GATE 2023 PH – Previous Year Questions with Solutions
All 65 questions of GATE 2023 PH with answers and explanations. Read each question, then practise it by topic or as a full paper.
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- Question 1 – "You are delaying the completion of the task. Send contributions at the earliest."
- Question 2 – References : : : Guidelines : Implement (By word meaning)
- Question 3 – In the given figure, PQRS is a parallelogram with PS = 7 cm, PT = 4 cm and PV = 5 cm. What is the length of RS in cm? (The diagram is representative.)
- Question 4 – In 2022, June Huh was awarded the Fields medal, which is the highest prize in Mathematics. When he was younger, he was also a poet. He did not win any…
- Question 5 – A line of symmetry is defined as a line that divides a figure into two parts in a way such that each part is a mirror image of the other part about…
- Question 6 – Human beings are one among many creatures that inhabit an imagined world. In this imagined world, some creatures are cruel. If in this imagined world,…
- Question 7 – To construct a wall, sand and cement are mixed in the ratio of 3:1. The cost of sand and that of cement are in the ratio of 1:2. If the total cost of…
- Question 8 – The World Bank has declared that it does not plan to offer new financing to Sri Lanka, which is battling its worst economic crisis in decades, until…
- Question 9 – The coefficient of x4 in the polynomial (x-1)3(x-2)3 is equal to .
- Question 10 – Which one of the following shapes can be used to tile (completely cover by repeating) a flat plane, extending to infinity in all directions, without…
- Question 11 – Which one of the following entropy (S) - temperature (T) diagrams CORRECTLY represents the Carnot cycle abcda shown in the P-V diagram?
- Question 12 – Which one of the following is a dimensionless constant?
- Question 13 – Choose the most appropriate matching. Column 1 Column 2 --- --- (i) PIN diode P. Voltage regulation (ii) Tunnel diode Q. Radio frequency and microwave…
- Question 14 – The atomic number of an atom is 6. What is the spectroscopic notation of its ground state, according to Hund’s rules?
- Question 15 – H is the Hamiltonian and L,L z are orbital angular momentum and its z component. The hydrogen 1s state is an eigenfunction of which set?
- Question 16 – The Hall experiment is carried out with a non-magnetic semiconductor. The current I is along the x-axis and the magnetic field B is along the z-axis.…
- Question 17 – In two-dimensional Cartesian coordinates a rank-two contravariant tensor is T=pmatrix0&1\\1&0pmatrix. The axes rotate anticlockwise by an acute angle…
- Question 18 – A compound consists of three ions X, Y and Z. The Z ions are arranged in an FCC arrangement. The X ions occupy 1 6 of the tetrahedral voids and the Y…
- Question 19 – For a non-magnetic metal, which one of the following graphs best represents the behaviour of C T vs. T2, where C is the heat capacity and T is the…
- Question 20 – For nonrelativistic electrons in a solid, different energy dispersion relations (with effective masses ma∗, mb ∗, and mc∗) are schematically shown in…
- Question 21 – The figure schematically shows the M (magnetization) - H (magnetic field) plots for certain types of materials. Here M and H are plotted in the same…
- Question 22 – Graphene is a two dimensional material, in which carbon atoms are arranged in a honeycomb lattice with lattice constant a. As shown in the figure, a 1…
- Question 23 – A 60Co nucleus emits a β-particle and is converted to 60Ni* with JP= 4+, which in turn decays to the 60Ni ground state with JP= 0+ by emitting two…
- Question 24 – Which one of the following options is CORRECT for the given logic circuit?
- Question 25 – An atom with non-zero magnetic moment has an angular momentum of magnitude √12 ħ. When a beam of such atoms is passed through a Stern- Gerlach…
- Question 26 – A 44 matrix M satisfies M=-M and M4=1. Which is the correct eigenvalue set?
- Question 27 – The Ξ0∗ particle is a member of the Baryon decuplet with isospin state I, I3〉= 1 2 , 1 2〉 and strangeness quantum number −2. In the quark model, which…
- Question 28 – Which of the following is(are) the CORRECT option(s) for the Joule-Thomson effect?
- Question 29 – The deuteron is a bound state of a neutron and a proton. Which of the following statements is(are) CORRECT?
- Question 30 – The Geiger-Muller counter is a device to detect α, β and γ radiations. It is a cylindrical tube filled with monatomic gases like argon, and polyatomic…
- Question 31 – Consider an isolated magnetized sphere of radius R with a uniform magnetization M⃗⃗ along the positive z direction, with the north and south poles of…
- Question 32 – Which of the following options represent(s) linearly independent pair(s) of functions of a real variable x ?
