1) The document describes the quantum mechanical behavior of electrons confined to a thin semiconductor film. It presents the Schrödinger equation and solutions for this system. 2) Energy levels and wavefunctions for electrons in the film are derived and shown to depend on the film thickness. Standing wave patterns emerge due to quantum confinement. 3) Methods for measuring the electron energy levels and wavefunctions experimentally are discussed, including transport measurements and optical absorption spectroscopy.

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GATE FORUM
110, Shopper's Point
1st Floor , S. V. Road
Opp. Andheri Railway Station.
Andheri (W) Mumbai.
Tel: (022) 2623 7471 / 72
• Kolkata
GATE FORUM
4A, ELGIN Road
Next to Bhavanipur College
Kolkata-700020
Tel: (033) 30947075, 30947160
• Jaipur
GATE FORUM
C-16 , Greater Kailash Colony,
Behind New Vidhan Sabha, Lal
Kothi, Jaipur, Rajasthan.
PIN : 302001,Tel:(0141) 5103580
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TC 14/ 1679 , Behind Sanskrit
College, Palayam, Trivandrum
Kerala PIN : 695034.
Tel : (471) 2322914,
• Nagpur
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Traders,
Nagpur - 440 010,
Maharashtra
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Flat NO: 3 B, HEM Tower,
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Dhanbad – 826001
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2nd floor, Nachan Road
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5, Kalpana Building
opp. Hotel Surya
Off Ghole Road
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Maniram Dewan Road
Opposite to Regalia Marriage Hall,
Chandmari
Guwahati 781003
Tel. 91 98640 75835
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• Mumbai
GATE FORUM
110, Shopper's Point
1st Floor , S. V. Road
Opp. Andheri Railway Station.
Andheri (W) Mumbai.
Tel: (022) 2623 7471 / 72
• Kolkata
GATE FORUM
4A, ELGIN Road
Next to Bhavanipur College
Kolkata-700020
Tel: (033) 30947075, 30947160
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C-16 , Greater Kailash Colony,
Behind New Vidhan Sabha, Lal
Kothi, Jaipur, Rajasthan.
PIN : 302001,Tel:(0141) 5103580
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GATE FORUM
TC 14/ 1679 , Behind Sanskrit
College, Palayam, Trivandrum
Kerala PIN : 695034.
Tel : (471) 2322914,
• Nagpur
GATE FORUM
3rd Floor, Samarth Chambers
W.H.C Road, Opp. Chauhan
Traders,
Nagpur - 440 010,
Maharashtra
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GATE FORUM
Flat NO: 3 B, HEM Tower,
Luby Circular Road,
Dhanbad – 826001
Tel: (0326) 3108848
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2nd floor, Nachan Road
Opposite Bank of India,
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5, Kalpana Building
opp. Hotel Surya
Off Ghole Road
Pune - 411004
Tel : (020) 25538396 / 25510078
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Maniram Dewan Road
Opposite to Regalia Marriage Hall,
Chandmari
Guwahati 781003
Tel. 91 98640 75835
• Hubli / Dharwad
GATE FORUM
Plot no. 101, Shri
Venktesh Krupa,
Shiv Basav Nagar,
BELGAUM Pin 591 010
(Land mark: Naganoor swami
Kalyan Mantap
• Hyderabad
GATE FORUM
Suite Number 515,Model
House
Hyderabad - 82
Ph: +91-40-5583 3454
+91-40-5583 3242

