# EC GATE 2010 (Test 3)

Tag: ec gate 2010
Q.1
Choose the most appropriate word from the options given below to complete the following sentence; If we manage to ____ our natural resources, we would leave a better planet for our children.
A. uphold
B. restrain
C. Cherish
D. conserve
Explaination / Solution:
No Explaination.

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Topic: Arithmetic Tag: EC GATE 2010
Q.2
5 skilled workers can build a wall in 20 days; 8 semi-killed worker can build a wall in 25 days; 10 unskilled workers can build a wall in 30 days. If a team has 2 killed, 6 semi-killed and 5 unskilled workers, how long will it take to build the wall
A. 20 days
B. 18 days
C. 16 days
D. 15 days
Explaination / Solution:
No Explaination.

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Q.3
In the circuit shown, the device connected Y5 can have address in the range

A. 2000-20FF
B. 2D00-2DFF
C. 2E00-2EFF
D. FD00-FDFF
Explaination / Solution:

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Q.4
Consider the common emitter amplifier shown below with the following circuit parameters:

The resistance seen by the source vs is
A. 258 Ω
B. 1258 Ω
C. 93 kΩ
D.
Explaination / Solution:

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Q.5
For a N -point FET algorithm N = 2m which one of the following statements is TRUE ?
A. It is not possible to construct a signal flow graph with both input and output in normal order
B. The number of butterflies in the mth stage in N/m
C. In-place computation requires storage of only 2N data
D. Computation of a butterfly requires only one complex multiplication.
Explaination / Solution:

For an N-point FET algorithm butterfly operates on one pair of samples and involves two complex addition and one complex multiplication.

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Q.6
Consider an angle modulated signal  The average power of x(t) is
A. 10 W
B. 18 W
C. 20 W
D. 28 W
Explaination / Solution:
No Explaination.

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Q.7
In the circuit shown, all the transmission line sections are lossless. The Voltage Standing Wave Ration(VSWR) on the 60 Ω line is

A. 1.00
B. 1.64
C. 2.50
D. 3.00
Explaination / Solution:

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Q.8
For the asymptotic Bode magnitude plot shown below, the system transfer function can be

A.
B.
C.
D.
Explaination / Solution:

Initial slope is zero, so K = 1
At corner frequency 𝜔1 = 0.5 rad/ sec, slope increases by +20 dB/decade, so there is a zero in the transfer function at 𝜔1
At corner frequency 𝜔2 = 10 rad/ sec, slope decreases by -20 dB/decade and becomes zero, so there is a pole in transfer function at 𝜔2
Transfer function

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Q.9
Assign output of each integrator by a state variable

The transfer function of the system is
A.
B.
C.
D.
Explaination / Solution:

By masson’s gain formula

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Q.10
A plane wave having the electric field components  V/m and traveling in free space is incident normally on a lossless medium with which occupies the region y  0. The reflected magnetic field component is given by
A.
B.
C.
D.
Explaination / Solution:

In the given problem

Reflection coefficient

negative So magnetic field component does not change its direction Direction of incident magnetic field

So, reflection magnetic field component

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