SAMPLE PAPER 3
These are the sample papers of Gate.These are given here for the benefit of the students preparing for GATE.You can view them here and practice for GATE
Questions And Answers
No. Question
1 A surface height profile is given by, y = a + b sin 2p x l (0x l) where a, b, l are constants and x is the horizontal coordinate. The roughness of the surface, based on absolute deviation, is
Options
A) 2b p B) 4b p
C) 6b p D) 8b p
Correct Answer A
2 For N-bit Successive Approximation ADCs, other parameters such as clock frequency remaining constant, the conversion time is proportional to
Options
A) N2 B) Ö N
C) log N D) N
Correct Answer B
3 The radius of a sphere is given as (40.0 ± 0.5)mm. The estimated error in its mass is:
Options
A) ± 3.75% B) ± 1.25%
C) ± 12.5% D) ± 0/125%
Correct Answer B
4 A zero error in a vernier caliper is termed as
Options
A) accidental error B) interference error
C) systematic error
D) random error
Correct Answer B
5 Given the discrete-time sequence x[n] = [2, 0, -1,-3, 4, 1, -l, X(ejp) is
Options
A) 8 B) 6p
C) 8p D) 6
Correct Answer C
6 Linear variable differential transformer has
Options
A) two primary coils connected in phase and a secondary coil B) two primary coils connected in opposition and a secondary coil
C) one primary coil and two secondary coils connected in phase D) one primary coil and two secondary coils connected in opposition
Correct Answer D
7 Position sensor units having a constant sensitivity of lV/mm are used for feedback in number of position controlled system units, each having an overall forward path dc gain of 50. If the random dc bias errors in the outputs of various sensor units are characterized as normal with mean 0 and standard deviation (s) 0.01V, for a constant set point of 5V, the true position outputs of the various controlled system units can be characterized as normal with
Options
A) mean of 5.0, s of 0.01
B) mean of 0.0, s of 0.01
C) mean of 5.0, s of 0.0098
D) mean of 4.902, s of 0.0098
Correct Answer C
8 The refractive index of the core of an optical fiber is n1and that of the cladding is nf If (n1 – n2) = Dn, then the fiber can be made single mode with numerical aperture unchanged by
Options
A) reducing core diameter and increasing Dn B) reducing both core diameter and Dn
C) reducing core diameter alone
D) reducing Dn alone
Correct Answer D
9 For a suppressed carrier amplitude modulator (AM-SC) system, the carrier and the modulating inputs are xc (t) = cos wc t and xm (t) = 0.5 sin wm t, respectively. The output of the system is proportional to
Options
A) sin (wc + wm) t – sin (wc - wm) t B) sin (wc + wm) t + cos (wc -wm) t
C) (1 + 0.5 sin wm t) cos wc t D) (1- 0.5 sin wm t) cos wc t
Correct Answer B
10 The 3-dB cut-off frequency of a first analog high pas filter is wc the output will have a phase shift of
Options
A) -p 2 B) -p 4
C) p 2 D) p 2
Correct Answer B
11 In an INTEL 8085 microprocessor the ADDRESS-DATA bus and the DATA bus are
Options
A) Non multiplexed B) Multiplexed
C) Duplicated D) Same as CONTROL bus
Correct Answer B
12 A 3 ½ digit nultimeter has an accuracy specification of (± 0.5% of reading ± 5 counts). If the meter reads 2.00 mA on a full scale of 20mA, the worst-case error in the reading is
Options
A) 0.5% B) 2.5%
C) 3.0% D) 5.5%
Correct Answer C
13 The measurements of a source voltage are 5.9V, 5.7V and 6.1V. The sample standard deviation of the readings is
Options
A) 0.013 B) 0.04
C) 0.115 D) 0.2
Correct Answer D
14 Consider the following systems:
System 2: G(s) = 1 2(2s+1)
System 1: G(s) = 1 2(5s+1)
The true statement regarding the system is
Options
A) Bandwidth of system 1 is greater than the bandwidth of system 2
B) Bandwidth of system 1 is lower than the bandwidth of system 2
C) Bandwidth of both the systems are the same
D) Bandwidth of both the systems are infinite
Correct Answer A
15 The transfer function of a system is A s2 + w2 The steady-state gain of the system to a unit-step input is
Options
A) A w2 B) 0
C) ¥ D) not possible to be determined
Correct Answer C
16 In 8085 microprocessor, CY flag may be set by the instruction
Options
A) SUB B) INX
C) CMA D) ANA
Correct Answer A
17 V1 and V2 are the input voltages of an instrumentation amplifier. The output of the instrumentation amplifier is found to be 100(V1 – V2) + 10-4 (V1 + V2). The gain and the common mode rejection ratio (CMRR) of the instrumentation amplifier respectively are
Options
A) (50, 60 dB)
B) (50, 120 dB)
C) (100, 60dB)
D) (100, 120 dB)
Correct Answer C
18 The sequence x[n] whose z-transform is X[z] = e(1/Z) is
Options
A) 1 n! u[n] B) 1 -n! u[-n]
C) (-1)n 1 n! u[n] D) 1 -(n+1)! u[-n-1]
19 The time taken by an ionized atom, of mass m kg and charge e Coulombs, pulsed into a field-free region with V volts, to reach a detector L meters away is
Options
A) 1 L Ö m 2eV B)
L
Ö m 2eV
C) m Ö L 2eV D) 2 L Ö m 2eV
Correct Answer B
20 The clock frequency of a timer-counter is 10MHz. The timer-counter is used in the period mode and the input to the timer-counter is a square wave of frequency 2 kHz. The display of the timer-counter will show a value
Options
A) 200 B) 2000
C) 5000 D) 50000
Correct Answer C
