| No. |
Question |
| 1 |
A scalar field is given by f
= x2/3 + y2/3, where x and y
are the Cartesian coordinates. The derivative of f
along the line y = x directed away from the origin,
at the point (8,8) is |
| Options |
|
| Your Answer |
(Not
Answered) |
| Correct Answer |
A |
|
| 2 |
Given the discrete-time sequence x[n] = [2, 0,
-1,-3, 4, 1, -l, X(ejp) is |
| Options |
|
| Your Answer |
(Not
Answered) |
| Correct Answer |
C |
|
| 3 |
A microscope uses a micro-objective 10X,
numerical aperture 0.25 and an eyepiece of focal length of 25 mm.
The magnification of the microscope is |
| Options |
| A) 25 |
B) 50 |
| C) 100 |
D) 125 |
|
| Your Answer |
(Not
Answered) |
| Correct Answer |
C |
|
| 4 |
The output from a 633 nm He-Ne laser comes out
from the mirror with a beam diameter of lmm and diverges to the far
field. It is brought to a focus by a convex lens of focal length of
17 mm. The spot size diameter of the beam at the focal point is |
| Options |
| A) 20 m m |
B) 26 m m
|
| C) 52 m m |
D) 13 m m |
|
| Your Answer |
(Not
Answered) |
| Correct Answer |
C |
|
| 5 |
A minimal microcomputer system is constructed
using INTEL 8085 microprocessor, an 8156 RAM and an 8355 ROM. The
chip enable CE of 8355 are connected to the address line A12.
of 8085. The address of port A of the 8156 chip is |
| Options |
| A) 21H |
B) 12 H |
| C) 11H |
D) 20H |
|
| Your Answer |
(Not
Answered) |
| Correct Answer |
D |
|
| 6 |
Bilinear transformation avoids the problem of
aliasing encountered with the use of impulse-invariance through |
| Options |
| A) mapping the entire imaginary axis of the s-plane
on to the unit circle in the z-plane |
B) pre-filtering the input signal to impose
bank-limitedness |
| C) mapping zeros of the left half of the s-plane
inside the unit circle in the z-plane |
D) up-sampling the input signal so that the
bandwidth is reduced |
|
| Your Answer |
(Not
Answered) |
| Correct Answer |
A |
|
| 7 |
Two identical 2-port networks with y-parameters
y11 = -y12 = -y21= y22
I S are connected in cascade. The overall y-parameters will
satisfy the condition |
| Options |
| A) y11 = I S |
B) y12 = -
S |
| C) y21 = -2 S |
D) y22 = I S |
|
| Your Answer |
(Not
Answered) |
| Correct Answer |
A |
|
| 8 |
A temperature sensor having a range of 0-100°
C has a worst case accuracy specification of ± 1.0% of true value
or ± 0.3% of full scale, whichever is higher. The sensitivity of
the sensor is experimentally obtained by taking its readings at true
temperatures 25° C and 75° C. The maximum error in sensitivity,
expressed as percentage of its ideal value is |
| Options |
| A) ± 0.105% |
B) ± 0.21%
|
| C) ± 1.05% |
D) ± 2.1% |
|
| Your Answer |
(Not
Answered) |
| Correct Answer |
C |
|
| 9 |
A quartz crystal (Young’s modulus, E=9 x 1010 N/m2)
with piezo-electric properties has diameter of 10mm and
thickness of 2 MM. Its voltage sensitivity constant is 4500 V/mm.
