No. 
Question 
1 
A scalar field is given by f = x^{2/3} +
y^{2/3}, 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 

Correct Answer 
A 

2 
Given the discretetime sequence x[n] = [2, 0,
1,3, 4, 1, l, X(e^{jp}) is 
Options 

Correct Answer 
C 

3 
A microscope uses a microobjective 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 

Correct Answer 
C 

4 
The output from a 633 nm HeNe 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 

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 A_{12}. of
8085. The address of port A of the 8156 chip is 
Options 
A) 21H 
B) 12 H 
C) 11H 
D) 20H 

Correct Answer 
D 

6 
Bilinear transformation avoids the problem of
aliasing encountered with the use of impulseinvariance through 
Options 
A) mapping the entire imaginary axis of the splane
on to the unit circle in the zplane 
B) prefiltering the input signal to impose
banklimitedness 
C) mapping zeros of the left half of the splane
inside the unit circle in the zplane 
D) upsampling the input signal so that the bandwidth
is reduced 

Correct Answer 
A 

7 
Two identical 2port networks with yparameters y_{11}
= y_{12} = y_{21}= y_{22} I S are connected
in cascade. The overall yparameters will satisfy the condition 
Options 
A) y_{11} = I S 
B) y_{12} = 
S 
C) y_{21} = 2 S 
D) y_{22} = I S 

Correct Answer 
A 

8 
A temperature sensor having a range of 0100° 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% 

Correct Answer 
C 

9 
A quartz crystal (Young’s modulus, E=9 x 10^{10} N/m^{2})
with piezoelectric 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 

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° 

Correct Answer 
B 

11 
An oscilloscope screen displays a line inclined
at 45°. Its Yinput is a sine wave of frequency f then the Xinput
should be

Options 
A) sine wave of frequency f and 0° phase shift with
the Yinput 
B) sine wave of frequency f and 45° phase shift with
the Yinput

C) sine wave of frequency f and 90° phase shift with
the Yinput 
D) sawtooth wave of frequency f 


12 
If the Fourier transform of x[n] is X(e^{jw})
then the Fourier transform of (l)^{n} x[n] is 
Options 
A) (j)^{w }X(e^{jw}) 
B) (l)^{w }X(e^{jw})

C) X(e^{(j(w p)})

D)
(X(e^{jw}))


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) (T^{2}g/6p^{2})+r 
B) (T^{2}g/6p^{2})r 
C) (T^{2}g/6p^{2}) 
D) (6r^{2}/T^{2}g) 

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) 1P, 2Q, 3R, 4S 
B) 1S, 2Q, 3P, 4T 
C) 1R, 2T, 3P, 4Q 
D) 1T, 2Q, 3P, 4R 

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.


Correct Answer 
C 

16 
An amplifier of gain 10, with a gainbandwidth
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 

Correct Answer 
C 

17 
V_{1 }and V_{2} are the input
voltages of an instrumentation amplifier. The output of the
instrumentation amplifier is found to be 100(V_{1} – V_{2})
+ 10^{4} (V_{1} + V_{2}). 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 ztransform is X[z] = e^{(1/Z)} is 
Options 
A)
u[n] 
B)
u[n] 
C) (1)^{n }
u[n] 
D)
u[n1] 


19 
The time taken by an ionized atom, of mass m kg
and charge e Coulombs, pulsed into a fieldfree region with V volts, to
reach a detector L meters away is 
Options 

Correct Answer 
B 

20 
The clock frequency of a timercounter is 10MHz.
The timercounter is used in the period mode and the input to the
timercounter is a square wave of frequency 2 kHz. The display of the
timercounter will show a value 
Options 
A) 200 
B) 2000 
C) 5000 
D) 50000 

Correct Answer 
C 