Roll No. …………………..

Lingaya’s University

B.Tech 1stYear (Term – III)

End Term Examination – May-June 2012

Applied Physics(PH - 102)

[Time: 3 Hours] [Max. Marks: 100]

Before answering the question, candidate should ensure that they have been supplied the correct and complete question paper. No complaint in this regard, will be entertained after examination.

Note: – Attempt five questions in all. All questions carry equal marks. Question no. 1 (Section A) is compulsory. Select four questions from Section B.

Section – A

Q-1.Part – A

Select the correct answer of the following multiple choice questions: [10×1=10]

(i)Atomic radius of BCC Lattice is

(a) (b)

(c) (d)

(ii)The Miller Indices of plane parallel to x-axis one

(a) (100)(b) (010)

(c) (001)(d) (111)

(iii)In a simple cubic Lattice d100 : d110 : d111 is

(a) 6 : 3 : 2(b) 2 : 3 : 6

(c) (d)

(iv)The phase velocity Vp and graph velocity Vgof de-Broglie wave in free space (speed of light c) are related as

(a) (b)

(c) (d)

(v)The KE of a particle confined in one dimensional box of length “L” is

(a) (b)

(c) (d)

(vi)The drift velocity Vd of electrons in a metal is related to electric field E and collision time τ as

(a) (b)

(c) (d)

(vii)Mobility is related to relaxation time as

(a) (b)

(c) (d)

(viii)Hall angle is expressed as

(a) (b)

(c) (d) None of these

(ix)Unit of Hall co-efficient is

(a) (b)

(c) (d)

(x)The Ratio of specific heats γ for manoatomic gas is equal to

(a)1.22(b) 1.44

(c)1.66(d) 1.88

Q-1.Part – B

(i)Define space Lattice, translation vector and co-ordination number give co-ordination no. of SC, BCC and FCC crystals. [5]

(ii)What do you mean by photoconductivity and derive the expression for current density? [5]

Section – B

Q-2.(a)Derive Bragg’s law for x-ray diffraction by a crystal. [8]

(b)Describe the powder method for the analysis of crystal structure. What are the advantages of this method? [12]

Q-3.(a)Discuss the difficulties with classical physics. [5]

(b)Derive the Plank’s radiation formula. Show that under limiting conditions the Wein’s law and Rayleigh Jean’s law can be derived from Plank’s radiation formula. [15]

Q-4.(a)What do you understand by effective mass of an electron? Prove that effective mass of an electron is given by relation

[10]

(b)What is Hall Effect? Derive the expression for Hall co-efficient, mobility and Hall angle. [10]

Q-5.(a)Show that the energy expression for an electron in one dimensional potential well is given by . [10]

(b)An electron is bound by potential which closely approaches to infinite square well of width 2.5×10-10 m. Calculate the lowest three permissible quantum energies the electron can have. [6]

(c)Calculate the longest wavelength that can be analyzed by rock salt crystal of spacing d = 2.82Å in the first order. [4]

Q-6.(a)State and prove principle of equipartition of energy. [8]

(b)What is Rankine cycle? Describe the processes involved in it. [12]

Q-7.(a)Discuss Langevin’s Theory of Paramagnetism and derive the expression for paramagnetic susceptibility. [15]

(b)Calculate Larmor’s frequency when an external magnetic field of 1 Tesla is applied to the material. [5]

Q-8.(a)Derive London’s Equation and discuss how its solution leads to Meissner effect. [10]

(b)Calculate the number density of electrons. Given the London Penetration depth is 529. [5]

(c)Distinguish between Hard and Soft superconductors? [5]

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