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Test: Solid State Physics - 1 - Question 1

The density of copper (Cu) is 8.90 g/m^{3} with contribution of 1 electron/atom. The plasma frequency of copper is_______x 10^{16} /s. (Given atomic weight = 63.5)(Round off to one decimal place)

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Test: Solid State Physics - 1 - Question 2

Assume that E vs k relationship of e^{-} in conduction band ofliypothetical tetravalent n-type semiconductor can be expressed by

E = ak^{2} + constant

The cyclotron resonance for e^{-} in a field B = 0.1 wb/m^{2} occurs at ω_{e} = 1.8 x 10^{11} rad/s

The value of a =________x 10^{-38} J. m^{2} (Round off to one decimal place)

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Test: Solid State Physics - 1 - Question 3

The maximum wavelength of photon to break a cooper pair in Lead which has energy gap of 2.73 meV is_____________x 10^{5} nm. (Round off to three decimal places)

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Test: Solid State Physics - 1 - Question 4

The lattice constant of unit cell of BCC structure α - Iron is 0.288 nm. The number of atoms/mm^{2} in the plane of (1 0 0) is_____x 10^{12} atom/mm^{2}. (Answer should be an integer)

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Test: Solid State Physics - 1 - Question 5

For a sphere of radius x, polarised along the radius vector such that . The total charge is (Answer should be integer).

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Test: Solid State Physics - 1 - Question 7

Optical excitation of intrinsic Germanium creates an average density of 10^{18} conduction electrons per m^{3} in the material at liquid nitrogen temperature. At this temperature electrons and holes mobilities are equal.

μ = 0.5 x 10^{4}cm^{2} /volts sec and Germanium dielectric constant is 20. The diffusion coefficient for electron is

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Test: Solid State Physics - 1 - Question 9

An ac current of frequency 1 GHz is observed through Josephson junction, the applied dc voltage is

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Test: Solid State Physics - 1 - Question 10

The polarizability 'α' of an e^{-} moving in a circular orbit of radius ‘r’ about charge +e in a field directed at light angle to plane of orbit is

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Test: Solid State Physics - 1 - Question 11

The density of states for electron hi a metal is given by D (E)dE = 13.6x 10^{27} E^{1/2} dE and ρ = 8.5 x 10^{28} /m^{3}. The energy of Fermi level is___________eV. (Round off to three decimal places)

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Test: Solid State Physics - 1 - Question 12

For lead the superconductivity occurs at 7.19 k when there is zero applied magnetic field. When the magnetic field 0.074 T is applied at temperature 2.0 k superconductivity will stop. The magnetic field that should be

applied so that superconductivity will not occur at any temperature is___________x 10^{-3} T. (Answer should

be an integer).

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Test: Solid State Physics - 1 - Question 13

The energy of the conduction band at which the probability of the conduction electrons state will occupied by

election is 90% at T = 800K. is__________(eV). [Given: E_{F} =5.52eV]

(Round off to two decimal places)

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Test: Solid State Physics - 1 - Question 14

Calculate the relative permeability of material having magnetization of 3400 ampere/meter and flux density of 0.0045 wb/m^{2}.

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Test: Solid State Physics - 1 - Question 15

A long thin uniformly magnetized needle of hard steel length 12 cm is suspended by a torsionless suspension and makes free, small angle oscillations about an axis through the center in a honzontal plane in the earth's magnetic field. The period of oscillation is four seconds. The density of magnetization of steel is

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Test: Solid State Physics - 1 - Question 16

The energy of interaction of two atoms at a distane 'r' apait can be written as

where, a, b are constants

If two atoms are pulled apart show that they will separete most easily when

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Test: Solid State Physics - 1 - Question 17

Consider a crystal containing a paramagnetic impurity whose energy level are in a given magnetic field. The specific heat of the crystal at high temperature will vary with

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Test: Solid State Physics - 1 - Question 18

A rough sketch of the absorbtion co-efficient for the EM radiation for a non magnetic pure solid substance. The solid absorb light in infrared (0.15 eV) and then does not absorb until the photon energy is 2.3 eV. The minimum number of atoms per unit cell in the crystal should be

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Test: Solid State Physics - 1 - Question 19

X-rays are reflected from a simple cubic crystal by Bragg reflection. If the density of the crystal is measured with r.m.s. error of 3 parts in 10^{4} and if the angle made by the incident and reflected ray make with the crystal plane is 6° and is measured with an r.m.s. error 3.4 minutes of arc then what is the error in the determination of wavelength.

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Test: Solid State Physics - 1 - Question 20

The basis vectors of a lattice is given by

The volume of the reciprocal lattice are given by

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