TS SET 2013: Paper III, Physical Sciences
Text of page 1
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
SUBJECT CODE SUBJECT PAPER
A-16-03 PHYSICAL SCIENCES III
HALL TICKET NUMBER QUESTION BOOKLET
NUMBER
OMR SHEET NUMBER
DURATION MAXIMUM MARKS NUMBER OF PAGES NUMBER OF QUESTIONS
2 HOUR 30 MINUTES 150 16 75
This is to certify that, the entries made in the above portion are correctly written and verified.
Candidates Signature Name and Signature of Invigilator
Instructions for the Candidates A¿æýÅÆæÿ$¦ËMæü$ çÜ*^èþ¯èþË$
1. Write your Hall Ticket Number in the space provided on the top 1. D ç³#r ò³O ¿êVæü ÌZ CÐèþÓºyìþ¯èþ çÜ¦Ë ÌZ Ò$ çàÌý sìýMðüsý ¯èþ ºÆæÿ$ Æ>Äæý$ yìþ.
of this page.
2. D {ç³Ôèý² ç³{èþÐèþ$$ yðþ¿ñýOI§æþ$ ºçßý$âñýO_eMæü {ç³Ôèý²Ë¯èþ$ MæüÍW E ¨.
2. This paper consists of seventy five multiple-choice type of
questions. 3. ç³Èæü {´ëÆæÿ ¿æýÐèþ$$¯èþ D {ç³Ôé²ç³{èþÐèþ$$ Ò$Mæü$ CÐèþÓºyæþ$èþ$ ¨. Ððþ$$§æþsìý I§æþ$
3. At the commencement of examination, the question booklet will °Ñ$çÙÐèþ$$ËÌZ D {ç³Ôé²ç³{èþÐèþ$$¯èþ$ ðþÇ_ Mìü §æþ ðþÍí³¯èþ A Ôé˯èþ$ èþç³µ°çÜÇV>
be given to you. In the first 5 minutes, you are requested to open çÜÇ^èþ*çÜ$Mø yìþ.
the booklet and compulsorily examine it as below : (i) D {ç³Ôèý² ç³{èþÐèþ$$¯èþ$ ^èþ*yæþyé°Mìü MæüÐèþÆÿõ³h A ^èþ$¯èþ E¯èþ² M>Wèþç³# ïÜË$¯èþ$
(i) To have access to the Question Booklet, tear off the paper _ ^èþ yìþ. íÜtMæüPÆÿ ïÜË$Ìôý° Ðèþ$ÇÄæý$$ C¨ÐèþÆæÿMóü ðþÇ_ E¯èþ² {ç³Ôé²ç³{èþÐèþ$$¯èþ$
seal on the edge of this cover page. Do not accept a booklet Ò$Ææÿ$ A XMæüÇ ^èþÐèþ§æþ$ª.
without sticker-seal and do not accept an open booklet.
(ii) Tally the number of pages and number of questions in (ii) MæüÐèþÆæÿ$ õ³h ò³O Ðèþ$${¨ _¯èþ çÜÐèþ*^éÆæÿ {ç³M>Ææÿ D {ç³Ôèý²ç³{èþÐèþ$$ÌZ° õ³iË
the booklet with the information printed on the cover çÜ Qůèþ$ Ðèþ$ÇÄæý$$ {ç³Ôèý²Ë çÜ Qůèþ$ çÜÇ^èþ*çÜ$Mø yìþ. õ³iË çÜ QÅMæü$
page. Faulty booklets due to pages/questions missing çÜ º «¨ _ V>± Ìôý§é çÜ*_ _¯èþ çÜ QÅÌZ {ç³Ôèý²Ë$ ÌôýMæü´ùÐèþ#r Ìôý§é °f{ç³
or duplicate or not in serial order or any other M>Mæü´ùÐèþ#r Ìôý§é {ç³Ôèý²Ë$ {MæüÐèþ$糧æþ®ÌZ ÌôýMæü´ùÐèþ#r Ìôý§é HÐðþO¯é óþyéË$ yæþ$r
discrepancy should be got replaced immediately by a Ðèþ sìý §øçÙç³NÇèþÐðþ$O¯èþ {ç³Ôèý² ç³{é°² Ððþ r¯óþ Ððþ$$§æþsìý I§æþ$ °Ñ$ÚëÌZÏ ç³È>
correct booklet from the invigilator within the period ç³ÆæÿÅÐóþæüMæü$°Mìü ÇW C_aÐóþíÜ §é°Mìü º§æþ$Ë$V> çÜÇV>Y E¯èþ² {ç³Ôèý²ç³{é°² ¡çÜ$Mø yìþ.
of 5 minutes. Afterwards, neither the Question Booklet
will be replaced nor any extra time will be given.
