particle Physics - 1 - Question 16

For
The shell structure of neutrons:
Therefore, last neutrons lies in  shell.
Therefore, the nuclear spin of
The parity of
Hence, nuclear spin-parity of
Similarly for
The last proton lies in  shell.
Hence, the nuclear spin-parity of

Test: Nuclear & Particle Physics - 1 - Question 17

The following interactions proceed through the strong, electromagnetic (EM) or weak interactions.
(i)
(ii)
(iii)
The correct order of interactions is

Detailed Solution for Test: Nuclear & Particle Physics - 1 - Question 17

is allowed via EM interaction because photon is involved.
is allowed via weak interaction because neutrino (Lepton) is involved.
is allowed via strong interaction because Barvons are involved.

Test: Nuclear & Particle Physics - 1 - Question 18

Which one of the following reaction is NOT forbidden ?

Detailed Solution for Test: Nuclear & Particle Physics - 1 - Question 18

(a) forbidden because energy is not conserved.
(b) forbidden because Baryon number is violated.
(c) allowed by strong interaction because ΔS = 0 and other quantum numbers are conserved.
(d) forbidden because Lepton number is not conserved.

Test: Nuclear & Particle Physics - 1 - Question 19

Consider the decay of K° meson of momentum P0 into ,π+ and π- of momenta p+ and p_ m the opposite direction such that p+ = 2p_. The value of p0 is given by

Detailed Solution for Test: Nuclear & Particle Physics - 1 - Question 19

∴
i.e.

Squaring both sides,

⇒
⇒
Squaring again,
⇒
⇒
⇒

*Answer can only contain numeric values
Test: Nuclear & Particle Physics - 1 - Question 20

The ground state magnetic moment of 33S16 is_____________μN.(Correct upto two decimal place).

Detailed Solution for Test: Nuclear & Particle Physics - 1 - Question 20

The nucleus  has 16 protons and 17 neutrons.
The shell structure of neutrons:

Since, last neutron lies in  shell.
Therefore, the nuclear spin
The magnetic moment of last neutron in  state is given by

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