sssihl.edu.in Postgraduate Admission Test M.Sc. Physics Model Question Paper : Sri Sathya Sai Institute of Higher Learning

Name of the Organisation : Sri Sathya Sai Institute of Higher Learning
Exam : SSSIHL Postgraduate Programme Admission Test
Degree : Postgraduate Programme
Subject : M.Sc. Physics
Document Type : Model Question Paper
Website : https://www.sssihl.edu.in/
Download Model Question Paper : https://www.pdfquestion.in/uploads/25137-PGPhysics.pdf

SSSIHL Admission Test M.Sc. Physics Question Paper

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Important Instructions

** SHADE the correct Response viz., A, B, C, D or E in the RESPONSE SHEET. Each Question carry ONE mark.
1) Please write/shade Question Paper Code in the box provided in the Essay Sheet and in the Response Sheet.
2) Please do not write on the Question Paper booklet. Blank sheets will be provided on request for rough work.
3) Please NOTE that an incorrect response will attract negative marking.

Sample Questions

Time: 2 Hours
Max. Marks : 75

Section A

25 marks – 25 questions :
1. If the Cartesian coordinates (x, y, z) of a point are (4, 3, 1), its cylindrical polar coordinates (?, ?, z) will be
A) (5, 36.9?, 1)
B) (5, 53.1?, 1)
C) (4, 3, 1)
D) (?7, 36.9?,1)

2. The eigen values of the matrix are ( )
A) 0,1
B) +1, –1
C) +i, –i
D) 1, i

3. {f(t – A) } = ei?a F(?) is called the ––––– property of the Fourier transformation ( )
A) Attenuation
B) time Shifting
C) Convolution
D) Parseval

4. In emitter bias configuration for a transistor, V = 5V, V = 15V, R = 1k and R = 2k The collector-emitter voltage V is ( )
A) 2.1V
B) 4.3V
C) 6.4V
D) 8.6V

5. Consider the following: Reaction: HCl(aq) + NaOH(aq) ? H2O(1) + NaCl (aq) The rate of this reaction could be determined by monitoring the change of concentration of:
A) H +
B) Cl –
C) Na +
D) H2O

6. Which of the following gives the value stored at the address pointed to by pointer a? ( )
A) a;
B) val(a);
C) *a;
D) &a;

Section B

50 Marks – 50 Questions Sample Questions :
1. A particle of mass 100 gm moves on the x-axis under the force field whose potential energy is ?? = (??-3)23 . The points of stable equilibrium occur at
A) x = 3,
B) x = 1
C) x = 1 and 3
D) does not exist

2. Part of the equation of a plane EM wave travelling in the negative Y direction can be ( )
A) E=Acos(wt-ky)
B) E=Acos(wt-ky)
C) E=Acos(wt+ky)
D) E=Acos(wt+ky)
E) E=Acos(ky -wt)

6. The electric field in a certain region is given by , where A= 10Nm-2/C and the potential at the origin of the coordinates is 20 Volts. What will be the potential at a point x=2, y= 1, z=1? ( all coordinates are in meters)
A) 10 Volts
B) -30 Volts
C) 30 Volts
D) -10 Volts
E) 0 volts

7. A mathematical approach to the first law of thermo dynamics produced which equation? ( )
A) W + Q = U
B) Q = U + W
C) U = Q – W
D) all the above
E) None of the above

8. A nucleus ZXA has mass M kg. If Mp and Mn denote the mass (in kg) of proton and neutron respectively, the binding energy in joule is ( )
A) [ZMp + (A – Z)Mn – M]c2
B) [ZMp + ZMn – M]c2
C) M – ZMp – (A – Z)Mn
D) [M– ZMp – (A – Z)Mn]c2
E) A[Mp + Mn]c2

9. The eigen values of the operator L z are ( )
A) 2 1
B) 1
C) m
D) m 2
E) Zero

10. A mass M moves with speed V in the x-direction. It explodes into two pieces that go off at angles ?1, ?2 as shown in figure. What are the magnitudes of the momenta of the two pieces?

Syllabus

Section A: Mathematics, Electronics, Chemistry & Computer Science (25 marks)
Section B: Physics (50 marks)

Section A :
Mathematics :
Calculus of single and multiple variables, partial derivatives, Matrices and determinants, Algebra of complex numbers; Taylor expansion, Fourier series; Vector algebra, Vector Calculus, Multiple integrals, Divergence theorem, Green’s theorem, Stokes’ theorem. First order equations and linear second order differential equations with constant coefficients.

Integral Calculus :
Integration as the inverse process of differentiation, definite integrals and their properties, Fundamental theorem of integral calculus. Double and triple integrals, change of order of integration. Calculating surface areas and volumes using double integrals and applications. Calculating volumes using triple integrals and applications. Vector Calculus: Scalar and vector fields, gradient, divergence, curl and Laplacian. Scalar line integrals and vector line integrals, scalar surface integrals and vector surface integrals, Green’s, Stokes and Gauss theorems and their applications.

Linear Algebra :
Vector spaces, Linear dependence of vectors, basis, dimension, linear transformations, matrix representation with respect to an ordered basis, Range space and null space, ranknullity theorem; Rank and inverse of a matrix, determinant, solutions of systems of linear equations, consistency conditions. Eigenvalues and eigenvectors. Cayley-Hamilton theorem. Symmetric, skewsymmetric, hermitian, skewhermitian, orthogonal and unitary matrices.

Section B :
Physics :
Mechanics and General Properties of Matter :
Newton’s laws of motion and applications, Velocity and acceleration in Cartesian, polar and cylindrical coordinate systems, uniformly rotating frame, centrifugal and Coriolis forces, Motion under a central force, Kepler’s laws,

Electricity and Magnetism :
Coulomb’s law, Gauss’s law. Electric field and potential. Electrostatic boundary conditions, Solution of Laplace’s equation for simple cases. Conductors, capacitors, dielectrics, dielectric polarization, volume and surface charges, electrostatic energy. Biot- Savart law, Ampere’s law, Faraday’s law of electromagnetic induction.