èþ§æþ¯èþ èþÆæÿ {ç³Ôèý²ç³{èþÐèþ$$ Ðèþ*Ææÿaºyæþ§æþ$ A§æþ¯èþç³# çÜÐèþ$Äæý$ CÐèþÓºyæþ§æþ$.
(iii) After this verification is over, the Test Booklet Number (iii) ò³O Ñ«§æþ V> çÜÇ^èþ*çÜ$Mö¯èþ² èþÆ>Óèþ {ç³Ôé²ç³{èþ çÜ Qůèþ$ OMR ç³{èþÐèþ$$ ò³O
should be entered in the OMR Sheet and the OMR Sheet A§óþÑ«§æþ V> OMR ç³{èþÐèþ$$ çÜ Qůèþ$ D {ç³Ôé²ç³{èþÐèþ$$ ò³O °ÇªçÙtt çÜ¦Ë ÌZ Æ>Äæý$ÐèþÌñý¯èþ$.
Number should be entered on this Test Booklet. 4. {ç³ {ç³Ôèý²Mæü$ ¯éË$Væü$ {ç³éÅÐèþ*²Äæý$ {ç³çܵ §æþ¯èþË$ (A), (B), (C) Ðèþ$ÇÄæý$$ (D)
4. Each item has four alternative responses marked (A), (B), (C) Ë$V> CÐèþÓºyézÆÿ$$. {ç³{ç³Ôèý²Mæü$ çÜÆðÿO¯èþ {ç³çܵ §æþ¯èþ¯èþ$ G¯èþ$²Mö° Mìü §æþ ðþÍí³¯èþ Ñ«§æþ V>
and (D). You have to darken the circle as indicated below on the OMR ç³{èþÐèþ$$ÌZ {ç³ {ç³Ôé² çÜ QÅMæü$ CÐèþÓºyìþ¯èþ ¯éË$Væü$ Ðèþé¢ÌZÏ çÜÆðÿO¯èþ
correct response against each item. {ç³çܵ §æþ¯èþ¯èþ$ çÜ*_ ^óþ Ðèþ颰² »êÌý ´ëÆÿ$$ sý ò³¯þø Mìü §æþ ðþÍí³¯èþ Ñ«§æþ V>
Example : A B C D ç³NÇ ^éÍ.
where (C) is the correct response. E§éçßýÆæÿ×ý : A B C D
5. Your responses to the items are to be indicated in theOMR Answer (C) ç
Ü Æð ÿ O ¯ è þ {ç ³ ç Ü µ §æ þ ¯è þ AÆÿ$$ó þ
Sheet given to you. If you mark at any place other than in the 5. {ç³Ôèý²ËMæü$ {ç³çܵ §æþ¯èþ˯èþ$ D {ç³Ôèý²ç³{èþÐèþ$$ø CÐèþÓºyìþ¯èþ OMR ç³{èþÐèþ$$ ò³O¯èþ
circle in the Answer Sheet, it will not be evaluated. CÐèþÓºyìþ¯èþ Ðèþé¢ÌZϯóþ ç³NÇ _ Væü$Ç¢ ^éÍ. AÌêM>Mæü çÜÐèþ*«§é¯èþ ç³{èþ ò³O ÐóþÆöMæü ^ør
6. Read instructions given inside carefully. Væü$Ç¢õÜ¢ Ò$ {ç³çܵ §æþ¯èþ Ðèþ$*ÌêÅ Mæü¯èþ ^óþÄæý$ºyæþ§æþ$.
7. Rough Work is to be done in the end of this booklet. 6. {ç³Ôèý² ç³{èþÐèþ$$ ÌZç³Ë C_a¯èþ çÜ*^èþ¯èþ˯èþ$ gê{Væüèþ¢V> ^èþ§æþÐèþ yìþ.
