One Stop GATE Forum: GATE–Sample Questions-Signals And System

Message


   Que. 1      For a secound order system  with the close loop transfer function     
                T(s)= 9/[s^2+4s+9] the setting time for 2% band in secounds 
is
A         1.5
B         2.0
C         3.0
D         4.0
Que. 2     The Nyquist sampling interval,for the signal sinc(700t)+sinc(500t) is
A         1/350 sec
B         (pi)/350 sec
C         1/700 sec
D         (pi)/175 sec
Que. 3     A video transmission system transmitts 625 picture frames/sec. Each frame 
consist of a       (400*400) pixel grid with 64 intensity levals/pixal.The 
data rate of the system is
A         16Mbps
B         100Mbps
C         600Mbps
D         6.4Mbps
Que. 4     Let x and y be two statistically independent random variables uniformly 
distributed in the ranges (-1,1)and(-2,1) respectively let Z=x+y, then 
the probality that is
A         0
B         1/6
C         1/3
D         1/12
Que. 5     The gain margin and the phase margin of a feedback system with G(s)H(s)=s/(s+100)^3 
are
A         0db,0degree
B         infinite,infinite
C         infinite,0degree
D         88.5dB,infinite
Que. 6     For the polynomial P(s)=s^5+s^4+2s^3+2s^2+3s+15,the number of root which 
is right halfe of the s-plane is
A         4
B         2
C         3
D         1
Que. 7     Laplace transform of tsin at is
A         2as/[(s^2)+(a^2)]^2
B         2a/[(s^2+a^2)]^2
C         2s/[(s^2)+(a^2)]^2
D         a/[(s^2+a^2)]^2
Que. 8     1Khz sinusoidal signal is ideally sampled at 1500 samples/sec and the 
sasmpled signal is passed though an ideal low-pass filter with cutoff 
freq. 800hz the output signal has freq.
A         0 hz
B         0.75Khz
C         0.5Khz
D         0.25Khz
Que. 9     A system function has a pole at s=0 and a zero at s=-1 the constant multiplier 
is unity for an exitation cos t, the steady state response is given by
A         [(sqrt)2] cos(t+45degree)
B         [(sqrt)2] cos(t-45degree)
C         cos45degree
D         1/[(sqrt)2] cos(t+45degree)
Que. 10     For a liner transfer function of the variable, the transfer function of 
the system
A         changes
B         does  not change
C         has no relation at all
D         depends on other fectors also
Que. 11     Asignal phase voltage source square wave inverter feeds pure inductive 
load.The waveform of the load current will be
A         sinusodal
B         rectangular
C         trapezoidal
D         triangular
Que. 12     The unit ckt of the Nyquist plot transforms into 0dB line of the amplitude 
plot the bode digram at
A         0 frequency
B         low frequency
C         high frequency
D         any frequency
Que. 13     An instruction used to set the carry flag in a computer can be classified 
as
A         data transfer
B         arithmetic
C         logical
D         program control
Que. 14     a system function H(s)=V(s)/I(s)=s+2/2s+1         the system is at rest 
for t<0.i(t)=unit step. the value of v(t) at t=0 and t=infinite respectively 
are
A         2 and 1/2
B         1/2 and 2
C         0 and indetermined
D         2 and indetermined
Que. 15     H(s)=V(s)/I(s)=4s+6/s+2, i(t)=unit step function. v(t) as t->infinite 
is given by
A         0
B         3
C         4
D         infinite
Que. 16     A driving point impedance Z(s)=V(s)/I(s)=s+1/s+2. the system is initally 
at rest for a voltage a signal at unit step, the current i(t) through 
Z is given by
A         1-e^-r
B         2-e^-r
C         2-2e^-r
D         1/2e^-r
Que. 17     For the random variable x following the probality density function p(x) shows in fig. the mean and the variance are respectively
                              ^
                              |  P(x)
                              |
     1/4     _____|___________
    |    |    |           |
                         |    |           |       
                      ___|____|___________|_______ x
                         -1   0           3   ---->    
A         1/2 and 2/3
B         1 and 4/3
C         1 and 2/3
D         2 and 4/3
Que. 18     If R is the source resistance the output resistance of an emittor follower 
using the           s simplified hybrid model would be
A         h(ie)+R(s) /1+h(fe)
B         h(ie)  +R(s) /h(fe)
