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# ► JEST 2011 Question Answer ( Joint Entrance Screening Test) From Memory

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1. Resistance QS 1 Mark - A cirular wire of R radius having resistance per unit length p. If a wire of same resistance per unit length is connected between two opposite point A and B of circular wire then what will be the equivalent resistance between thees two point- Ans- 0.9pR

2. Q1) Given wave function psi = exp(-lamda x), then - ^2 is
a) zero
b) 4/lamda^2
c) 2/lamda^2
d) ??

Q2)Which of the following is true for two non commuting operators
a) Both operators have equal eigen values
b)Both may have common eigen vectors
c)Both never have common eigen vectors
d)Both have equal eigen vectors

Q3) Given rest mass of pion0(95Mev) and total energy(100Mev). Calculate the speed of pion.

Q4) Given potential V(x) = (Ax+B/x)-2V0, then eigen energy is ...

Q5) Given entropy S = A(EV)^1/3, then calculate the temperature at A=E=V=1?

Q6) A body is hanged by a non stretchable string which is hanged at ceiling. Another body is hanged by another string which is joined to first body. Then degrees of freedom
a)3
b)5
c)6
d)4

Q7) f(z) = Sqrt(z/sin(z)), at pi function has
a) simple pole
b)simple pole and branch
c)??
d)??

a)Cu+ shows ESR spectra, Cu++ doesn't
b)Cu++ shows ESR and Cu+ doesn't
c) Both Cu+ and Cu++ doesn't show ESR spectra
d) Both shows ESR spectra

Q9) The value of (d/dx - x)(d/dx + x) is

Q10) Poisson's bracket of {x^2+p^2,p} is

Q11) A particle of energy E0 moving in a potential V(x) = Kx^4. If the energy of the particle is perturbed then, dependency of E0 on energy eigenvalue is( Question is not clear but, similar type of problem is given)
a) proportional to E0
b) proportional to E0^-1/2
c)proportional to E0^1/2

Q12)E = E0cos(kx-wt) i- E0sin(kx-wt)j, then electromagnetic wave is
a) Plane polarized
b)Elliptically polarized
c)Circularly polarized
d) Unpolarized

Q13)Given wave vector k= (x^+y^)/2..., amplitude of energy is E0, then magnetic field is....

Q14)Three states of energies 0k beta, 1k beta and 2k beta. In equilibrium, total energy is 1000 k beta, approximate number of particles are
a)1400
b)2400
c) 3200
d)4400

....etc

3. 2 equal charges tied by a string. The tension of the string is T due to repulsive force. If another equal charge is placed at the mid point of them.What will be the tension of the string.

4. 2 equal charges tied by a string. The tension of the string is T due to repulsive force. If another equal charge is placed at the mid point of them.What will be the tension of the string.

5. jest 2011... 3 marks problem....
1.what will be the answer for resistance across the diameter of the circle 0.5,0.6,0.7...
2. what will be the effect on the capacitance of the parallel plate capacitor if one plate is tilted to have minimun distance with other plate of capacitor ...decreases , increases, zero, remains the same..
3. what will be the eigen value for the ket and bra operator problem...(+1,-1);(+2,-2),(plus minus square root of 2)
4.what will be the answer for the electric vector....unpolarized, plane polarised, circular polarized, eliptical polarized...

6. If H|1>=|2> and H|2>=2|1>
What are the eigenvalues of H.

7. I remember only few questions & those too not completely..
1) The operator (d/dx + x)(d/dx - x) is equivalent to
I got the answer as: d2/dx2-x2+1

8. ask me for JEST 2011 question paper,
tvidyasagar83@gmail.com

9. Jest 2011 : A parallel plate capacitor's upper plate is tilted such that the lower edge is at the same postion as before. The capacitance will
a) Increase b) Decrease c) remain same d)...

10. PLS IF SOME ONE HAVE ANY ANSWER FOR JEST 2011 PLS POST

11. Any one have solution of JEST 2011 paper, or let starts to solve paper....

12. jest 2011... only 3 marks questions....
for relativity problem 0.74c is the speed ....
for carbon dating problem 16800 is the answer....
for displacement current problem it is inserted to make total current continous.....
what will be the solution for ...
poison bracket problem..(2x+2 or 0).....
for non commutator problem..i think eigen ket will never be equal...
what will be the answer for...parity conservation problem and for complex analysis problem..
what will be the ratio of Ne to He in the larger partition.....
what will be the answer for ESR spectroscopy problem....what will be the answer for maximum value of angle ...red, green ,yellow or violet........for n two leVEL SYSTEM,THE SYSTEM IN THE EXCITED STATE WILL BE n/2 ,n, 0, 3n/4....
for forced oscillation problem what will be answer...and for two body system what will be the no of independent coordinates 4,5,6.... for entropy problem what will be the temperature...3,1/3,1,ln2

13. red light will be diffracted at maximum angle.....

as temperature tends to infinite no of atoms in excited state is equal to the number 0f atoms in ground state from boltzmann distribution, as N is the total no of atoms...N/2 is the no excited state....am i right?

If H|1>=|2> and H|2>=2|1>
What are the eigenvalues of H....Ans: +-sqrt(2)

14. The answer to H|1>=|2> problem should be +/- sqrt(2) since you shall have to to operate H on both sides to get (H^2)|1>=H|2>=2|1>

Now you get (H^2-2)|1>=0, the eigenvalue to H is indeed +/- sqrt(2)

Also, (d/dx + x)(d/dx -x) is actually d^2/dx^2 - x^2

15. oops, there is a -1 with D^2 - x^2 too.

16. How many marks do you think you will score? For the last two years, a mark of ~40/100 was equivalent to a 99.xx% score?