8. If you write your name or put any mark on any part of the OMR
Answer Sheet, except for the space allotted for the relevant 7. _èþ$¢ç³°° {ç³Ôèý²ç³{èþÐèþ$$ _ÐèþÆæÿ C_a¯èþ RêäçܦËÐèþ$$ÌZ ^óþÄæý*Í.
entries, which may disclose your identity, you will render yourself 8. OMR ç³{èþÐèþ$$ ò³O °È~èþ çÜ¦Ë ÌZ çÜ*_ ^èþÐèþËíܯèþ ÑÐèþÆ>Ë$ èþí³µ _ CèþÆæÿ çÜ¦Ë ÌZ
liable to disqualification. Ò$ Væü$Ç¢ ç³#¯èþ$ ðþÍõ³ Ñ«§æþ V> Ò$ õ³Ææÿ$ Æ>Äæý$yæþ V>± Ìôý§é CèþÆæÿ _à²Ë¯èþ$ ò³rtyæþ
9. The candidate must handover the OMR Answer Sheet to the V>± ^óþíܯèþrÏÆÿ$$óþ Ò$ A¯èþÆæÿáèþMæü$ Ò$Æóÿ »ê«§æþ$ÅËÐèþ#éÆæÿ$.
invigilators at the end of the examination compulsorily and 9. ç³Èæü ç³NÆæÿ¢Æÿ$$¯èþ èþÆ>Óèþ Ò$ OMR ç³{é°² èþç³µ°çÜÇV> ç³Èæü ç³ÆæÿÅÐóþæüMæü$yìþMìü CÐéÓÍ.
must not carry it with you outside the Examination Hall. The Ðésìý° ç³Èæü Væü¨ ºÄæý$rMæü$ ¡çÜ$Mæü$ÐðþâæýÏMæü*yæþ§æþ$. ç³Èæü ç³NÆæÿ¢Æÿ$$¯èþ èþÆæÿ$Ðéèþ A¿æýÅÆæÿ$¦Ë$
candidate is allowed to take away the carbon copy of OMR
{ç³Ôèý² ç³{é°², OMR ç³{èþ Äñý$$MæüP M>Ææÿ¾¯þ M>ï³° ¡çÜ$Mæü$ÐðþâæýÏÐèþ^èþ$a.
Sheet and used Question paper booklet at the end of the
examination. 10. ±Í/¯èþËÏ Ææÿ Væü$ »êÌý ´ëÆÿ$$ sý ò³¯þ Ðèþ*{èþÐóþ$ Eç³Äñý*W ^éÍ.
10. Use only Blue/Black Ball point pen. 11. ÌêVæüÇ£æþÐþ$ sôýº$ÌýÞ, M>ÅÍMæü$ÅÌôýrÆÿË$, GË[M>t°Mü ç³ÇMæüÆ>Ë$ Ððþ$$§æþËVæü$¯èþÑ ç³ÈæüVæü¨ÌZ
11. Use of any calculator or log table etc., is prohibited. Eç³Äñý*W ^èþyæþ °õÙ«§æþ .
12. There is no negative marks for incorrect answers. 12. èþç³ çÜÐèþ*«§é¯éËMæü$ Ðèþ*Ææÿ$PË èþWY ç³# Ìôý§æþ$.
III 1 A-16 -03
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
Text of page 2
*A1603*
HE
RE
WR
ITE
NO
T
DO
III 2 A-16-03
Text of page 3
*A1603*
PHYSICAL SCIENCES
Paper – III
1. If L{y(x)}=f(x) for a a ≤ x ≤ b, where
3. The general solution of a Laplace
d ⎛ d ⎞
L= ⎜ p ⎟ − q and for some t in [a, b],
dx ⎝ dx ⎠ equation for steady state temperature
G(x,t) is Green’s function for this differential
equation, then distribution u(r, θ ) within a circular disc is
i) L{G(x,t)} = 0
given by u(r, θ ) =
ii) G(x,t) = G(t,x)
dG (x, t) dG (x, t ) −1 (A) ∑ anr 2n +1 sin θ
iii) − =
dx x = t + dx x = t − p(t)
(B) ∑ anr − n. sin nθ
(A) i) is true
(B) i) , ii) are true (C) ∑ anr − 2n sin θ
(C) All are true
(D) ii), iii) are true (D) ∑ a nr n sin nθ
2. The Green’s function for the differential
4. The general solution of wave equation for
equation y′′ (x ) – y(x) = 0 with y(0) = y(1) = 0
is given by sinh1.G(x,t) =
a vibrating string y(x,t) travelling with
⎧sinh x sinh (t − 1) if x < t
(A) ⎨ speed c is given by y(x,t)=
⎩sinh t. sinh ( x − 1) if x > t
⎧sinh x cosh (t − 1) if x < t (A) ∑ a n sin nx . sin nt
(B) ⎨
⎩sinh t. cosh ( x − 1) if x > t
(B) ∑ an sin nx. ent
⎧cosh x sinh (t − 1) if x < t
(C) ⎨
⎩cosh t. sinh ( x − 1) if x > t
(C) ∑ an enx . sin nt
⎧cosh x cosh (t − 1) if x < t
(D) ⎨
⎩cosh t. cosh (x − 1) if x > t (D) ∑ a nenx .ent
III 3 A-16-03
Text of page 4
*A1603*
6. Assertion A: Euler’s formula for
5. Match the following for interpolating estimating y at x = xn+1 from the differential
polynomials (IP) y(x) equation y′ (x) = f(x,y) with y(x0) = y0 is
given by yn+1 = yn + h f(xn, yn)
Column I Column II
I. Newton’s forward IP 1. Estimates Reason R: Since this formula has no
second order terms, it is a very crude
value of y for
estimation.