C         R(s) +1/h(fe)
D         1/h(fe)
Que. 19     A unit feedback system has an open-loop transfer function of          
            G(s)=1000/s(s+10)^2               the magnitude of G(jw) in 
the DB at an angular frequency at w= 20 red/sec
A         0dB
B         10dB
C         20dB
D         none of the above
Que. 20     A linear discreate time system has the characteristic equation Z^3-0.81Z=0.the 
system
A         is stable
B         is marginally stable
C         is unstable
D         stability can not be assessed from the given information
Que. 21     H(s)=V(s)/I(s) = s+3/(s+3)^2  .i(t) is unit step.V(t) 
is steady state is given by
A         3/2
B         3/4
C         1
D         0
Que. 22     In case of synchro error dector,the electrical zreo position of control 
transformer is obtained when angular displacement between rotors is
A         0
B         45degree
C         90degree
D         180degree
Que. 23     A second order differential equation is given by                      
 d^2x/dt^2+5dx/dt+7x=7y The undamped natural freq. and damping ratio are
A         1,5
B         5,7
C         1,[(sqrt)7]
D         [(sqrt)7],0.94
Que. 24     An amplifier has a bandwidth of 20khz and a midband gain of 50 without 
feedback.If a -ve feedback of 1% is applied.then bandwidth with feedback 
is
A         13.3khz
B         30khz
C         10khz
D         40khz
Que. 25     A unity feedback system has the plan transfer function              Gp 
(s)=1/[(s+1)(2s+1) ] an integral controller with transfer function G  
(s)=k/s is placed in the feedforward path the of the feedback system. 
the value of k such that the compensated system has an open loop gain 
margin of 2.5
A         3/5
B         5/3
C         2
D         none of the above
Que. 26     The fourier transform of the unit step function is
A         f(jw)=j/w
B         f(jw)=jw
C         f(jw)=1/jw
D         f(jw)=1/w
Que. 27     The fourier transform of function f(at) is given by
A         f(at)=aF(w)
B         f(at)=2/a F(w)
C         f(at)=1/a F(w/a)
D         none
Que. 28     The eigen value of the matrix A= |0  1|  are
                                      |1  0|
A         1,1
B         -1,-1
C         j,-j
D         1,-1
Que. 29     the trigonometric fourier series ofa perodic function can have only
A         cosine term
B         sine term
C         cosine and sine term
D         none of these
Que. 30     inverse Laplace transform of 10/(s^2)+2s+5  is
A         10 (e^-t) sin2t
B         5 (e^-t) sin2t
C         10 (e^-t) cos2t
D         5 (e^-t) cos2t
Que. 31     Laplace transform of (e^-at) f(t) is
A         F(s) (e^-at)
B         F(s-a)
C         F(s+a)
D         F(s)/(s +a)
Que. 32     |Adj A| is equal to
A                  |A|^n
B                  |A|^(n-1)
C                  |A|^(n+1)
D                  |A^-1|
Que. 33     About the fourier series expansion ofa perodic function it can be said 
that
A         Even function have only a constant and cosine terms in there 
FS expansion
B         odd function have only sine terms in there FS expansion
C         functions with half wave symmetry contain only odd harmonics
D         all above the three
Que. 34     the final value of [(L^-1)(2s+1)]/[(s^4)+8(s^3)+16(s^2)+s] is
A         infinity
B         2
C         1
D         0
Que. 35     The fourier transform of a Gaussian time pulse is
A         uniform
B         A pair of impulses
C         Gaussian
D         Rayleigh
Que. 36     The discrete time system described by y(n)=x(n)^2 is
A         causal,linear and time varying
B         causal,non-linear and time varying
C         non-causal,linear and time invarying
D         non-causal,non-linear and time variant
Que. 37     Which one of the following transfer functions does correspond to a non-minimum 
phase system?
A         s/[(s^2)+2s+1]
B         (s+1)/[(s^2)+2s+1]
C         (s+1)/[(s^2)+2s-1
D         (s-1)/[(s^2)+2s+1]
Que. 38     The electromechanical closed loop control system has the following characteristic 
equation:       [(s^3)+6K(s^2)+(K+2)s+8]=0  where K is the forward gain 
of the system.the condition for closed loop stability is
A         K=0.528
B         K=2
C         K=0
D         K=-2528
Que. 39     Which of the following signal is/are periodic?