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110, Shopper's Point
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• Kolkata
GATE FORUM
4A, ELGIN Road
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Kolkata-700020
Tel: (033) 30947075, 30947160
• Jaipur
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Kothi, Jaipur, Rajasthan.
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• Mumbai
GATE FORUM
110, Shopper's Point
1st Floor , S. V. Road
Opp. Andheri Railway Station.
Andheri (W) Mumbai.
Tel: (022) 2623 7471 / 72
• Kolkata
GATE FORUM
4A, ELGIN Road
Next to Bhavanipur College
Kolkata-700020
Tel: (033) 30947075, 30947160
• Jaipur
GATE FORUM
C-16 , Greater Kailash Colony,
Behind New Vidhan Sabha, Lal
Kothi, Jaipur, Rajasthan.
PIN : 302001,Tel:(0141) 5103580
• Trivandrum
GATE FORUM
TC 14/ 1679 , Behind Sanskrit
College, Palayam, Trivandrum
Kerala PIN : 695034.
Tel : (471) 2322914,
• Nagpur
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3rd Floor, Samarth Chambers
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Traders,
Nagpur - 440 010,
Maharashtra
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GATE FORUM
Flat NO: 3 B, HEM Tower,
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Tel: (0326) 3108848
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2nd floor, Nachan Road
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Benachity.
Durgapur - 713213
• Pune
GATE FORUM
5, Kalpana Building
opp. Hotel Surya
Off Ghole Road
Pune - 411004
Tel : (020) 25538396 / 25510078
• Guwahati
GATE FORUM
Maniram Dewan Road
Opposite to Regalia Marriage Hall,
Chandmari
Guwahati 781003
Tel. 91 98640 75835
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Plot no. 101, Shri
Venktesh Krupa,
Shiv Basav Nagar,
BELGAUM Pin 591 010
(Land mark: Naganoor swami
Kalyan Mantap
• Hyderabad
GATE FORUM
Suite Number 515,Model
House
Hyderabad - 82
Ph: +91-40-5583 3454
+91-40-5583 3242
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( ) !
+
=
QR $ H )
$ " $$ -$ & $
2
( )!+
@
F 9
F
1
+
*6

147. ! ! "
# !!$ # % ! & '%
( !!$ % " # $ %& ' %
0- ' @2E " & ,Ω
" & " 9 &
& "
# # 4
" $ #04
$ $ 4
& 4
0/ ' & && &!
* ( & & 6 & * !
' )
! %. " %. %. & %.
- ' & '1 & ' ! 4 $ $ '1 =
& *" 6 &
#0 =,5 " #+ =,5 =,5 & /+ =,5
- ' & 1 ) !$ %. &
! H ' & % = &
! % = & " $ - % = &
! % = & & $ + % = &
-! ' 1 & & " 2 & > $ 4
* #1 $1 * ) 2>? '
& * & -
&
10/ 5
" 1 /05
F /05
& F0/ 5
-# ' " *@ & * & *
' * " & Ω 1
! " * & & *
$ +H " - $H /$ +H & 0 $H
:
,Ω 9
,Ω
@2E
9 "
4
,
2
>
?
.
5
Ω
-

148. ! ! "
# !!$ # % ! & '%
( !!$ % " # $ %& ' %
-$ 6 @ " -# & &
" $ %5" !! 5" & 5"
- ' DEA I & ' & E.
DEA I Ω E.
DEA I
## - 5
" 5
0 5
& # - 5
-+
& , & &
#/+- 5
" !/ 5
0/# 5
& - 5
-0 4 & & *
A - & * & &
& & 8 & &*
+ ' " + $ ' - ' & '
-- & A & A!
6 * & A & $ 4 + ' A! & $ 4 #
' & ! ' & & *
, A
' " ! ' # ' & $ '
'
ω
π #π!π
!# ! ω α;
$
π 2; Ω
A
8 Ω4
A
!%
! '! 4
8
A!
! %

149. ! ! "
# !!$ # % ! & '%
( !!$ % " # $ %& ' %
-/ ' 1 1 & & * 6 &&
& " , 4= '
* !Ω ,
!# 4 1 # H K &
& & "
##/ " # / #++ & #-+
/ ' " & & & $ . & &
) & & &
&
$- , !
" +$ , !
/+ , !
& !- , !
F! .
)
A &
1
F

150. ! ! "
# !!$ # % ! & '%
( !!$ % " # $ %& %
Ω
Ω
Ω
Ω
! ( ) ( )" # "= + $
%
%
( )" +
" & ' () & ' &* ' " +(, &- .
+
+ +
+ +
# # ) & /& ' 0
.( & ) & $
%
%
%
%
& . ( )∇ ∇ × 1
& /&
2 3 . , ' /& ) & &
( )
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#
#
+
=
+ +
. , ) /& &1 .
43
ΩΩ
%
+
+ν ν
0
Ω5
%
Ω