p in between
(A) Both A and R correct
¼ and ¾.
II. Lagrange’s IP 2. Estimates (B) A is correct but R is not correct
explanation
value of y for
x near to (C) A is wrong, R is correct
first point of (D) Both A and R are wrong
the data
7. Choose the correct statement.
III. Stirling’s IP 3. Estimates
value of y Simpson’s 1/3rd formula
unequally i) is derived from Newton codes
spaced data quadrature formula for n = 2
IV. Bessel’s IP 4. Estimates ii) estimates area of a curve by parabolas
value of y for iii) divides the given interval into odd
x near to mid number of equi-spaced intervals.
point of the
(A) All are true
data
(B) i), ii) are true
Choose correct matching among A, B, C, D (C) ii), iii) are true
for the row I, II, III, IV given below. (D) i), iii) are true
8. If A is a vector with covariant components
I II III IV
Ai, curl(Ai) =
(A) 2 1 4 3 (A) Ai gij – Aj gij
(B) 3 2 4 1 (B) ½ (Ai – Aj) gij
(C) 2 3 4 1 (C) Ai,j – Aj,i
(D) 3 4 1 2 (D) Ai,j gij – Aj,i gij
III 4 A-16-03
Text of page 5
*A1603*
9. SU(2) is defined as a vector space with 12. If the transformation from (q k, p k ) to
elements : (Q k, P k ) is canonical, then the bilinear
form ∑ ( δpk dqk − δqk dp k ) is
⎧⎪⎡a b ⎤ 2 2
⎫⎪ (A) Exact (B) =1
(A) ⎨⎢ ⎥ : a, b εC, a + b ≠ 1⎬
⎪⎩⎣b a ⎦ ⎪⎭ (C) invariant (D) = 0
13. If F and G are functions of qk, pk , then
⎧⎪⎡a b⎤ 2 2
⎫⎪
(B) ⎨⎢ ⎥ : a, b εC, a + b = 0 ⎬ Poisson’s bracket of F, G is defined as
⎪⎩⎣b −a ⎦ ⎪⎭ [F,G] =
⎧ ⎡a b⎤ ⎫ ∂F ∂F ∂G ∂G
(C) ⎨⎢ ⎥ : a, b εC, a 2 + b 2 = 1⎬ (A) ∑( − )
⎩⎣b −a ⎦ ⎭ ∂qk ∂pk ∂qk ∂pk
⎧⎪⎡a − b ⎤ ⎫⎪ ∂F ∂G ∂F ∂G
(D) ⎨⎢
2 2
⎥ : a, b εC, a + b = 1⎬ (B) ∑( − )
⎪⎩⎣b a ⎦ ⎪⎭ ∂qk ∂pk ∂pk ∂qk
10. If f(x,y) is to be transformed to F(u,y), then ∂F ∂G ∂F ∂G
the necessary relations for Lagrangian (C) ∑( − )
∂qk ∂qk ∂pk ∂pk
transformations from (x,y) to (u,v) are:
∂F ∂F ∂F ∂G ∂F ∂G
(A) x = − ,v = (D) ∑( + )
∂u ∂y ∂qk ∂pk ∂pk ∂qk
∂F ∂F 14. Match the following:
(B) v = − ,x=
Column I Column II
∂u ∂y
I. [F,G] 1. 0
∂F ∂F
(C) x = − ,v = II. [F, qi] 2. – [G, F]
∂y ∂u
∂F
∂F ∂F III. [q , p ] 3. −
k k ∂pi
(D) x = ,v =
∂y ∂u IV. [qi, qk] 4. 1
11. The canonical transformation obtained
Choose correct matching among A, B, C, D
from the generating function f = ∑ qi p is i
for the row I, II, III, IV given below :
————— transform. I II III IV
(A) Dual (A) 4 3 2 1
(B) Identity (B) 3 4 1 2
(C) 2 3 4 1
(C) Skew-symmetric
(D) 2 4 1 3
(D) Equivalent
III 5 A-16-03
Text of page 6
*A1603*
15. If J = J1i + J2j + J3k is angular momentum 19. Assertion A: Interference and cross talk
vector and P = p1i + p2j + p3k is momentum are the result of undesired signal coupling
vector then [J1, p2] = between circuits.