If the voltage output is 127.3V, the applied load is approximately
|
| Options |
| A)
100 N
|
B)
200 N
|
| C)
127.3 N
|
D)
6.4 N
|
|
| Your Answer |
(Not
Answered) |
| Correct Answer |
A |
|
| 10 |
The transfer function of a PID Controller is
given by G(s) = 4 (1 +
+0.5s as w tends to infinity |
| Options |
| A) magnitude of G(jw)
tends to zero and phase angle of G(jw)
tends to zero |
B) magnitude of G(jw)
tends to infinity and phase angle of G(jw)
tends to zero |
| C) magnitude tends of G(jw)
to infinity and phase angle of G(jw)
tends to –90° |
D) magnitude tends of G(jw)
to zero and phase angle of G(jw)
tends to +90° |
|
| Your Answer |
(Not
Answered) |
| Correct Answer |
B |
|
| 11 |
An oscilloscope screen displays a line inclined
at 45°. Its Y-input is a sine wave of frequency f then the X-input
should be
|
| Options |
| A) sine wave of frequency f and 0° phase shift
with the Y-input |
B) sine wave of frequency f and 45° phase shift
with the Y-input
|
| C) sine wave of frequency f and 90° phase shift
with the Y-input |
D) saw-tooth wave of frequency f |
|
| Your Answer |
(Right
Answer) |
|
| 12 |
If the Fourier transform of x[n] is X(ejw)
then the Fourier transform of (-l)n x[n] is |
| Options |
| A) (-j)w X(ejw) |
B) (-l)w X(ejw)
|
C) X(e(j(w -p))
|
D)
(X(ejw))
|
|
| Your Answer |
(Not
Answered) |
| Correct Answer |
C |
|
| 13 |
One method of measuring the radius of an arc
(r) is to allow a roller of radius (r) to oscillate to and fro on
the arc and measure the average time per oscillation, T seconds .
The roller will then have a linear acceleration of 2g/3 where g is
acceleration due to gravity in such an experiment, the value of
radius of arc can be found from the expression: |
| Options |
| A) (T2g/6p2)+r |
B) (T2g/6p2)-r |
| C) (T2g/6p2) |
D) (6r2/T2g) |
|
| Your Answer |
(Not
Answered) |
| Correct Answer |
A |
|
| 14 |
The following terms used in the context of an
instrument are numbered as shown :
(1) accuracy, (2) sensitivity, (3) precision and (4) resolution
Match these with their possible definitions listed below
P. Repeatability of readings on successive observations
Q. Smallest perceptible change in the output
R. Deviation of the output from the true value
S. Minimum value of the input from the true value
T. Ratio of the change in the instrument reading to the change in
the measured variable. |
| Options |
| A) 1-P, 2-Q, 3-R, 4-S |
B) 1-S, 2-Q, 3-P, 4-T |
| C) 1-R, 2-T, 3-P, 4-Q |
D) 1-T, 2-Q, 3-P, 4-R |
|
| Your Answer |
(Not
Answered) |
| Correct Answer |
C |
|
| 15 |
Which one of the following is derived unit (NOT
a basic unit) in SI system?
|
| Options |
| A)
Candela
|
B)
coulomb
|
| C) Kelvin |
D) mol.
|
|
| Your Answer |
(Not
Answered) |
| Correct Answer |
C |
|
| 16 |
An amplifier of gain 10, with a gain-bandwidth
product of 1 MHz and slew rate of 0.1 V/ms
is fed with a10 KHz symmetrical square wave of ± 1 V amplitude.
Its output will be |
| Options |
| A) ± 10 V amplitude square wave |
B) ± 2.5 V amplitude square wave |
| C) ± 10 Vamplitude triangular wave |
D) ± 2.5 V amlitude triangular wave |
|
| Your Answer |
(Not
Answered) |
| Correct Answer |
C |
|
| 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)
|
|
| Your Answer |
(Not
Answered) |
| Correct Answer |
C |
|
| 18 |
The sequence x[n] whose z-transform is X[z] = e(1/Z) is
|
| Options |
| A)
u[n] |
B)
u[-n] |
| C) (-1)n
u[n] |
D)
u[-n-1] |
|
| Your Answer |
(Right
Answer) |
|
| 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 |
|
| Your Answer |
(Not
Answered) |
| 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 |
|
| Your Answer |
(Not
Answered) |
| Correct Answer |
C |
|