JEST Exam Last Year Paper

Will you please provide me question paper for Joint Entrance Screening Test in a PDF file format soon ?

[Quick Sam]

Here I am giving you question paper for Joint Entrance Screening Test in a PDF file attached with it so you can get it easily.


1. If Jx; Jy; Jz are angular momentum operators, the eigenvalues of the operator (Jx + Jy)=_h are
a) real and discrete with rational spacing
b) real and discrete with irrational spacing
c) real and continuous
d) not all real
2. Compute
lim
z!0
Re(z2) + Im(z2)
z2 :
a) The limit does not exist.
b) 1
c) _i
d) _1

ing the total charge. The correct ratio of the electrostatic energies for the second case to the _rst case is
a) 1:3
b) 9:16
c) 3:8
d) 5:6

5. A quantum mechanical particle in a harmonic oscillator potential has the initial wavefunction
0(x) + 1(x); where 0 and 1 are the real wavefunctions in the ground and _rst excited states
of the harmonic oscillator Hamiltonian. For convenience we take m = _h = ! = 1 for the oscillator.
What is the probability density of _nding the particle at x at time t = _?
1
a) ( 1(x) _ 0(x))2
b) ( 1(x))2 _ ( 0(x))2
c) ( 1(x) + 0(x))2
d) _ 1(x))2 + ( 0(x)_2

6. A K meson (with a rest mass of 494 MeV) at rest decays into a muon (with a rest mass of 106 MeV)
and a neutrino. The energy of the neutrino, which can be taken to be massless, is approximately
a) 120 MeV
b) 236 MeV
c) 300 MeV
d) 388 MeV

7. There are on average 20 buses per hour at a point, but at random times. The probability that there
are no buses in _ve minutes is closest to
a) 0.07
b) 0.60
c) 0.36
d) 0.19

8. Two drunks start out together at the origin, each having equal probability of making a step simulta-
neously to the left or right along the x axis. The probability that they meet after n steps is

9. If, in a Kepler potential, the pericentre distance of a particle in a parabolic orbit is rp while the radius
of the circular orbit with the same angular momentum is rc, then
a) rc = 2rp
b) rc = rp
c) 2rc = rp
d) rc = p2rp

10. Under a Galilean transformation, the coordinates and momenta of any particle/system transform as:
t0 = t, ~r0 = ~r + ~vt and ~p0 = ~p + m~v, where ~v is the velocity of the boosted frame with respect to the
original frame. A unitary operator carrying out these transformations for a system having total mass
M, total momentum ~P and center of mass coordinate ~X is
2
JEST Exam Last Year Paper