(A) J3 (B) p3 Reason R: The parameter of interest is
the ratio of voltage generated in one circuit
(C) 0 (D) J1p2
to the rate of change of current in another.
16. Assertion A: In Galilean transformation (A) A and R are true and R is the correct
acceleration of a particle observed by an explanation
observer in two different frames is same. (B) A and R are true and R is not the
correct explanation
Reason R: Newton’s laws of motion are
(C) A is true but R is not the correct
valid in Galilean transformation.
explanation
(A) A and R are true
(D) Both A and R are false
(B) A is true, R is false
20. The product of impedance of a line when it
(C) A is false, R is true is open circuited and when it is short
(D) A and R are false circuited equal to
(A) characteristic impedance Z of the line
0
17. The number of fundamental postulates in
(B) square of characteristic impedance Z0
the special theory of relativity are
of the line
(A) 2 (B) 3
(C) square root of characteristic
(C) 4 (D) 5
impedance Z0 of the line
18. Galilean transformation does not satisfy (D) inverse of characteristic impedance Z0
the law of the line
(A) Newton’s laws
21. In the case of transmission line which is
(B) Distance between two points is
perfectly matched to the load, the reflection
constant co-efficient and VSWR are respectively
(C) Propagation of electro magnetic
(A) < 0, 1 (B) 0, < 1
waves
(C) 0, 1 (D) > 0, < 1
(D) Existence of universal time
III 6 A-16-03
Text of page 7
*A1603*
22. When a plane electromagnetic wave is 24. For the same VSWR, comparing single
incident normally on the boundary and double λ 4 transformers
between two media with intrinsic (A) The single λ 4 transformer has
impedances Z1 and Z2 , then the reflection greater bandwidth
and transmission co-efficients are (B) The double λ 4 transformer has
greater bandwidth
respectively
(C) Both possess the same bandwidth
2Z2 Z − Z1 (D) None of the above
(A) , 2
Z1 + Z 2 Z 2 + Z1 25. Assertion A : Even though Dielectrics are
good insulators for dc, there can be an
Z 2 − Z1 Z2
(B) , appreciable ac current in phase with
Z 2 + Z1 Z1 + Z 2 applied field because of dielectric
hysteresis.
Z 2 − Z1 2Z 2
(C) , Reason R: Dielectric heating makes the
Z 2 + Z1 Z1 + Z 2 moulding of plastics and heating of food
in microwave ovens possible.
2Z 2 Z +Z
(D) , 1 2 (A) A and R are true and R is the correct
Z1 − Z 2 Z1 − Z2 application
(B) A and R are true and R the incorrect
23. Assertion A : The most common co-axial application
cable impedances employed are 50 Ω (C) A only is true but R is incorrect
application
and 75 Ω .
