55 Official GATE PH Questions with Verified Solutions & Answer Keys
According to the shell model the ground state spin of the 'O nucleus is (A) (B) (C) 2 3 (D) 2 5...
The strange baryon Z* has the quark structure (A) uds (B) und (C) uus (D) us...
According to the quark model, the K* meson is composed of the following quarks: (A) u u d (B) u C (C) u S (D) s u 4...
An O' nucleus is spherical and has a charge radius R and a volume V= . According to the nucleus, assumed to be empirical observations of the charge radii, the volume of the s4Xel28...
Choose the correct statement from the following: (A) The reaction K*K → pp can proceed irrespective of the kinetic energies of K* and K*. (B) The reaction K* K → pp is forbidden by...
The four possible configurations of neutrons in the ground state of „Be' nucleus, according to the shell model, and the associated nuclear spin are listed below. Choose the correct...
A heavy nucleus is found to contain more neutrons than protons. This fact is related to which one of the following statements. (A) The nuclear force between neutrons is stronger th...
A neutral pi meson (t°) has a rest-mass of approximately 140 MeV/c and a lifetime of t sec. A t' produced in the laboratory is found to decay after 1.25 t sec into two photons. Whi...
In the quark model which one of the following represents a proton ? (A) udd (B) uud (C) ub (D) cc...
Consider the following expression for the mass of a nucleus with Z protons and A nucleons: M (4,2) = z(J(1) + yZ +z7'). Here J (4) is a function of A, y=-4а,, z =a,A"" + 4а,А", a, ...
The basic process underlying the neutron B - decay is (A) d →uté +F, (B) d→uté (C) s→4+6+7. (D) u→dté+7,...
In the nuclear shell model the spin parily of "N is given by (A) }...
The guark content of E',K*-t and p is indicated: (5) = (uus): (R) =|s): (=) =|ued): (p) =|/und). In the process, n +p→K +&*, considering strong interactions only, which of the foll...
According to the single particle nuclear shell model, the spin-parity of the ground state of '?O is (A) } (В) 3 (0) 3* (D) 2 PH 8/20 2011 PH...
In the B-decay of neutron n → p+è +V., the anti-neutrino V, escapes detection. Its existence is inferred from the measurement of (A) energy distribution of electrons (B) angular di...
The isospin and the strangeness of S baryon are (A) 1,-3 (B) 0,-3 (C) 1,3 (D) 0,3...
Choose the CORRECT statement from the following. (A) Neutron interacts through electromagnetic interaction (B) Electron does not interact through weak interaction (C) Neutrino inte...
In the β decay process, the transition 2+ →3 +, is...
The electromagnetic form factor F(q2) of a nucleus is given by, 2 2 where ܳis a constant. Given that \pi ݍrݍ _0 ) =1 where ρ(r) is the charge density, the root mean square radius o...
Consider the decay of a pion into a muon and an anti-neutrino \pi \nu̅ in the pion rest frame. 2 , 2 , 0 The energy (in MeV) of the emitted neutrino, to the nearest integer is ____...
For the O17 nucleus (A=17, Z=8), the effective magnetic moment is given by, ߤԦ = 2݃ܬԦ , where ݃is equal to, (0 =5 . 5 9 for proton and -3.83 for neutron) (A) 1.12 (B) -0.77 (C) -...
Which one of the following three-quark states (qqq), denoted by X, CAN NOT be a possible baryon? The corresponding electric charge is indicated in the superscript. (A) X + + (B) X ...
The mean kinetic energy of a nucleon in a nucleus of atomic weight A varies as A", where n is (upto two decimal places)...
3 A particle with rest mass M is at rest and decays into two particles of equal rest masses -M 10 which move along the z axis. Their velocities are given by (A) = V= (0.80) = (C) V...
Consider an elastic scattering of particles in / = 0 states. If the corresponding phase shift б, is 90° and the magnitude of the incident wave vector is equal to V2 fm' then the to...
Protons and a-particles of equal initial momenta are scattered off a gold foil in a Rutherford scattering experiment. The scattering cross sections for proton on gold and a-particl...
A particle of rest mass M is moving along the positive x-direction. It decays into two photons ri and y, as shown in the figure. The energy of y, is 1 GeV and the energy of Y is 0....
According to the nuclear shell model, the respective ground state spin-parity values of '§0 and GATE 2016 Physics...
JP for the ground state of the 13C% nucleus is (A) 1+ 3- (B) - 2 3+ (C) 2 1- (D) 2...
