GATE 2022 PH – Previous Year Questions with Solutions
All 65 questions of GATE 2022 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 should when to say .
- Question 2 – Two straight lines pass through (0,0), one through (1,3), the other through (1,2). What area lies between them for x in [0,1]?
- Question 3 – If p:q=1:2, q:r=4:3, r:s=4:5, and u is 50% more than s, what is p:u?
- Question 4 – Given the statements: P is the sister of Q. Q is the husband of R. R is the mother of S. T is the husband of P. Based on the above…
- Question 5 – In the following diagram, the point R is the center of the circle. The lines PQ and ZV are tangential to the circle. The relation among the areas of…
- Question 6 – Healthy eating is a critical component of healthy aging. When should one start eating healthy? It turns out that it is never too early. For example,…
- Question 7 – P invests 5000 rupees per month for 6 months; Q invests x rupees per month for 8 months. Profit is proportional to total investment that year. Q…
- Question 8 – The above frequency chart shows the frequency distribution of marks obtained by a set of students in an exam. From the data presented above, which one…
- Question 9 – On the square grid, move from P2 to P5. Each step is two cells along one axis and one along its perpendicular axis. Shaded cells cannot be occupied at…
- Question 10 – Consider a cube made by folding a single sheet of paper of appropriate shape. The interior faces of the cube are all blank. However, the exterior…
- Question 11 – For the shown op-amp circuit, choose the output for V in=1.5(20 t) V and saturation voltages 10 V.
- Question 12 – Match beta-decay order for 1. X(1/2+) Y(1/2+), 2. X(1/2-) Y(5/2+), 3. X(3+) Y(0+), 4. X(4-) Y(0+). Labels i,ii,iii,iv denote first forbidden, second…
- Question 13 – What is the maximum number of free independent real parameters specifying an n-dimensional orthogonal matrix?
- Question 14 – An excited Ca configuration is [Mg]3p54s23d1. Which orbital spectroscopic terms occur?
- Question 15 – A spherical boundary encloses a charge-free region. A quarter has potential 0, another quarter 2 0, and the rest 4 0. Find its central potential.
- Question 16 – A charge q oscillates harmonically with amplitude A and angular frequency omega. What is the Larmor radiation power proportional to?
- Question 17 – Which relation between internal energy U and Helmholtz free energy F is true?
- Question 18 – If nucleons in a nucleus are considered to be confined in a three-dimensional cubical box, then the first four magic numbers are
- Question 19 – y-2xy+4y=0 has solution y=a+bx+cx2. Which relation holds?
- Question 20 – For an Op-Amp based negative feedback, non-inverting amplifier, which of the following statements are true?
- Question 21 – Which pairs of orbital and total angular momentum operators commute?
- Question 22 – For normal Zeeman lines observed ∥ and ⊥ to the magnetic field applied to an atom, which of the following statements are true?
- Question 23 – Which identities hold for Pauli spin matrices?
- Question 24 – For refractive index n()=n r()+in im(), which statements are correct?
- Question 25 – For real a, f(z)=z+ z-a 2 is
- Question 26 – If g(k) is the Fourier transform of f(x), which are true?
- Question 27 – The equation (1-x2)y-xy+9y=0 has a regular singularity at
- Question 28 – For a bipolar junction transistor, which of the following statements are true?
- Question 29 – Potassium has electron concentration 1.41028\ m-3 and Fermi-level density of states 6.21046\ J-1m-3. Express Pauli susceptibility as n10-k in standard…
- Question 30 – A supply has open-load voltage 5 V and internal resistance RS. A load RL receives 4 V. Find RL/RS, nearest integer.
- Question 31 – Electric field is measured along the axis of a uniformly charged disc of radius 25 cm. At a distance d from the centre, the field differs by 10% from…
- Question 32 – A Raman line at 300\ cm-1 has Stokes intensity four times anti-Stokes intensity. Find the temperature in K, nearest integer. Given 1\ cm-1=1.44 K.
- Question 33 – A pulse lasts 10-3 s. Photon momentum uncertainty is of order 10-N kg m/s. Find N, using c=3108 m/s and h=6.610-34 J s.
- Question 34 – In a width-2a infinite well, (x)=2( x/a)+3( x/(2a))+(3 x/(2a))6a. Find probability in n=2 as a percentage, nearest integer.
