Electronics and Communication Gate 2015 Set-2 Questions with Answer

Ques 53 GATE 2015 SET-2

An air-filled rectangular waveguide of internal dimensions a cm × b cm (a > b) has a cutoff frequency of 6 GHz for the dominant TE₁₀ mode. For the same waveguide, if the cutoff frequency of the TM₁₁ mode is 15 GHz, the cutoff frequency of the TE₀₁ mode in GHz is __________.

Ques 54 GATE 2015 SET-2

Two half-wave dipole antennas placed as shown in the figure are excited with sinusoidally varying currents of frequency 3 MHz and phase shift of π/2 between them (the element at the origin leads in phase). If the maximum radiated E-field at the point P in the x-y plane occurs at an azimuthal angle of 60°, the distance d (in meters) between the antennas is __________.

Ques 55 GATE 2015 SET-2

The electric field of a plane wave propagating in a lossless non-magnetic medium is given by the following expression
E(z,t) = a_x 5 cos(2π × 10⁹ t + β z) + a_y 3 cos(2π × 10⁹ t + β z − ^π⁄₂)
The type of the polarization is

Ques 56 GATE 2015 SET-2

Choose the appropriate word/phrase, out of the four options given below, to complete the following sentence:
Dhoni, as well as the other team members of Indian team, __________ present on the occasion.

Ques 57 GATE 2015 SET-2

Choose the word most similar in meaning to the given word:
Awkward

Ques 58 GATE 2015 SET-2

What is the adverb for the given word below?
Misogynous

Ques 59 GATE 2015 SET-2

An electric bus has onboard instruments that report the total electricity consumed since the start of the trip as well as the total distance covered. During a single day of operation, the bus travels on stretches M, N, O, and P, in that order. The cumulative distances travelled and the corresponding electricity consumption are shown in the table below:

Ques 60 GATE 2015 SET-2

Ram and Ramesh appeared in an interview for two vacancies in the same department. The probability of Ram's selection is 1/6 and that of Ramesh is 1/8. What is the probability that only one of them will be selected?

Ques 61 GATE 2015 SET-2

In the following sentence certain parts are underlined and marked P, Q, and R. One of the parts may contain certain error or may not be acceptable in standard written communication. Select the part containing an error. Choose D as your answer if there is no error.
The student corrected all the errors that the instructor marked on the answer book.

Ques 62 GATE 2015 SET-2

Given below are two statements followed by two conclusions. Assuming these statements to be true, decide which one logically follows.
Statements:
I. All film stars are playback singers.
II. All film directors are film stars.
Conclusions:
I. All film directors are playback singers.
II. Some film stars are film directors.

Ques 63 GATE 2015 SET-2

A tiger is 50 leaps of its own behind a deer. The tiger takes 5 leaps per minute to the deer's 4. If the tiger and the deer cover 8 metre and 5 metre per leap respectively, what distance in metres will the tiger have to run before it catches the deer?

Ques 64 GATE 2015 SET-2

If a²+b²+c²=1, then ab+bc+ac lies in the interval

Ques 65 GATE 2015 SET-2

Lamenting the gradual sidelining of the arts in school curricula, a group of prominent artists wrote to the Chief Minister last year, asking him to allocate more funds to support arts education in schools. However, no such increase has been announced in this year's Budget. The artists expressed their deep anguish at their request not being approved, but many of them remain optimistic about funding in the future.
Which of the statement(s) below is/are logically valid and can be inferred from the above statements?
(i) The artists expected funding for the arts to increase this year.
(ii) The Chief Minister was receptive to the idea of increasing funding for the arts.
(iii) The Chief Minister is a prominent artist.
(iv) Schools are giving less importance to arts education nowadays.