Electronics and Communication Gate 2015 Set-3 Questions with Answer

Ques 14 GATE 2015 SET-3


A network is described by the state model as
1 = 2x1 - x2 + 3u
2 = -4x2 - u
y = 3x1 - 2x2
The transfer function H(s) (= Y(s)/U(s)) is

A

(11s+35)/[(s-2)(s+4)]

B

(11s-35)/[(s-2)(s+4)]

C

(11s+38)/[(s-2)(s+4)]

D

(11s-38)/[(s-2)(s+4)]


(a) is the correct answer.

Ques 15 GATE 2015 SET-3


The position control of a DC servo-motor is given in the figure. The values of the parameters are KT=1 N-m/A, Ra=1Ω, La=0.1H, J=5kg-m2, B=1 N-m/(rad/sec) and Kb=1V/(rad/sec). The steady-state position response (in radians) due to unit impulse disturbance torque Td is __________.


(-0.5) is the correct answer.

Ques 16 GATE 2015 SET-3


For the system shown in the figure, s = -2.75 lies on the root locus if K is __________.


(0.3) is the correct answer.

Ques 17 GATE 2015 SET-3


The characteristic equation of an LTI system is given by F(s) = s5 + 2s4 + 3s3 + 6s2 - 4s - 8 = 0. The number of roots that lie strictly in the left half s-plane is __________.


(2) is the correct answer.

Ques 18 GATE 2015 SET-3


The circuit shown consists of J-K flip-flops, each with an active low asynchronous reset (Rd input). The counter corresponding to this circuit is

A

a modulo-5 binary up counter

B

a modulo-6 binary down counter

C

a modulo-5 binary down counter

D

a modulo-6 binary up counter


(d) is the correct answer.

Ques 19 GATE 2015 SET-3


In the circuit shown, diodes D1, D2 and D3 are ideal, and the inputs E1, E2 and E3 are "0 V" for logic '0' and "10 V" for logic '1'. What logic gate does the circuit represent?

A

3-input OR gate

B

3-input NOR gate

C

3-input AND gate

D

3-input XOR gate


(c) is the correct answer.

Ques 20 GATE 2015 SET-3


Which one of the following 8085 microprocessor programs correctly calculates the product of two 8-bit numbers stored in registers B and C?

A

MVI A, 00H
JNZ LOOP
CMP C
LOOP DCR B
HLT

B

MVI A, 00H
LOOP ADD C
DCR B
JNZ LOOP
HLT

C

MVI A, 00H
CMP C
LOOP DCR B
JNZ LOOP
HLT

D

MVI A, 00H
ADD C
JNZ LOOP
LOOP INR B
HLT


(b) is the correct answer.

Ques 21 GATE 2015 SET-3


A three bit pseudo random number generator is shown. Initially the value of output Y ≡ Y2 Y1 Y0 is set to 111. The value of output Y after three clock cycles is

A

000

B

001

C

010

D

100


(d) is the correct answer.

Ques 22 GATE 2015 SET-3


A universal logic gate can implement any Boolean function by connecting sufficient number of them appropriately. Three gates are shown.

Which one of the following statements is TRUE?

A

Gate 1 is a universal gate.

B

Gate 2 is a universal gate.

C

Gate 3 is a universal gate.

D

None of the gates shown is a universal gate.


(c) is the correct answer.

Ques 23 GATE 2015 SET-3


A universal logic gate can implement any Boolean function by connecting sufficient number of them appropriately. Three gates are shown.

Which one of the following statements is TRUE?

A

Gate 1 is a universal gate.

B

Gate 2 is a universal gate.

C

Gate 3 is a universal gate.

D

None of the gates shown is a universal gate.


(c) is the correct answer.

Ques 24 GATE 2015 SET-3


An SR latch is implemented using TTL gates as shown in the figure. The set and reset pulse inputs are provided using the push-button switches. It is observed that the circuit fails to work as desired. The SR latch can be made functional by changing

A

NOR gates to NAND gates

B

inverters to buffers

C

NOR gates to NAND gates and inverters to buffers

D

5 V to ground


(d) is the correct answer.

Ques 25 GATE 2015 SET-3


The directivity of an antenna array can be increased by adding more antenna elements, as a larger number of elements

A

improves the radiation efficiency

B

increases the effective area of the antenna

C

results in a better impedance matching

D

allows more power to be transmitted by the antenna


(b) is the correct answer.

Ques 26 GATE 2015 SET-3


A coaxial cable is made of two brass conductors. The spacing between the conductors is filled with Teflon (εr=2.1, tan δ=0). Which one of the following circuits can represent the lumped element model of a small piece of this cable having length Δz?

A

B

C

D


(b) is the correct answer.

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