- Question 35 – A plasma spectrometer covers 31012 to 301012 rad/s. The minimum detectable carrier density is n1021\ m-3. Find n to two decimals using e =1.610-19 C,…
- Question 36 – A noninteracting spin-one gas has moment mu and B/(k BT)1. Find its mean magnetic moment.
- Question 37 – Water at 300 K can be brought to 320 K using one of the following processes. Process 1: Water is brought in equilibrium with a reservoir at 320 K…
- Question 38 – A student sets up Young’s double slit experiment with electrons of momentum p incident normally on the slits of width w separated by distance d. In…
- Question 39 – Consider a particle in three different boxes of width L. The potential inside the boxes vary as shown in figures (i), (ii) and (iii) with V≪ ħమగమ…
- Question 40 – Which is Hermitian in cylindrical coordinates (s,phi,z)?
- Question 41 – A particle of mass 1 kg is released from a height of 1 m above the ground. When it reaches the ground, what is the value of Hamilton’s action for this…
- Question 42 – If x y+ xy is conserved for L=m( x2+ y2)/2-k(x2+y2)/2, find alpha.
- Question 43 – In a two-dimensional square lattice, frequency ω of phonons in the long wavelength limit changes linearly with the wave vector k. Then the density of…
- Question 44 – At T = 0 K, which of the following diagram represents the occupation probability P(E) of energy states of electrons in a BCS type superconductor?
- Question 45 – For the harmonic oscillator a n=n+1 n+1 and x=/(2m)(a+a). Which is the first three rows and columns of x?
- Question 46 – A piston of mass m is fitted to an airtight horizontal cylindrical jar. The cylinder and piston have identical unit area of cross-section. The gas…
- Question 47 – A paramagnet obeys dG=-S\,dT-M\,dH. For an infinitesimal adiabatic field change, which statements hold?
- Question 48 – A mass m is confined to a spherical infinite well of radius a. Which statements about the ground energy E0 and radial wavefunction R(r) are correct?
- Question 49 – A unit-mass particle moves in V(r)=-V 0e-r2 with L=0.5V 0. Which statements are true?
- Question 50 – For molecular mass M, electron mass m, and electronic, rotational, vibrational energies Ee, ER, EV, which scalings hold?
- Question 51 – Electronic heat capacity is C= T, where gamma relates to effective mass. Which statements are correct?
- Question 52 – In a Hall effect experiment on an intrinsic semiconductor, which of the following statements are correct?
- Question 53 – A parallel-plate capacitor of area A and spacing d stays connected to voltage V while pulled quasistatically to 2d. Which statements hold?
- Question 54 – For time-independent H and constants of motion f,g, which Poisson brackets always vanish?
- Question 55 – In action-angle variables, H=4I 1I 2, 0 1, 2<2, and I 1/I 2=1/2. Which plotted trajectories are possible?
- Question 56 – A 2D square well has n xn y=2(n x x/L)(n y y/L)/L. For perturbation V=Cxy, which statements apply to its first excited state?
- Question 57 – A junction is formed between a metal on the left and an n-type semiconductor on the right. Before forming the junction, the Fermi level EF of the…
- Question 58 – At Brewster incidence onto z=0, the reflected field is E R=A R[k 0(3y/2-z/2)- t] x. Which statements hold?
- Question 59 – What is the minimum number of two-input NAND gates for Y=[A B(C+BD)+ A B]C?
- Question 60 – The interaction V so l s creates a p1/2,p3/2 doublet. Find its energy separation in units of V so2/2, nearest integer.
- Question 61 – Two particles of rest mass m 0 approach at velocities 0.5c. One has energy m 0c2 in the other rest frame. Find alpha to two decimals.
- Question 62 – In an X-Ray diffraction experiment on a solid with FCC structure, five diffraction peaks corresponding to (111), (200), (220), (311) and (222) planes…
- Question 63 – One mole of nitrogen is (I) cooled at 1 atm from 300 to 77 K, and (II) liquefied at 77 K. Find entropy-change ratio I/II to one decimal, using Cp=7…
- Question 64 – A gas laser has bandwidth =(2/c)/A with =3.44106 square meters per square second and atomic mass number A. For a helium-4/neon-20 laser at 633 nm,…
- Question 65 – A current of 1 A is flowing through a very long solenoid made of winding density 3000 turns/m. As shown in the figure, a parallel plate capacitor,…