iisc.ernet.in Physics GATE Exam Question Paper Model : Indian Institute of Science Bangalore
Name of the University : Indian Institute of Science Bangalore
Degree : Engineering
Exam : GATE Exam
Document Type : Model Question Paper
Name of the Subject : Physics
Website : iisc.ernet.in
Download Sample Question Paper : https://www.pdfquestion.in/uploads/7672-PHGATE2015.pdf
IISC Physics Model Paper
Section – A
Q.1 A satellite is moving in a circular orbit around the Earth. If T, V and E are its average kinetic, average potential and total energies, respectively, then which one of the following options is correct?
Related : Indian Institute of Science Bangalore Biotechnology GATE Exam Question Paper : www.pdfquestion.in/7663.html
Q.2 The Pauli matrices for three spin-½ particles are 1, ? ? 2 , ? ? and 3 ? ? , respectively. The dimension of the Hilbert space required to define an operator 1 2 3 ˆO is __________
Q.3 The mean kinetic energy of a nucleon in a nucleus of atomic weight A varies as An, where n is ______________ (upto two decimal places)
Q.4 Let L and p ? be the angular and linear momentum operators, respectively, for a particle. The commutator [ , ] x y L p gives (A) z ? i ? p (B) 0 (C) x i ? p (D) z i ? p
Q.5 The decay is forbidden, because it violates
(A) momentum and lepton number conservations
(B) baryon and lepton number conservations
(C) angular momentum conservation
(D) lepton number conservation
Q.6 In Bose-Einstein condensates, the particles
(A) have strong interparticle attraction
(B) condense in real space
(C) have overlapping wavefuntions
(D) have large and positive chemical potential
Q.7 Consider a system of N non-interacting spin-½ particles, each having a magnetic moment ? , is in a magnetic field B ? B zˆ.?
If E is the total energy of the system, the number of accessible microstates O is given by
Q.8 For a black body radiation in a cavity, photons are created and annihilated freely as a result of emission and absorption by the walls of the cavity. This is because
(A) the chemical potential of the photons is zero
(B) photons obey Pauli exclusion principle
(C) photons are spin-1 particles
(D) the entropy of the photons is very large
Q.9 In the given circuit, the voltage across the source resistor is 1 V. The drain voltage (in V)is _______
Q.10 A point charge is placed between two semi-infinite conducting plates which are inclined at an angle of 30o with respect to each other. The number of image charges is ______________
Q.11 The lattice parameters a, b, c of an orthorhombic crystal are related by a ? 2b ? 3c . In units of a, the interplanar separation between the (110) planes is __________ (upto three decimal places)
Q.12 In a Hall effect experiment, the Hall voltage for an intrinsic semiconductor is negative. This is because (symbols carry usual meaning)
Q.13 The space between two plates of a capacitor carrying charges +Q and –Q is filled with two different dielectric materials, as shown in the figure. Across the interface of the two dielectric materials, which one of the following statements is correct?
Q.14 The energy dependence of the density of states for a two dimensional non-relativistic electron gas is given by, g ?E? ? CEn , where C is constant. The value of n is ______________
Q.15 Four forces are given below in Cartesian and spherical polar coordinates.
where K is a constant. Identify the correct option.
(A) (iii) and (iv) are conservative but (i) and (ii) are not
(B) (i) and (ii) are conservative but (iii) and (iv) are not
(C) (ii) and (iii) are conservative but (i) and (iv) are not
(D) (i) and (iii) are conservative but (ii) and (iv) are not
Q.16 Consider a system of eight non-interacting, identical quantum particles of spin-3/2 in a one dimensional box of length L. The minimum excitation energy of the system, in units of 2 is ___________
Q.17 The excitation wavelength of laser in a Raman effect experiment is 546 nm. If the Stokes’ line is observed at 552 nm, then the wavenumber of the anti-Stokes’ line (in cm-1) is ___________
Q.18 Which one of the following represents the electron occupancy for a superconductor in its normal and superconducting states?
Q.19 A charge ??q is distributed uniformly over a sphere, with a positive charge q at its center in
(i).Also in (ii), a charge ??q is distributed uniformly over an ellipsoid with a positive charge q at its center. With respect to the origin of the coordinate system, which one of the following statements is correct?
(A) The dipole moment is zero in both (i) and (ii)
(B) The dipole moment is non-zero in (i) but zero in (ii)
(C) The dipole moment is zero in (i) but non-zero in (ii)
(D) The dipole moment is non-zero in both (i) and (ii)
Section – B
Q. 26 – Q. 55 carry two marks each.
Q.26 Consider a system of eight non-interacting, identical quantum particles of spin-3/2 in a one dimensional box of length L. The minimum excitation energy of the system, in units of 2 2 2 2mL ? ? is ___________
Q.27 The excitation wavelength of laser in a Raman effect experiment is 546 nm. If the Stokes’ line is observed at 552 nm, then the wavenumber of the anti-Stokes’ line (in cm-1) is ___________
Q.28 The binding energy per molecule of NaCl (lattice parameter is 0.563 nm) is 7.95 eV. The repulsive term of the potential is of the form 9 K r , where K is a constant. The value of the Madelung constant is ____________ (upto three decimal places)
(Electron charge e =
Q.29 Given that the Fermi energy of gold is 5.54 eV, the number density of electrons is ____________ ?? 10? (upto one decimal place) (Mass of electron = 9.11 ?? 10
Q.30 The band gap of an intrinsic semiconductor is ?? 0.72 and * ?? 6* . At 300 K, the Fermi level with respect to the edge of the valence band (in eV) is at ________ (upto three decimal places)