# Kerala PSC HSST Physics previous solved Paper

Kerala PSC Higher secondary school teacher Physics solved Paper
Category Code: 033/2016
Exam: HSST Physics SR for SC/ST
Date of Test 03-10-2016
Alphacode A
26:-Number of generalized coordinates required to describe the motion of a particle of mass m constrained to move on the surface of a sphere of radius R are
A:-3
B:-1
C:-0
D:-2

27:-The Hamiltonian of a particle in a central potential V(r) is
A:-(p^(2))/(2m)
B:-(p^(2))/(2m) +V(r)
C:-(p^(2))/(2m) -V(r)

28:-Two particles of same mass m are emitted in the same direction with momenta 5mc and 10mc respectively(c is the speed of light). As seen from the slower one, what is the speed of the faster particle?
A:-0.595c
B:-0.425c
C:-0.795c
D:-0.85c

29:-Which of the following has positive intrinsic curvature?
B:-Plane
C:-Sphere
D:-Cylinder

30:-A particle is constrained to move on a plane, where it is attracted towards a fixed point with force is inversely proportional to square of the distance from the point. What is the Lagrangian of the particle in polar coordinates?
A:-(mdotr^(2)+mr^(2)dottheta^(2))/(2) +(k)/(r)
B:-(mdotr^(2))/(2)` +`(k)/(r)`
C:-(mdotr^(2))/(2)` -`(k)/(r)`
D:-(mdotr^(2))/(2)` +`(mr^(2)dottheta^(2))/(2)

31:-The de-Broglie wavelength of an electron accelerated to a potential difference of V volts is
A:-`sqrt((150)/(V))` dotA
B:-`(h)/(sqrt(2mE)` `dotA
C:-`(h)/(sqrt(2mkT)` dotA
D:-`hsqrt((150)/(meV))`dotA

32:-The electron orbit in a ground state hydrogen atom is in circumference equals to
A:-one de-Broglie wave length
B:-Two de-Broglie wave length
C:-Ten de-Broglie wave length
D:-Twelve and half de-Broglie wave length

33:-In case more than one linearly independent wave functions belong to the same energy E, the level is said to be
A:-orthogonal
B:-orthonormal
C:-degenerate
D:-non-degenerate

34:-The particle confined within the potential well displays
A:-discrete series of energy
B:-continuous series of energy
C:-both continuous and discrete series at time
D:-none of the above

35:-If the uncertainty in momentum Δ`p_(x)` is known, then Δ`p_(y)` will be
A:-equal to Δ`p_(x)`
B:-3.33x`10^(-10)` Δ`p_(x)`
C:-0.5x`10^(-10)` Δ`p_(x)`
D:-impossible to say

36:-A golf ball of 46 gm travels at 30 m/s. The wave length associated with it is
A:-4.8x`10^(-34)` m
B:-0.48x`10^(-34)` m
C:-4.8x`10^(-36)` m
D:-0.048x`10^(-34)` m

37:-Since electrons has an intrinsic magnetic dipole moment due to its spin, the electron interacts with the external magnetic field and the operator for this moment is `hatmu` is
A:-`(eh)/(4Pi m)` `hatsigma`B:-`(eh)/(8Pi m)` `hatSigma`` `
C:-`(em)/(4(h/(2Pi))` `hatsigma`
D:-`(em)/(2(h/(2Pi))` `hatsigma`

38:-A wave function is said to be symmetric if the interchange of any pair of particles
A:-changes the sign of ψ
B:-does not change the sign of ψ
C:-change or does not change ψ
D:-none of the above is true

Question39:-The value of [`L_(x)` , `L_(y)` ] is
A:-i(h/2π) L
B:-i(h/2π)`L_(z)`
C:-zero
D:-i`L_(z)`

40:-Find the correct relation
A:-Hψ = i(h/2π) `(dPsi)/dx`
B:-HΨ = i(h/2π) `(dPsi)/dt`
C:-Hψ =((h^2)/(8m)` `d^2/dx^2` +V )ψ
D:-Hψ =(`p^(2) +`V^(2)` )ψ

41:-If a material has a conductivity of 25 S/m and relative permittivity of 80, then at a frequency of 3 GHz the material will acts as
A:-insulator
B:-conductor
C:-perfect dielectric
D:-none of the above

42:-For normal incidence at an air glass interface with refractive index of 1.5 the fraction of energy reflected is given by
A:-0.40
B:-0.2
C:-0.16
D:-0.04

43:-Which of the following current densities J can generate the magnetic vector potential A=y²i+x²j
A:-2(xi+ yj)/μ0
B:--2(i+ j)/μ0
C:--2(i-j)/μ0
D:-2(xi-yj)/μ0

44:- Find out the correct relation between magnetic field B and electric field E, if n is the unit vector along the direction of propagation
A:-B = (n×E)/c
B:-B = c(n×E)
C:-B = c/(n×E)
D:-B = (E×n)/c

45:-Neper/meter is the SI unit of
A:-phase constant
B:-attenuation constant
C:-planck’s constant
D:-skin depth

46:-A system of N non-interacting classical point particles are constrained to move on the two-dimensional surface of a sphere. The internal energy of the system is
A:-`(3)/(2)`N`k_(B)`T
B:-`(1)/(2)`N`k_(B)`T
C:-`(5)/(2)`N`k_(B)`TD:-N`k_(B)`T

47:-The isothermal compressibility of an ideal gas at temperature T and volume V is given by
A:-K=-V`((delP)/(delV))_(T)`
B:-K=V`((delP)/(delV))_(T)`
C:-K=`(1)/(V)``((delV)/(delP))_(T)`
D:-K=-`(1)/(V)` `((delV)/(delP))_(T)`

48:-What is the temperature of an ideal gas of He atoms, if there are 6`xx` `10^(22)` atoms occupying 2 litres at atmospheric pressure?
A:-341K
B:-241K
C:-300K
D:-273K

49:-Consider a photon gas enclosed in a volume V and in equilibrium at temperature T. What is the chemical potential of this gas?
A:-`(3)/(2)` kT
B:-`(3)/(2)` `(kT)/(V)`
C:-0
D:-`(1)/(2)` kT

50:-A white dwarf star is supported against gravity by
A:-Electron degeneracy pressure