The it decays at rest to M* and V. Assuming the neutrino to be massless, the momentum of the neutrino is MeV/c. (up to two decimal places) (m = 139MeV / c* , M, =105 MeV/ c*)....
The elementary particle E° is placed in the baryon decuplet, shown below, at Д++ Strangeness P PR (A) P (B) Q S 3rd component of isospin (C)R (D) S PH 3/12 GATE 2018 Physics...
In the decay, ut → et + Ve + X, what is X? (A) Y (B) Ve (C) Vu (D) Vu...
For nucleus 164Er, a J™ = 2† state is at 90 keV. Assuming 164Er to be a rigid rotor, the energy of its 4+ state is keV (up to one decimal place). PH 5/12 GATE 2018...
Considering baryon number and lepton number conservation laws, which of the following process is/are allowed? (i) 0 e p e π ν + → + + (ii) e e vµ ν µ + + + → + (a) both (i) and (ii...
A massive particle X in free space decays spontaneously into two photons. Which of the following statements is true for X ? (a) X is charged (b) Spin of X must be greater than or e...
A radioactive element X has a half-life of 30 hours. It decays via alpha, beta and gamma emissions with the branching ratio for beta decay being 0.75. The partial half-life for bet...
A particle Y undergoes strong decay Y → IT + T . The isospin of Y is...
If a and b are constant vectors, & and p are generalized positions and conjugate momenta, respectively, then for the transformation @ = a p and P = b \cdotF to be canonical, the va...
Consider a cross-section of an electromagnet having an air-gap of 5 cm as shown in the figure. It consists of a magnetic material (M = 20000po) and is driven by a coil having NI = ...
The spin-orbit effect splits the 2p - 2S transition (wavelength, 2 = 6521 A) in Lithium into two lines with separation of A2 = 0.14 A. The corresponding positive value of energy di...
Match the order of \beta - decays given in the left column to appropriate clause in the right column. Here X(I\pi) and Y(I\pi) are nuclei with intrinsic spin I and parity 𝜋. 1. X ...
If nucleons in a nucleus are considered to be confined in a three-dimensional cubical box, then the first four magic numbers are...
Two identical, non-interacting 4He2 atoms are distributed among 4 different non- degenerate energy levels. The probability that they occupy different energy levels is p. Similarly,...
Two identical bodies kept at temperatures 800 K and 200 K act as the hot and the cold reservoirs of an ideal heat engine , respectively . Assume that their heat capacity ( C) in Jo...
Consider the induced nuclear fission reaction U92 235 + n → Rb37 93 + Cs55 141 + 2n where neutron momenta in both initial and final state s are negligible. The ratio of the kinetic...
Let Ne and Te, respectively, denote number and kinetic energy of electrons produced in a nuclear beta decay. Which one of the following distributions is correct? (A) (B) (C) (D)...
An electron in the Coulomb field of a proton is in the following state of coherent superposition of orthonormal states 𝜓nlm Ψ = 1 3 𝜓100 + 1 √3 𝜓210 - √5 3 𝜓320 Let E1, E2, and...
According to the nuclear shell model, the absolute value of the difference in magnetic moments of O8 15 and N7 15 , in the units of nuclear magneton (\muN) is a/3. The magnitude of...
Which one of the following baryons has strangeness quantum number S = -1?...
The nuclear energy levels of mirror nuclei are similar. Using this empirical fact alone, the nuclear force can be said to be independent of which one of the following properties of...
A rocket of length 18.0 m is moving at speed 0.9c (where c is the speed of light) parallel to its own length, relative to the earth. The length of the rocket measured in meters by ...
Consider a particle of mass m = 9.0 × 10-5 kg and charge q = 3.0 × 10-4 C in a uniform electromagnetic field E⃗ = 2 x̂ V. m-1, B⃗ = 3 ẑ V. m-2. s. The particle is released from th...
The Hamiltonian of two interacting spin-1/2 particles is H = A \hbar2 S 1 ⋅ S 2 , where S 1 and S 2 are the spin angular momenta of particles 1 and 2, respectively. Here, A = 10.56...
Two 1 kg blocks are connected to two massless springs of spring constants 8 N. m-1 and 4 N. m-1. The system is kept on a frictionless horizontal floor with one end of a spring atta...
A 15 cm long scale is held horizontally with one of its ends on the edge of a 1 m high table and the other end resting on one's index finger. As the finger is removed (see figure b...