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A lattice has the following primitive vectors . The reciprocal lattice corresponding to the above lattice is
FCC lattice with cube edge of (π/2)
BCC lattice with cube edge of (2π)
BCC lattice with cube edge of (π/2)
FCC lattice with cube edge of (2π)
What should be the clock frequency of a 6-bit A/D converter so that its maximum conversion time is 32 μs
0.5 MHz
1 MHz
4 MHz
2 MHz
The entropy function of a system is given by S
(E) = a E
(E0 -
E) where a and E0 are positiveconstants.
The temperature of the system is
decreases monotonically with energy
increases monotonically with energy
negative for some energies
Zero
Across a first order phase transition, the free energy is
such that the first derivative with respect to temperature is continuous
a discontinuous function of the temperature
proportional to the temperature
a continuous function of the temperature but its first derivative is discontinuous
If Planck's constant were zero, then the total energy contained in a box filled with radiation of all frequencies at temperature T would be ( k is the Boltzmann constant and T is nonzero)
Zero
3/2 k T
k T
Infinite
In the β decay process, the transition 2+ → 3+, is
not allowed both by Fermi and Gamow-Teller selection rule
not allowed by Fermi but allowed by Gamow-Teller selection rule
allowed by Fermi and but not by Gamow-Teller selection rule
allowed both by Fermi and Gamow-Teller selection rule
A spin-half particle is in a linear superposition 0.8|↑〉 + 0.6|↓〉 of its spin-up and spin-downstates.
If |↑〉 and |↓〉 are the eigenstates of σz then what is the expectation value, up to one decimal place, of the operator 10σz + 5σx ? Here, symbols have their usualmeanings.
____________
7.6
4.3
5.4
6.5
The degenerate eigenvalue of the matrix is (your answer should be an integer) _________________
1
5
7
3
The isospin (I) and baryon number
(B) of the up quark is
I=1/2, B=1
I=1, B=1
I=1, B=1/3
I=1/2, B=1/3
The relativistic form of Newton's second law of motion is
F = m√(c2 - v2)/c dv/dt
F = mc2/(c2 - v2) dv/dt
F = mc/√(c2 - v2) dv/dt
F = m (c2 - v2)/c2 dv/dt
The electromagnetic form factor F(q2) of a nucleus is given by, F(q2) = exp[-q2/2Q2] where Q is aconstant.
Given thatwhere ρ(r) is the charge density, the root mean square radius of the nucleus is given by,
1/Q
√2/Q
√3/Q
√6/Q
Consider the wave function Aeikr (r0/r) where ???? is the normalizationconstant.
For r = 2r0, the magnitude of probability current density up to two decimal places, in units of
(A2ћk/m), is
0.30
0.25
0.20
0.35
The number of spectral lines allowed in the spectrum for the 3 2D → 3 2P transition in sodium is ____________
3
2
4
1
There are four energy levels E, 2E, 3E and 4E (where E >0). The canonical partition function of two particles is , if these particles are two identical fermions
e-2 β E - e-4 β E + e-6 β E - e-8 β E
(e-β E + e-2 β E + e-3 β E)2
e-3 β E + e-4 β E + e-5 β E + e-6 β E + e-7 β E
e-2 β E + e-4 β E + e-6 β E + e-8 β E
Consider two small blocks, each of mass M, attached to two identicalsprings.
One of the springs is attached to the wall, as shown in thefigure.
The spring constant of each spring is k. The masses slide along the surface and the friction isnegligible.
The frequency of one of the normal modes of the system is,
√(3 + √2)/2 √k/M
√(3 + √6)/2 √k/M
√(3 + √3)/2 √k/M
√(3 + √5)/2 √k/M
In a normal Zeeman effect experiment, spectral splitting of the line at the wavelength643.
8 nm corresponding to the transition 5 1D2 → 5 1P1 of cadmium atoms is to beobserved.
The spectrometer has a resolution of 0.01 nm. The minimum magnetic field needed to observe this is (me = 9.1 * 10-31 kg, e = 1.6 * 10-19C, c = 3 * 108 m/s)
5.2 T
0.26 T
0.52 T
2.6 T
In a constant magnetic field of 0.6 Tesla along the z direction, find the value of the path integral in the units of (Tesla m2) on a square loop of side length
(1/ √2 )meters.
The normal to the loop makes an angle of 60° to the z-axis, as shown in thefigure.
The answer should be up to two decimalplaces.
____________
0.25
0.55
0.15
0.40
If |4X - 7| = 5 then the values of 2 |X| - |-X| is
2/3, 9
2, 1/3
3/2, 9
1/2, 3
An electron is moving with a velocity of 0.85c in the same direction as that of a moving photon The relative velocity of the electron with respect to photon is
-0.15c
C
0.15c
-c
A voltage regulator has ripple rejection of -50 dB. If input ripple is 1 mV, what is the output ripple voltage in μV? The answer should be up to two decimalplaces.
__________
3.71
3.25
3.57
3.16
1
2
3
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