I think i will score somewhere around 35 marks? ho much do you guys think u will score? we could perhaps set up a distribution graph?

17. How many marks do you think you will score? in the last two years, a score of 40/100 was equivalent to 99.xx%? My score shud be somewhere around the mid-30's. what about u guys?

18. if electromagnetic wave is propagates along z direction..
answer,i think so its circularly polarized light..

19. in parallel plate capacitor question,i think so capacitance increases becz c=epsilon0 A V/d if distance is minimum..ie distance decreases , its from fixed ditance to minimum distance as per question. c increases..

20. hi, any one pls tell me the answer of degrees of freedom question ie how many degrees of freedom in mass.. nd nther que.. greatest average speed of molecule is 1. O2 2.N2 3.CO2 4.NO2.

21. 5 degrees of freedom!!

22. Q3) Given rest mass of pion0(95Mev) and total energy(100Mev). Calculate the speed of pion.

I dont even remember a question like this can any of you tell me hw many marks problem was this

23. 1) Given wave function psi = exp(-lamda x), then -^2 is
a) zero
b) 1/4lamda^2
c) 1/2lamda^2
d) 1/lambda^2

the ans is-(c)1/2lambda^2

2)Given entropy S = A(EV)^1/3, then calculate the temperature at A=E=V=1?

since ds=dE/T so T=dE/ds

ans=3

3)
a)Cu+ shows ESR spectra, Cu++ doesn't
b)Cu++ shows ESR and Cu+ doesn't
c) Both Cu+ and Cu++ doesn't show ESR spectra
d) Both shows ESR spectra

ans (b) cu++ shows but cu+ doesnt
bcoz cu+=1s,2s,2p,3s,3p,4s0,3d10
means no unpaired electrons, and cu++ has 3d9 means it has unp e-

4)Q14)Three states of energies 0k beta, 1k beta and 2k beta. In equilibrium, total energy is 1000 k beta, approximate number of particles are
a)1400
b)2400
c) 3200
d)4400
ans b) 2400 using M.B distbn and sum(NiEi)=E

Q11) A particle of energy E0 moving in a potential V(x) = Kx^4. If the energy of the particle is perturbed then, dependency of E0 on energy eigenvalue is
a)proportional to E0
b) proportional to E0^-1/2
c)proportional to E0^1/2
d) proportional to E0^-4

ans d)E0^-4

6)Q12)E = E0cos(kx-wt) i- E0sin(kx-wt)j, then electromagnetic wave is
a) Plane polarized
b)Elliptically polarized
c)Circularly polarized
d) Unpolarized
ans c) circularly polarized

7)Q13)Given wave vector k= (x^+y^)/2..., amplitude of electric field is E0 in x direction, then magnetic field is....
ans-constt Sin(wt-(x+y)/2)

8)2equal charges tied by a string. The tension of the string is T due to repulsive force. If another equal charge is placed at the mid point of them.What will be the tension of the string.

ans is T+4T=5T

8)Which of the following is not true for two non commuting operators
a) Both operators have equal eigen values
b)Both may have common eigen vectors
c)Both never have common eigen vectors
d)Both have equal eigen vectors

ans d)Both have equal eigen vectors

9)Q9) The value of (d/dx - x)(d/dx + x) is?

ans is d^2/dx^2+1-x^2

10) ifH|1>=|2> and H|2>=2|1>
What are the eigenvalues of H??

ans is -+sqrt(2)

11)f=x^2-y^2+2ixy, g=x^2+y^2-2ixy,
find the analyticity of g and f

ans is f is analytic but g is not.

12) the term having (x-1)^2 term will not have parity conservation

13) at T tends to infinity number of molecules in ground and excited state will be same that is N/2

14)greatest average speed of molecule among
a) O2
b)N2
c)CO2
d)NO2

ans b) N2 bcoz avg v proportional to 1/sqrt(molecular weight)

15) psi(x)= (1-x/L) for -L0
partition function is
exp(ћω/2)/(exp(2ћω)-1) bcoz this is anisotropic harmonic oscillator.

18) if electric force is in equilibrium with gravitational force at a distance d then it will also be in equilibrium at any distance.

19)interionic distance in solid crystal can be measured by XRD.

20) Eigenvalues of anti hermition operator is either pure imagenary or zero.

21) in diff pattern obtained by wedge at maximum angle for maximum wavelength that is red for the current problem.

24. which colour will diffract most by a sharp edge?
a)red
b)green
c)blue
d)yellow

the energy of a 3 dimensional harmonic oscillator is given by (n+3/2h(cut)w).The degeneracy of n is-
a)3n+1/2
b)5n^2+3n+2/2
c)n^2+n+1
d)?

25. 3 marks questions:

1. A wave function is defined as psi= A(1+x/L) for -Lx>0 then waht is incorrect:
a) the probability of finding the particle in -L is zero.
c) Value of A is root of (3/2L)
d) the wave function is stationary.

26. Q)a two level atomic system will have N number of atoms what will be the number of atoms in higher energy level if the temperature is infinite
a)N
b)N/2
c)??
d)??

27. does any one remember the bouncing ball problem?

28. Anonymous15 June, 2011

i think the answer as: d2/dx2 -xd/dx -x2+1

29. Anonymous25 May, 2012

ok try to relax...i have a small question....just when we reverse the clock the universe shrinks and becomes zero size ..at this moment the universe is at a constant temperature and when it inflated there was not enough time. to communicate between the different parts of universe but how did this happen .......(IF IAM NOT CLEAR PLS REFER TO """BRIEF HISTORY OF TIME""" BY STEPHEN HAWKING....CHAP...THE UNIFICATION OF PHYSICS)