(D) Both A and R are false
Reason R: The theoretical impedance
for maximum attenuation is close to 30 Ω 26. The cut off wavelength for a circular wave
guide of diameter d is given by
and the best impedance for maximum
(A) π d (B) π √d
power handling capacity is close to 77 Ω and
(C) d √ π (D) √( π d)
their average is 53.5 Ω , rounded off to
50 Ω . 27. Thermodynamic I order phase transitions
(A) A and R are true and R is the correct take place at
explanation (A) Constant temperature and variable
(B) A and R are true and R is not the pressure
correct explanation (B) Constant pressure and variable
(C) A is true but R is not the correct temperature
explanation (C) Constant temperature and pressure
(D) Both A and R are false (D) Variable pressure and temperature
III 7 A-16-03
Text of page 8
*A1603*
28. Choose the wrong statement. 32. During Gibb’s function I order phase
transition
A given block of ferromagnetic materials
has (A) Derivative with respect to temperature
(A) Single domain is continuous at transition point
(B) Maintains ferromagnetic property if the (B) Derivative with respect to pressure
temperature is less than T
c continuous
(C) Iron has ferromagnetic property
(C) Derivative with respect to temperature
(D) Second order phase transition when
and pressure is discontinuous
it is converted in to paramagnetic
phase at curie temperature (D) Is not constant in both the phases
29. During II order phase transitions 33. Choose the wrong statement.
(A) There is transference of heat Ising model of ferromagnetism
(B) There is change of volume
(C) There is change of entropy (A) Is a mathematical model of
(D) There is no change of entropy ferromagnetism in statistical
mechanics
30. Select the wrong statement connected
with diamagnetic material (B) The model consists of discrete
variables that represent magnetic
(A) These materials have relative
magnetic permeability less than 1 dipole moments
(B) These are repelled by the magnet (C) The atomic spins will be either in +1
(C) Since it is a weak property, its effects or -1 state
are not observable in every day life (D) This model is not able to predict phase
(D) Bismuth is a weak diamagnetic transition
material than superconductor
34. According to Brownian motion, in a
31. Choose the wrong statement. colloidal solution
The paramagnetic materials (A) The motion of each particle is irregular
(A) Are feebly attracted by the magnets and random
(B) Have relative permeability greater (B) The motion is independent of nature
than one of the suspended particles
(C) Paramagnetic properties are due to (C) The motion of the particles decreases
the presence of paired electrons
with increase of temperature
(D) In the presence of external magnetic
field, there is only a small induced (D) The Brownian motion cannot be
magnetization observed with particles of large size
III 8 A-16-03
Text of page 9
*A1603*
35. Choose the wrong statement. 39. A seismic vibration transducer can be
Bose-Einstein condensation used to measure displacements at
(A) Is connected with dilute gas of Bosons frequencies substantially
(B) It mainly works near about 0 K (A) Higher than its natural frequency
(C) In this state, a large fraction of bosons (B) Lower than its natural frequency
occupy lowest quantum state
(C) Equal to its natural frequency
(D) Here quantum effects are negligible
(D) None of the above
36. The Open loop gain of 741 OP Amp rolls
40. A circular diaphragm type pressure
off from __________ KHz with a slope of
__________ dB /decade. transducer produces a deflection of
0.2 mm at the centre for a pressure of
(A) 10, 40
256 KN/m2 . What pressure would produce
(B) 0.1, – 20
the same deflection if the diameter is made
(C) 0.01, – 20
twice and thickness halved ?
(D) 0.1, – 40
(A) 128 KN/m2
37. If ω and τ are input frequency and time
(B) 64 KN/m2
constant, a low pass RC filter acts as a
pure ______ when ω τ is _________ (C) 2 KN/m2
(A) Differentiator, << 1 (D) 0.5 KN/m2
(B) Integrator, >> 1
41. A thermo couple produces a voltage of
(C) Integrator, << 1
60 mv. Its internal impedance is 50 Ω . The
(D) Differentiator, >> 1 resistance of the leads is 10 Ω . Its output
38. The slew rate of an OP- Amp with is read by a PMMC meter having an
saturation voltages of + 15V is 20 v/ms. internal resistance of 120 Ω . The output
The maximum switching time from one indicated by the instrument is
saturation state to other is
(A) 33.3 mv
(A) 0.75 μ s
(B) 25 mv
(B) 1.5 μ s
(C) 10 mv
(C) 1 μ s
(D) 0.66 μ s (D) 40 mv
III 9 A-16-03
Text of page 10
*A1603*
42. A piezoelectric transducer having a 46. Which of the following systems provide
capacitance of 250 pF has an output excellent transient and steady state
voltage of 3v at no load conditions. Find response ?
the output voltage at high frequencies (A) Proportional action
when it is connected to a load capacitance (B) Proportional + integral action
of 125 pF (C) Proportional + derivative action
(A) 3v (D) Proportional + integral + derivative
action
(B) 1v
47. PID controller overshoot has increased.
(C) 2v
Derivative time constant has to be ______
(D) Data insufficient to reduce overshoot.
