GATE EC 2020: Semi Syllabus Quiz 2 (App update required to attempt this test) for ESE & GATE EC Exams

Question 1

log tan1^o + log tan2^o + ...... + log tan89^o is .........

Question 2

The amplitude of a random signal is uniformly distributed between -5 V and 5 V.

If the signal to quantization noise ratio required in uniformly quantizing the signal is 43.5 dB, the step size (in V) of the quantization is approximately

Question 3

Find the next term in the sequence: 13M, 17Q, 19S, ___

Question 4

The amplitude of a random signal is uniformly distributed between -5 V and 5 V.

If the positivevalues of the signal are uniformly quantized with a step size of 0.05 V, and the negative values are uniformly quantized with a step size of 0.1 V, the resulting signal to quantization noise ratio is approximately

Question 5

In a delta modulation scheme the number of samples per second is 16K. Then the required minimum step-size to trail the signal y(t) if there should not be slope overload is 2^x. Assume the symbols used have their usual meaning and y(t) is given as

Find the value of x.

Question 6

A lossy dielectric is having conduction current density of J_c= 0.04sin10⁸t(A/m²). Determine displacement current density if σ= 10³S/m, and

.

Question 7

A plane wave propagating in free space has electric field of 750mV/m. Find average power (in μW) through a square area of 12 cm on a side perpendicular to the direction of propagation.

Question 8

A discrete memoryless source with source alphabet

and source statistics {0.7, 0.15, 0.15}
Calculate the entropy of source and the entropy of second-order extension of the source.

Question 9

In an amplitude modulated signal the carrier wave used is sinusoidal of frequency 1 MHz. The message signal used for modulation is a symmetrical square wave having a period of 1000

. Which of the following will not be present in the FM signal?

Question 10

A rectangular waveguide having

mode as dominant mode is having a cutoff frequency of

. If the dimensions of the waveguide are related by

, where

is the inner broad wall dimension, then find the cutoff frequency of

mode. (in GHz)

Question 11

The probability density function of the amplitude of a message signal is shown in figure. If the samples of this message signal are applied to a 32 level mid – rise uniform quantizer, then the resultant signal to quantization
noise ratio will be

Question 12

Identify the pair out of the given options which has a similar relationship as the pair of words SQUANDER: MONEY

Question 13

A firm producing air purifiers sold 200 units in 2012. The following pie chart presents the share of raw material, labour, energy, plant & machinery, and transportation costs in the total manufacturing cost of the firm in 2012. The expenditure on labour in 2012 is Rs. 4,50,000. In 2013, the raw material expenses increased by 30% and all other expenses increased by 20%. If the company registered a profit of Rs. 10 lakhs in 2012, at what price (in Rs.) was each air purifier sold?

Question 14

In the sentence that follows, two words or phrases have been highlighted. One of them or both of them or none of them may have an error. Identify the option containing a pair of words/phrases that will make the sentence most meaningful.
While the company make great strides on the environment front, it has updated its HR policies.

Question 15

If directivity of antenna is 6dB, and antenna efficiency is 80%, then determine the gain (in dB) of the antenna.

Question 16

Calculate the characteristic impedance Z_o (in k

)for the following line parameters:

R=10Ω/km , G=10^-6Ʊ/km, L=1H/km, C= 0.1μF/km and frequency is 1kHz.

Question 17

The transmitting and receiving antennas are separated by a distance of 200

and have directive gains of 25dB and 18dB, respectively. If 5 mW of power is to be received, the minimum transmitted power is ___(inWatts)

Question 18

Which of the phrases given below should be placed in the blank space so as to get a meaningful and grammatically correct sentence?
Although information technology has entered the homes, offices and hearts of many Indian citizens, ______.

Question 19

In the following question, there is a related pair of words in capital letters. Four pairs of words or phrases follow this capitalized pair. Select the pair that best expresses a relationship similar to the one expressed in the original pair.
IMPLICATE: INCRIMINATION

Question 20

A lossless line has a standing wave ratio of 4. The R_o is 150Ω and the maximum voltage measured on the line is 135 V. Find the power (in Watt) being delivered to the load.