- Question 33 – In the vector model of angular momentum applied to atoms, what is the minimum angle in degrees (in integer) made by the orbital angular momentum…
- Question 34 – For a transistor amplifier, the frequency response is such that the mid band voltage gain is 200. The cutoff frequencies are 20 Hz and 20 kHz. What is…
- Question 35 – An electric field is E= e-r2 r/r. The flux through a sphere of radius 2 centered at the origin is . Find /(2), rounded to two decimal places.
- Question 36 – It is given that the electronic ground state of a diatomic molecule X2 has even parity and the nuclear spin of X is 0. Which one of the following is…
- Question 37 – An input voltage in the form of a square wave of frequency 1 kHz is given to a circuit, which results in the output shown schematically below. Which…
- Question 38 – A harmonic oscillator has =2k BT/ in thermal equilibrium at temperature T. Which is its partition function?
- Question 39 – Match the radiation to its processes. Column 1 Column 2 --- --- (i) Visible light P. Core atomic transitions (ii) X-rays Q. Nuclear transitions (iii)…
- Question 40 – A rod PQ of proper length L lies along the x-axis and moves towards the positive x direction with speed v= 3c 5 with respect to the ground (see…
- Question 41 – A symmetric top has I 1=I 2=2/3, I 3=2 and no applied force. Its angular speed about the 3-axis is 3=1/8 rad/s. With what angular frequency in rad/s…
- Question 42 – A particle moves on a frictionless horizontal (r,) plane under F=-k r/(2r3). For conjugate momenta p r,p , what is dp r/dt?
- Question 43 – U=xy(x2-y2) and V=ax4+by4+cx2y2+k. If U+iV is analytic, find abc.
- Question 44 – Young’s double slit experiment is performed using a beam of C60 (fullerene) molecules, each molecule being made up of 60 carbon atoms. When the slit…
- Question 45 – A neutron beam with a wave vector k⃗ and an energy 20.4 meV diffracts from a crystal with an outgoing wave vector k⃗ ′. One of the diffraction peaks…
- Question 46 – In the first Brillouin zone of a rectangular lattice (lattice constants a= 6 Å and b= 4 Å), three incoming phonons with the same wave vector 〈1.2 Å−1,…
- Question 47 – For ions of mass m, U(r)=-(r/r 0)e-r/r 0. What is the Einstein frequency in Hz?
- Question 48 – In a hadronic interaction, π0’s are produced with different momenta, and they immediately decay into two photons with an opening angle θ between them.…
- Question 49 – A particle has (x,y,z)=Nz e-(x2+y2+z2) with positive alpha. Which are the eigenvalues of L2,L z? Given Y 00=1/4, Y 10=3/(4) and Y 11=3/(8) e i.
- Question 50 – (x)=M for -a<x<a and zero otherwise. Which plot represents the momentum probability density (p) 2?
- Question 51 – A particle occupies a 2D infinite square well 0 x,y L. Its wavefunction vanishes only on y=L/2 apart from the boundaries. If its energy is E, what is…
- Question 52 – Two nonidentical spin-half particles are in . For H=4 S 1 S 2/2, what is the energy expectation?
- Question 53 – A spin-half particle is spin up along x. What is the probability for spin up along an axis in the xy plane at angle theta to x?
- Question 54 – Different spectral lines of the Balmer series (transitions n→2, with n being the principal quantum number) fall one at a time on a Young’s double slit…
- Question 55 – Under parity and time reversal transformations, which of the following statements is(are) TRUE about the electric dipole moment p and the magnetic…
- Question 56 – For f(z)=z2 z/(z-)4, which statements at z= are correct?
- Question 57 – A horizontal disc of radius 2 m rotates anticlockwise at 2 rad/s. Let V be its velocity field and V= V . Which are correct? Cylindrical gradient,…
- Question 58 – A slow moving π− particle is captured by a deuteron (d) and this reaction produces two neutrons (n) in the final state, i.e., π−+ d→n+ n. Neutron and…
- Question 59 – The two source configurations contain q=1 C, isolated or centered inside a neutral conducting shell with R 1=1 m, R 2=2 m. W I= 0 E I2dV/2 and W II= 0…
- Question 60 – In pion nucleon scattering, the pion and nucleon can combine to form a short lived bound state called the Δ particle (π+ N→Δ). The masses of the pion,…
- Question 61 – A vacuum wave propagates along z with B= B 0ei(kz- t) and B 0=10-8 T. Average power P crosses a circle of radius 1 m in the xy plane. With 0=10-11\…
- Question 62 – At rest 241 94Am237 92 U+. The respective rest masses are 224.544, 220.811 and 3.728 GeV/c squared. Find the alpha kinetic energy (source units MeV/c…
- Question 63 – Consider 6 identical, non-interacting, spin 1 2 atoms arranged on a crystal lattice at absolute temperature T. The z-component of the magnetic moment…
- Question 64 – Two identical, non-interacting 4He2 atoms are distributed among 4 different non- degenerate energy levels. The probability that they occupy different…
- Question 65 – 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…