A         S(t)=cos2t+cos3t+cos5t
B         S(t)=exp[j8(pi)t]
C         S(t)=exp(-7t)sin10(pi)t
D         S(t)=cos2tcos4t
Que. 40     A secound-order system has a transfer function given by     G(s)=25/[(s^2)+8s+25] 
If the system,initally at rest is subjected to a unit step input at t=0,the 
secound peak in response will occur at
A         (pi) sec
B         (pi) /3 sec
C         2(pi)/3 sec
D         (pi)/2 sec

Author	Message
aparna Groupie Joined: 30Apr2007 Online Status: Offline Posts: 70	Topic: GATE–Sample Questions-Signals And System Posted: 27Nov2007 at 2:48am
	Que. 1 For a secound order system with the close loop transfer function T(s)= 9/[s^2+4s+9] the setting time for 2% band in secounds is A 1.5 B 2.0 C 3.0 D 4.0 Que. 2 The Nyquist sampling interval,for the signal sinc(700t)+sinc(500t) is A 1/350 sec B (pi)/350 sec C 1/700 sec D (pi)/175 sec Que. 3 A video transmission system transmitts 625 picture frames/sec. Each frame consist of a (400400) pixel grid with 64 intensity levals/pixal.The data rate of the system is A 16Mbps B 100Mbps C 600Mbps D 6.4Mbps Que. 4 Let x and y be two statistically independent random variables uniformly distributed in the ranges (-1,1)and(-2,1) respectively let Z=x+y, then the probality that is A 0 B 1/6 C 1/3 D 1/12 Que. 5 The gain margin and the phase margin of a feedback system with G(s)H(s)=s/(s+100)^3 are A 0db,0degree B infinite,infinite C infinite,0degree D 88.5dB,infinite Que. 6 For the polynomial P(s)=s^5+s^4+2s^3+2s^2+3s+15,the number of root which is right halfe of the s-plane is A 4 B 2 C 3 D 1 Que. 7 Laplace transform of tsin at is A 2as/[(s^2)+(a^2)]^2 B 2a/[(s^2+a^2)]^2 C 2s/[(s^2)+(a^2)]^2 D a/[(s^2+a^2)]^2 Que. 8 1Khz sinusoidal signal is ideally sampled at 1500 samples/sec and the sasmpled signal is passed though an ideal low-pass filter with cutoff freq. 800hz the output signal has freq. A 0 hz B 0.75Khz C 0.5Khz D 0.25Khz Que. 9 A system function has a pole at s=0 and a zero at s=-1 the constant multiplier is unity for an exitation cos t, the steady state response is given by A [(sqrt)2] cos(t+45degree) B [(sqrt)2] cos(t-45degree) C cos45degree D 1/[(sqrt)2] cos(t+45degree) Que. 10 For a liner transfer function of the variable, the transfer function of the system A changes B does not change C has no relation at all D depends on other fectors also Que. 11 Asignal phase voltage source square wave inverter feeds pure inductive load.The waveform of the load current will be A sinusodal B rectangular C trapezoidal D triangular Que. 12 The unit ckt of the Nyquist plot transforms into 0dB line of the amplitude plot the bode digram at A 0 frequency B low frequency C high frequency D any frequency Que. 13 An instruction used to set the carry flag in a computer can be classified as A data transfer B arithmetic C logical D program control Que. 14 a system function H(s)=V(s)/I(s)=s+2/2s+1 the system is at rest for t<0.i(t)=unit step. the value of v(t) at t=0 and t=infinite respectively are A 2 and 1/2 B 1/2 and 2 C 0 and indetermined D 2 and indetermined Que. 15 H(s)=V(s)/I(s)=4s+6/s+2, i(t)=unit step function. v(t) as t->infinite is given by A 0 B 3 C 4 D infinite Que. 16 A driving point impedance Z(s)=V(s)/I(s)=s+1/s+2. the system is initally at rest for a voltage a signal at unit step, the current i(t) through Z is given by A 1-e^-r B 2-e^-r C 2-2e^-r D 1/2e^-r Que. 17 For the random variable x following the probality density function p(x) shows in fig. the mean and the variance are respectively ^ \| P(x) \| 1/4 _____\|___________ \| \| \| \| \| \| \| ___\|____\|___________\|_______ x -1 0 3 ----> A 1/2 and 2/3 B 1 and 4/3 C 1 and 2/3 D 2 and 4/3 Que. 18 If R is the source resistance the output resistance of an emittor follower using the s simplified hybrid model would be A h(ie)+R(s) /1+h(fe) B h(ie) +R(s) /h(fe) C