43. Find the odd man out from the following (A) increased (B) reduced
(C) made zero (D) none
(A) Thermocouple
(B) Thermistor 48. Generally, grounding is provided
(A) only for the safety of the equipment
(C) RTD
(B) only for the safety of the operating
(D) Pirani gauge personnel
44. An ac signal conditioning is used normally (C) Both (A) & (B)
for (D) None
(A) Resistance transducers like strain 49. Choose the wrong statement.
gauges Careful examination of alkali spectra
(B) Inductive and capacitive transducers reveals that
(A) Each members of principal series
(C) Piezoelectric transducers
consists of simple doublets
(D) All the above (B) The wave numbers differences of
sharp series doublet remain constant
45. Integral control
(C) Splitting of the lines is due to spin orbit
(A) increase the steady state error interaction
(B) decrease the steady state error (D) The relativistic effects which are
important for hydrogen atom is equally
(C) increases the noise and stability
important for the valence electron of
(D) decreases the damping co-efficient the alkali atoms
III 10 A-16-03
Text of page 11
*A1603*
50. In the Zeeman effect 52. In NMR experiment the frequency needed to
satisfy the resonance for N14 in a magnetic
(A) In the absence of magnetic field, the
field of 2.34 T is ( g nitrogen = 0.4036,
vector L and S precess separately Bn = 5.05082x10-27JT-1 , h= 6.626x10-34 J.S)
around their resultant J
(A) 7.22 MHz
(B) When the magnetic field is applied “L”
(B) 4.25 MHz
and S couple with it and in the
(C) 9.21 MHz
absence of coupling between L and
S, the latter precess independently (D) 12.36 MHz
around “B”
53. In the near infrared spectrum HCL has a
(C) In weak magnetic field energy single intense band at 2885.9 cm-1.
corresponding to coupling of L and S
If this represents a vibration spectrum, the
with B is larger than spin orbit
vibration frequency is
interaction energy 12
(A) 2.15 x 10 Hz
(D) Under small magnetic field, it is able
(B) 4x1010Hz
to perturb the coupling between L and
S. So L and S are not able to precess (C) 8.65x 1013 Hz
13
about their resultant J (D) 16x10 Hz
51. Choose the wrong statement. 54. Choose the wrong statement.
Nuclear magnetic resonance is a The Raman and infrared spectrum are
spectroscopic method. complementary because
(A) The reason lies in the different nature
(A) It is more important to organic chemist
of the processes involved in the two
than infrared spectroscopy
effects
(B) It can be used to identify different (B) Raman process is scattering effect
nuclei in the sample involving permanent diploes
(C) It cannot give information about (C) Raman process is connected with
magnetically distinct type of atoms in change of molecular polarizability
the sample during vibration
(D) In combination with IR is often (D) Infrared spectroscopy is an absorption
process caused by the change in the
sufficient to work out complete
permanent molecular dipole
structures of unknown molecule
III 11 A-16-03
Text of page 12
*A1603*
55. The quality factor of a laser cavity depends on 59. Given a square piece of X-ray film 10 cm
(A) reflectivities of the two mirrors of the side, radiation of λ = 0.0152 nm and
cavity powdered NaCl with a lattice parameter
(B) separation between the mirrors 0.563 nm, devise a diffraction experiment
(C) loss coefficient of the cavity due to in such a way that at what distance “x” from
mechanisms other than the finite the sample the rays from (111) planes will
reflectivity of the mirror produce a circle of diameter 0.01 metre on
(D) All of the above the film.(Given that if Sin θ = 0.234,
θ = 13.5°, Tan 27° = 0.509)