151. ! ! "
# !!$ # % ! & '%
( !!$ % " # $ %& %
& 6 & 6 & 6 # & 6
' & ) ) & & &
. , ' ) ) & & $
"
( )+
( )+
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4 , & . * & . , ' ) ) & &
( )
( )+
= $
∞
7 , &- 1 8-0 1 ' ' &. &
- & * ' &-$
3 , , &-98 1:, , & * , &-8
% &1, . (/& ,
&-8 , &
&-8 , 1 &
8 & ' & , ' ;<$
) 8 ,) )& .( )∩ =
8& .( )∪ ≥ 8& . 8 = 8& .
8 & , . - ., )
8& .( )∩ ≤ 8& . 8
"
∞
−
= !
"
−
#
,
"
"
"−
( "
"((("

152. ! ! "
# !!$ # % ! & '%
( !!$ % " # $ %& %
& & & & 1 ( ) ( ) ( )"= − = $
( ) "−
= ( ) "−
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, / & &, .
′ ′ ′= ′=
# > & () & &, & & )
& " ? ' ) && ) )
! &( ! & ! &( @ @ ( @ @ ( + /
A &1 6) & , & ' &)
) & & , &* > B C + > , &)&
) & ) & & D
> B C +
2 & , & ) & ) & & ) ' & )
& )) ' & 1 $
( )− ( )− ( )− ( )−
) ) &, & & %3 , ' &$
& 0 ) E & B 0 )
) & & %3 ,, & ) .
&
# # # #
>
B
C
+
!)
&1

153. ! ! "
# !!$ # % ! & '%
( !!$ % " # $ %& %
4 3 4 *% & , , -, , ) ' & & & ) .
) & # *% ' & & ' , -, ,
) ' & & & ) . ))&-, .
8 8
#
7 & <F% & , , . & .
) ' & & ' &(
&, &
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*) ' & & , & &.
&( ' . , ' , , &1 .
, & ) ' &&1 &, ) &
, , / &, & &
(, &' &* )& )
,
& & ) & &
3 8 G , & & & , @G
& = 3G & ( ) ( )" #ν = , &&
% %
"
+
" 3 , " & && $
,3
,3
,3
,3
# 4 4 , . & & F H
& & , , &. & ) . $
!8FH !8FH !FH@ ! 3B
@
@
*Ω
*Ω
@G
,3

154. ! ! "
# !!$ # % ! & '%
( !!$ % " # $ %& %
3 , I( A! < '
& = % ' $
%
%
%
%
2 & ' 2 ' &*
JK )( )
G * ! )( )
)( )
&
3 ( ( & &' ( ) " %
& # ,% / $
# 4 2 "
4 & && & & ) ' & A! <
))&-, .
) & &
& & .) &
-) . .
7 3 & () & & & &, # % ! F/ & ()
3G & ) & .& ) * )
1
# % # #
"
#
"
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. &, &,
. &, . &) &,
*Ω *Ω
*Ω
@
!
L
%
%
B
GHK
@

155. ! ! "
# !!$ # % ! & '%
( !!$ % " # $ %& %
" H & " &, , & &1 .
& ν 3 F/ H ,
&) &1 . & F/ '
&) & $
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.
$ $ " $ $
$ $ $ $
"
"" & & &' &, ' "" !
1
2 " " "
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3 , && & & 0 =
1
3
3
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M
H
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N
C
ν
"
%
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,F 0

156. ! ! "
# !!$ # % ! & '%
( !!$ % " # $ %& %
" & & , ( & ( , & ) , '
" & . & &. , &
' & & '
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&, 8( .
% Ω
% Ω
#% Ω
#% Ω
" 3 . * . , ) )
( ) ( )
( )
( )
−
=
+
, '
> KP < KQ (
=
=
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−
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@ & ! , &
B
B
B
B
B B B"
Ω
Ω
Ω#%
; * '
' &*