R(s) +1/h(fe) D 1/h(fe) Que. 19 A unit feedback system has an open-loop transfer function of G(s)=1000/s(s+10)^2 the magnitude of G(jw) in the DB at an angular frequency at w= 20 red/sec A 0dB B 10dB C 20dB D none of the above Que. 20 A linear discreate time system has the characteristic equation Z^3-0.81Z=0.the system A is stable B is marginally stable C is unstable D stability can not be assessed from the given information Que. 21 H(s)=V(s)/I(s) = s+3/(s+3)^2 .i(t) is unit step.V(t) is steady state is given by A 3/2 B 3/4 C 1 D 0 Que. 22 In case of synchro error dector,the electrical zreo position of control transformer is obtained when angular displacement between rotors is A 0 B 45degree C 90degree D 180degree Que. 23 A second order differential equation is given by d^2x/dt^2+5dx/dt+7x=7y The undamped natural freq. and damping ratio are A 1,5 B 5,7 C 1,[(sqrt)7] D [(sqrt)7],0.94 Que. 24 An amplifier has a bandwidth of 20khz and a midband gain of 50 without feedback.If a -ve feedback of 1% is applied.then bandwidth with feedback is A 13.3khz B 30khz C 10khz D 40khz Que. 25 A unity feedback system has the plan transfer function Gp (s)=1/[(s+1)(2s+1) ] an integral controller with transfer function G (s)=k/s is placed in the feedforward path the of the feedback system. the value of k such that the compensated system has an open loop gain margin of 2.5 A 3/5 B 5/3 C 2 D none of the above Que. 26 The fourier transform of the unit step function is A f(jw)=j/w B f(jw)=jw C f(jw)=1/jw D f(jw)=1/w Que. 27 The fourier transform of function f(at) is given by A f(at)=aF(w) B f(at)=2/a F(w) C f(at)=1/a F(w/a) D none Que. 28 The eigen value of the matrix A= \|0 1\| are \|1 0\| A 1,1 B -1,-1 C j,-j D 1,-1 Que. 29 the trigonometric fourier series ofa perodic function can have only A cosine term B sine term C cosine and sine term D none of these Que. 30 inverse Laplace transform of 10/(s^2)+2s+5 is A 10 (e^-t) sin2t B 5 (e^-t) sin2t C 10 (e^-t) cos2t D 5 (e^-t) cos2t Que. 31 Laplace transform of (e^-at) f(t) is A F(s) (e^-at) B F(s-a) C F(s+a) D F(s)/(s +a) Que. 32 \|Adj A\| is equal to A \|A\|^n B \|A\|^(n-1) C \|A\|^(n+1) D \|A^-1\| Que. 33 About the fourier series expansion ofa perodic function it can be said that A Even function have only a constant and cosine terms in there FS expansion B odd function have only sine terms in there FS expansion C functions with half wave symmetry contain only odd harmonics D all above the three Que. 34 the final value of [(L^-1)(2s+1)]/[(s^4)+8(s^3)+16(s^2)+s] is A infinity B 2 C 1 D 0 Que. 35 The fourier transform of a Gaussian time pulse is A uniform B A pair of impulses C Gaussian D Rayleigh Que. 36 The discrete time system described by y(n)=x(n)^2 is A causal,linear and time varying B causal,non-linear and time varying C non-causal,linear and time invarying D non-causal,non-linear and time variant Que. 37 Which one of the following transfer functions does correspond to a non-minimum phase system? A s/[(s^2)+2s+1] B (s+1)/[(s^2)+2s+1] C (s+1)/[(s^2)+2s-1 D (s-1)/[(s^2)+2s+1] Que. 38 The electromechanical closed loop control system has the following characteristic equation: [(s^3)+6K(s^2)+(K+2)s+8]=0 where K is the forward gain of the system.the condition for closed loop stability is A K=0.528 B K=2 C K=0 D K=-2528 Que. 39 Which of the following signal is/are periodic? A S(t)=cos2t+cos3t+cos5t B S(t)=exp[j8(pi)t] C S(t)=exp(-7t)sin10(pi)t D S(t)=cos2tcos4t Que. 40 A secound-order system has a transfer function given by G(s)=25/[(s^2)+8s+25] If the system,initally at rest is subjected to a unit step input at t=0,the secound peak in response will occur at A (pi) sec B (pi) /3 sec C 2(pi)/3 sec D (pi)/2 sec Post Resume:* Click here to Upload your Resume & Apply for Jobs

	IP Logged


One Stop GATE Forum : GATE AT A GLANCE : Model Test Papers