56. For a plane parallel configuration of a
laser cavity, the value of g1g2 is (A) 0.098 m
(A) 1.0 (B) 0.15 m
(B) 0.75 (C) 0.285 m
(C) 0.5
(D) 4.0 m
(D) 0
60. Mobilities of electrons and holes in a
57. Metals have the property of
sample of intrinsic Germanium at 300 K
(A) Moderate to strong binding are 0.36 m 2 V -1 S -1 and .017 m 2 V -1 S -1
(B) Malleability and ductility respectively. If the conductivity of the
(C) Close packed structures specimen is 2.12 Ω -1m-1, the density of
charge carriers
(D) Transparent to electromagnetic
radiation (A) 5 x 1020/m3
58. According to the Debye’s theory of specific (B) 25 x1028/m3
heat of solids (C) 6 x108/m3
(A) Solid is assumed to be continuous (D) 2.5 x1019 /m3
(B) In case of solid with “N” atoms total
number of modes of vibrations is taken 61. The magnitude of quantum unit of
as “3N” magnetic flux in superconductor is in the
(C) The maximum frequency of the waves order of
upto which they can propagate (A) 4x10-20 webers
through the solid is Debye cut off
frequency (B) 8x10-8 webers
-16
(D) The specific heat of solids is (C) 16.15x10 webers
proportional to T (D) 2.07x10-15 webers
III 12 A-16-03
Text of page 13
*A1603*
64. Choose the wrong statement.
62. Choose the wrong statement.
Hall effect is
Volume defects arises due to
(A) Rarely used techniques for studying
(A) Cracks which are generated because conduction mechanisms in solids
of small electrostatic dissimilarity (B) For single carrier case, one can get
between the stacking sequences of carrier concentration and mobilities
information
close packed planes
(C) This can supply information on the
(B) When clusters of atoms are missing predominant charge carrier scattering
volume defects or voids are not formed mechanisms and on activation
(C) Foreign particle inclusions also (D) Hall effect is a I order phenomenon
produce volume defects 65. The β - decay interaction has
(D) At the time of preparation because of (A) a long range
sudden locking of air bubbles inside (B) short range
cause volume defects (C) extremely short range
(D) none
63. Choose the wrong statement.
Liquid crystal cells 66. The theory of α -decay does not connect
(A) the kinetic energy of α particle
(A) are active optical display devices
(B) the nuclear change
which convert electrical energy into
(C) the Q-value of the equation
light energy
(D) the disintegration constant
(B) are used to fabricate display pannels
in low power portable systems 67. The existence of centrifugal barrier is
associated with
(C) retain some of the optical properties
(A) The nature of motion of the particle
of their solid form even in the semi
(B) The charge of the particle
liquid state
(C) The particle of zero angular
(D) are not semiconductors but complex momentums
organic compounds (D) All the above
III 13 A-16-03
Text of page 14
*A1603*
68. Light emission in organic scintillators is 72. The velocity distribution of thermal
neutrons follow
caused by transitions between
(A) Maxwell distribution
(A) Levels of delocalized electrons
(B) Fermi Dirac distribution
(B) Vibrations levels
(C) Bose - Einstein distribution
(C) Rotational levels
(D) None
(D) All the above
73. Iso spin numbers are associated with
69. Which of the following is incorrect about
Cerenkov radiation ? (A) Hardons only
(A) It is observed when changed particle (B) Leptons only
moves with a velocity exceeding the (C) Both hardons and leptons
velocity of light in that medium
(D) Neither hardons nor leptons
(B) It is a sharply directional glow
74. Choose the correct statement.
(C) This glow is due to coherent radiation
of oriented dipoles created along the i) The change is conserved in all
changed particle trajectory under the processes.
action of electric field ii) Net lepton number in any process
(D) None of the above remains conserved.
iii) Hyper change does not conserve in
70. Which of the following is incorrect as
weak interactions.
regards to the decay constant λ ?
(A) i & ii only are correct
(A) It is independent of physical character
and chemical condition (B) ii & iii only are correct
(B) Independent of the age of the nuclide (C) iii & i only are correct
(C) It is an important character of each (D) All are correct
radioactive nuclide
75. Typical values of input offset voltage and
(D) None of the above offset current of 741 OP Amp are
respectively
71. Which one of the following is not used for
absorbing excess of neutron in a nuclear (A) 12 mv, 10 nA
reactor ? (B) 12 mv, 10 mA
(A) Cd (B) Graphite (C) 2 mv, 10 nA
(C) Heavy water (D) None (D) 0 V, 0A
______________
III 14 A-16-03
Text of page 15
*A1603*
Space for Rough Work
III 15 A-16-03
Text of page 16
*A1603*
Space for Rough Work
III 16 A-16-03Official key not published for this paper.
Page 1 of 16
Source: Telangana State Eligibility Test. Question paper published by Telangana State Eligibility Test.