157. ! ! "
# !!$ # % ! & '%
( !!$ % " # $ %& %
"4 > R ) ) ) & . , '
"4 ' . &&&
( (
"7 LF ) I.1 ) ) & &
( ) ( )
π −
= ) & & - )
( R ( R ( R ( R
# ,) . , ' # ) , & 2 ?
& &&1 . & 6 K $
"22
"
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# & , &-
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= − 1 S > '
&D
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−
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−
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= − )&' −
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2 # "− − −
C
"
+
=
−
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=
C=
− ( )+
K= "22

158. ! ! "
# !!$ # % ! & '%
( !!$ % " # $ %& %
#" 3 & & , & )&
)& . - . ' & $
4
"
4
"
#
## & ( ) −
= , -, , & ' - 1 $
(
# & &
"
= + , & ) " $
"
7
7 7
#2 & 1 ( ) ( ) ( )"+ + = ( ) ))&
' → ∞
# H ) & &,
( )
( )
( )
" 2
3
+ +
= → ∞
+ +
))&
" ∞
#4 & & & & ( ) = $
+ −
+ −
#7 ( ) ) ( )δ ,) & /(
& &, ( ) =
+
& ≥ $
( ) ( )δ− ( ) ( )δ − − ( ) ( )− ( ) ( )− −

159. ! ! "
# !!$ # % ! & '%
( !!$ % " # $ %& %
' , ) & & &. &, & &&. '
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) ' . && , & & ) &.
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,! ! ,! !⊗
3 *> , & &' & &, & && .
) > & & ) . &, & &
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& . , & & ))&-, .
*> *> *> *>
*> *> *> *>
& @G , , ' &&
,
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@ ) ) ' & 8 " φ .
# ω .
.
3 8 ( " ( " (
N 8 ( ( ( #
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@ 8 ( ( " (
! I
!
!′
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160. ! ! "
# !!$ # % ! & '%
( !!$ % " # $ %& %
" & . & , ' ' ,
D
) , & ( - . & & & &
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,) & & ) . & , & ( &
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# ; & )) , & &
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& ) & && &
3 & () , & & . & ( ( @AH '
& & && &' 2 , &&
) #T & & ) &1
&1 ))&-, . 1
# ## # 2
2 ) , & & & &
& & &
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@ &, && & &' ' ! "
# !"
$; &%6 & , & , -, ,
) &1 &, & ' & ) (
. & &
# $ , - , , & .
* ) & %6 & & ) &
N 9: 9&: & & 9&: && & &9:
N 9: 9&: & & 9&: && & &9:
N 9: 9&: &
9: & 9&:

161. ! ! "
# !!$ # % ! & '%
( !!$ % " # $ %& %
4 ) &, & & ) & & , & $
! & ,6 & - 6" "= Ω = Ω
) 1 & /& 1 &
& ) . Ω6*, &
" 2 " 2
7 3 & ( ' # > ) & %3
, ) ' & & 7 ) &
& ) ' & & ,
4 4 7
2 ' &* ' 2 ,) )
, , , &- # ' &* $
(R7 4 =R =R (R7 7
2 3 & 1 &, ' &, & L
L ' 2 & & &
& .
6 &
6 &
!
!
= + +
= + +
' & $ % & & > $ % & ) . &,
, & , " > $ % & ) . &
2 ' ' &* & ' 2 >
1 3 N G @ & L
#& = ∠ ° $
"∠ °Ω
# #∠ − °Ω
Ω
Ω
(R(R (R
=R =R
M M
H
L L
"= ∠ °Ω

162. ! ! "
# !!$ # % ! & '%
( !!$ % " # $ %& %
%
%
2 Ω# Ω
2" 3 & &' ) &, )) ) ' & &
)( ) & &, & ) & ( &
' 2" , )
I & ) . , .
. ) ' & , . , 2 ) ( &
&)) & . .) ' & , ) '
)
" )
)
)
2# , )) ( ) ( ) &/
& ) & ) . ) )& & &( (4
) . 8 & ( ) ( )# "= + ( ) 1
( )# "− ( )+ ( )4 2+ ( )# "+
2 3 @G ,, & & Ω && & S 3
& - S 3 , &&1 & '
& $
Ω Ω Ω Ω
22 ( ) 22 , & & ,, &
, && & Ω Ω & ) . && & 3
4 % & ) . , & & 7 Ω ) &
&&& , &, $
T " T
# T # T
2 3 % @G )). ' ( & ) E
& & & & # Ω 2 Ω & ) . '
2 3 , &' & KΩ , &
> ' ) & & , &
&
4 % 2 % # % # %
M
%
3

