| 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 |
|
|
|
| Correct Answer |
A |
|
| 2 |
Given the discrete-time sequence x[n] = [2, 0,
-1,-3, 4, 1, -l, X(ejp) is |
| Options |
|
|
|
| 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 |
|
|
|
| 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 |
|
|
|
| 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 |
|
|
|
| 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 |
|
|
|
| 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 |
|
|
|
| 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% |
|
|
|
| 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
|
|
|
|
| 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 |
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Topic: Instrumentation Engg GATE sample paper
Topic: Instrumentation Engg GATE sample paper
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