# Test: Nuclear & Particle Physics - 1

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

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Attempt Test: Nuclear & Particle Physics - 1 | 20 questions in 40 minutes | Mock test for GATE preparation | Free important questions MCQ to study GATE Physics Mock Test Series for GATE Exam | Download free PDF with solutions
QUESTION: 1

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

Solution:

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

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

Solution:

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.

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

Solution:

The radius of nuclear matter is given by The nucleon density     *Answer can only contain numeric values
QUESTION: 4

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

Solution:  *Answer can only contain numeric values
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).

Solution:

Binding energy o f a -particle 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 Solution:       QUESTION: 7

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

Solution:   QUESTION: 8

Which one of the following statement regarding neutrino is wrong?

Solution:

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

*Answer can only contain numeric values
QUESTION: 9

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

Solution:

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
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)

Solution:

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

Solution:

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

Solution:

For positron emission,    QUESTION: 13

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

Solution:

The spin of 209 Bi 9/2      *Answer can only contain numeric values
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) Solution:

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.    QUESTION: 15

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

Solution:

F or A = 65, the most stable isobar corresponds to QUESTION: 16

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

Solution:

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 QUESTION: 17

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

Solution: 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.

QUESTION: 18

Which one of the following reaction is NOT forbidden ?

Solution:

(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.

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

Solution:  ∴ i.e.   Squaring both sides, ⇒ ⇒ Squaring again,
⇒ ⇒ ⇒ *Answer can only contain numeric values
QUESTION: 20

The ground state magnetic moment of 33S16 is_____________μN.

Solution:

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  Use Code STAYHOME200 and get INR 200 additional OFF Use Coupon Code