163. ! ! "
# !!$ # % ! & '%
( !!$ % " # $ %& %
24 ' ' , & ' & , & ) ' & & (
) . , )). & *> S *>
& ) . ) ' & ) ' & && ) . &
" *> ""# " *> 24#
4 *> 4 *> ""#
27 ,, , & ,) & ' 27
,3 && &
))&-, && $
53
53
53
53
G & & ,) & ) & ,) & '
&' & / ) & . , (
& & ) ' * ) '
S S )) & , Ω
.
Ω
*Ω
# *Ω
.) &1 .& ) ' ( & ) ,) &
'
M
%GG0 %
G0 *Ω
ν
β0
,3ν
=
=
−
ν
ν
L
&1 .
L
&1 .

164. ! ! "
# !!$ # % ! & '%
( !!$ % " # $ %& %
ν
=
−
H
(%
=%
ν
=
−
) ) ' )) & '
ν ν
ν ν
L
&1 .
L
&1 .

165. ! ! "
# !!$ # % ! & '%
( !!$ % " # $ %& %
B
B
" ! & ' ' )& ) & )
"
# & ) & ' # ) $
+
•
•
•
B
B
B
B
B
B
B
B
%@@
BB

166. ! ! "
# !!$ # % ! & '%
( !!$ % " # $ %& %
B
B
= = ) &,
2 2 ' & ) ' & , & &&
& & ' & & & AI
& & & A & D> &. & & D
& AI ( )+
& A ( )+
& AI ( )+
& A ( )+
3 & ' ! &1 & * &) &. &
A ' ' &1 & .
& & AI '
> ' & & / ' !D
8
!
ν
ν
%
$' %'
'
′
!
! ′
±
′ ′
′
′

167. ! ! "
# !!$ # % ! & '%
( !!$ % " # $ %& %
Ω
F
# Ω
%
!
A .8 8 8 !
4 4 ' )( ' )) & ' KF/' .& @ 0
) *() *&)) &&
3
3
3
3
7 3 & , & ) & &1 I, & '
&1 I, & & & 6 , ,
& . , , G , 6&
* , I, # * , # I,
4 G & ) & & & ' 4 .& & &
α &.) . ) ) *
) 1 " % & α
# ?
" ?
7 ?
4" 2?
% & $ '
( % & ) $3 F
& # Ω ' 4 3 & ' !
' ) & &. , , ) 0
4 * + 0 =
& % & $
Ω
Ω
# Ω
2 Ω
*,+ & , * &7 T &
&. )
%
,F
Ω('
=
−
F/
=
−
M ν" %
!

168. ! ! "
# !!$ # % ! & '%
( !!$ % " # $ %& %
( % & ) $
3 & . ,
( ) ( ) ( )"
= +
−
' ( ) "= − )
) ( )
4 * + & , &-
( )"
"
"
−
−
− ( )"
"
− −
−
−
( )"
"
"
− −
−
− ( )−
−
−
*,+ & 1
( )
−
−
−
= ( ) "
"
−
−
−
=
( )
"
"
"
−
−
−
= ( )
"−
−
−
=
( % & ) $3 *%3 2 2 *% "()
& . & ) . & & & . & &
Ω I &, & & & ) & .
) ' & &
4" * + , ( (
*% *% 7 2 *% *%
*,+ ) ' & & &1
" 7? 4 "? # 2? "" ?
( % & - ) - $3 *%
) ' & . , & () # %3 (
& %3 I & )
. ,
4# * + ) 1 & ) & $
Ω # ""Ω Ω Ω

169. ! ! "
# !!$ # % ! & '%
( !!$ % " # $ %& %
*,+ /& 1 & ) & $
Ω # 4#Ω 4 4Ω Ω
( % & ' ) ' $3 , &
I( A! < ' 4 = % )
& & A! < & '
4 * + & A! < $
,! ,! ,! ,!
*,+ ,) & $
= ( = (
%@@0 %
M
0 *Ω
ν) '
ν(*0 ,%'
%'
=
@! ,3
%@! %
%L!0#%
"%
%
%
"
#

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Q. No. 1 – 20 Carry One Mark Each
1. The pressure coil of a dynamometer type wattmeter is
(A) highly inductive (B) highly resistive
(C) purely resistive (D) purely inductive
2. The measurement system shown in the figure uses three sub-systems in cascade
whose gains are specified as 1 2
3
1
G , G and
G
. The relative small errors associated
with each respective subsystem 1 2 3 1 2 3G , G and G are , andε ε ε . The error
associated with the output is:
(A) 1 2
3
1
ε + ε +
ε
(B) 1 2
3
.ε ε
ε
(C) 1 2 3ε + ε − ε (D) 1 2 3ε + ε + ε
3. The following circuit has a source voltage Vs as shown in the graph. The current
through the circuit is also shown.
The element connected between a and b could be
(A) (B)
(C) (D)
Input 1G 2G
3
1
G
Output
sV
+
−
a b
R 10k
15
10
5
0
5
10
15
−
−
−
0 100 200 300 400
Vs(volts)
Time (ms)
1.5
1
0.5
0
0.5
1
1.5
−
−
−
0 100 200 300 400
Current(mA)
Time (ms)
a b
a b
a b
a b

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4. The two inputs of a CRO are fed with two stationary periodic signals. In the X-Y
mode, the screen shows a figure which changes from ellipse to circle and back to
ellipse with its major axis changing orientation slowly and repeatedly. The
following inference can be made from this.
(A) The signals are not sinusoidal
(B) The amplitudes of the signals are very close but not equal
(C) The signals are sinusoidal with their frequencies very close but not equal
(D) There is a constant but small phase difference between the signals
5. The increasing order of speed of data access for the following devices is
(i) Cache Memory
(ii) CDROM
(iii) Dynamic RAM
(iv) Processor Registers
(v) Magnetic Tape
(A) ( ) ( ) ( ) ( ) ( )v , ii , iii , iv , i (B) ( ) ( ) ( ) ( ) ( )v , ii , iii , i , iv
(C) ( ) ( ) ( ) ( ) ( )ii , i , iii , iv , v (D) ( ) ( ) ( ) ( ) ( )v , ii , i , iii , iv
6. A field excitation of 20 A in a certain alternator results in an armature current of
400A in short circuit and a terminal voltage of 2000V on open circuit. The
magnitude of the internal voltage drop within the machine at a load current of
200A is
(A) 1V (B) 10V (C) 100V (D)1000V
7. The current through the 2 kΩ resistance in the circuit shown is
(A) 0mA (B) 1mA (C) 2mA (D) 6mA
8. Out of the following plant categories
(i) Nuclear (ii) Run-of-river (iii) Pump Storage (iv)Diesel
The base load power plants are
(A) (i) and (ii) (B) (ii) and (iii) (C) (i), (ii) and (iv) (D)(i), (iii) & (iv)
9. For a fixed value of complex power flow in a transmission line having a sending
end voltage V, the real power loss will be proportional to
(A) V (B) V2
(C) 1/V2
(D) 1/V
A B
6V
1kΩ 1kΩ
1kΩ1kΩ
2kΩ
C
D

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10. How many 200W/220V incandescent lamps connected in series would consume
the same total power as a single 100W/220V incandescent lamp?
(A) not possible (B) 4 (C) 3 (D)2
11. A Linear Time Invariant system with an impulse response h(t) produces output
y(t) when input x(t) is applied. When the input ( )x t − τ is applied to a system
with impulse response ( )h t − τ , the output will be
(A) ( )y t (B) ( )( )y 2 t − τ (C) ( )y t − τ (D) ( )y t 2− τ
12. The nature of feedback in the opamp circuit shown is
(A) Current - Current feedback
(B) Voltage - Voltage feedback
(C) Current - Voltage feedback
(D) Voltage - Current feedback
13. The complete set of only those Logic Gates designated as Universal Gates is
(A) NOT, OR and AND Gates (B) XNOR, NOR and NAND Gate
(C) NOR and NAND Gates (D) XOR, NOR and NAND Gates
14. The single phase, 50Hz, iron core transformer in the circuit has both the vertical
arms of cross sectional area 20cm2
and both the horizontal arms of cross
sectional area 10cm2
. If the two windings shown were wound instead on opposite
horizontal arms, the mutual inductance will
(A) double
(B) remain same
(C) be halved
(D) become one quarter
15. A 3-phase squirrel cage induction motor supplied from a balanced 3-phase source
drives a mechanical load. The torque-speed characteristics of the motor (solid
curve) and of the load (dotted curve) are shown. Of the two equilibrium points A
and B, which of the following options correctly describes the stability of A and B?
(A) A is stable B is unstable
(B) A is unstable B is stable
(C) Both are stable
(D) Both are unstable
∼
1kΩ
inV
2kΩ
outV
6V+
6V−
−
+
sync
N
N0
A
B
1.0
Torque
•
•

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16. An SCR is considered to be a semi-controlled device because
(A) it can be turned OFF but not ON with a gate pulse
(B) it conducts only during one half-cycle of an alternating current wave
(C) it can be turned ON but not OFF with a gate pulse
(D) it can be turned ON only during one half-cycle of an alternating voltage wave
17. The polar plot of an open loop stable system is shown below. The closed loop
system is
(A) Always stable
(B) Marginally stable
(C) Unstable with one pole on the RH s-plane
(D) Unstable with two poles on the RH s-plane
18. The first two rows of Routh's tabulation of a third order equation are as follows.
3
2
2 2s
4 4s
. This means there are
(A) two roots at s j= ± and one root in right half s-plane
(B) two roots at s j2= ± and one root in left half s-plane
(C) two roots at s j2= ± and one root in right half s-plane
(D) two roots at s j= ± and one root in left half s-plane
19. The asymptotic approximation of the log-magnitude vs frequency plot of a
system containing only real poles and zeros is shown. Its transfer function is
(A)
( )
( )( )
10 s 5
s s 2 s 25
+
+ +
(B)
( )
( )( )2
1000 s 5
s s 2 s 25
+
+ +
(C)
( )
( )( )
100 s 5
s s 2 s 25
+
+ +
(D)
( )
( )( )2
80 s 5
s s 2 s 25
+
+ +
0.1 2 5 2.5
80dB
40dB / dec−
60dB / dec−
rad /sω
Imaginary
Real
ω = ∞
0ω =
1.42−

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20. The trace and determinant of a 2×2 matrix are known to be -2 and -35
respectively. Its eigen values are
(A) -30 and -5 (B) -37 and -1 (C) -7 and 5 (D) 17.5 and -2
Q. No. 21 – 56 Carry Two Marks Each
21. The following circuit has R 10k , C 10 F= Ω = µ R. The input voltage is a sinusoid at
50Hz with an rms value of 10V. Under ideal conditions, the current is from the
source is
(A) 0
10 mA leading by 90π
(B) 0
20 mA leading by 90π
(C) 0
10mA leading by 90
(D) 0
10 mA lagging by 90π
22. In the figure shown, all elements used are ideal. For time t<0, S1 remained
closed and S2 open. At t=0, S1 is opened and S2 is closed. If the voltage Vc2
across the capacitor C2 at t=0 is zero, the voltage across the capacitor
combination at t=0+
will be
(A) 1V (B) 2 V (C) 1.5 V (D) 3 V
23. Transformer and emitter follower can both be used for impedance matching at
the output of an audio amplifier. The basic relationship between the input power
Pin and output power Pout in both the cases is
(A) Pin = Pout for both transformer and emitter follower
(B) Pin > Pout for both transformer and emitter follower
(C) Pin < Pout for transformer and Pin = Pout for emitter follower
(D) Pin = Pout for transformer and Pin < Pout for emitter follower
∼
C
10 Fµ
R
10kΩ
OPAMP
+
−
10k
R
Ω
si
Vs=10Vrms,50Hz
2S1S
3V
1C 1F 2C 2F