GATE PH year:2019 PYQs & Answers — Page 5

Questions 41–50 of 65. Imported answers require independent review unless marked reviewed.

A 3-bit analog-to-digital converter is designed to digitize analog signals ranging from 0 V to 10 V. For this converter, the binary output corresponding to an input of 6 V is

Your answerChoose one option.

011

101

100

010

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The Hamiltonian operator for a two-level quantum system is

. If the state of the system at

is given by

then

at a later time

Your answerChoose one option.

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A particle of mass

moves in a lattice along the

-axis in a periodic potential

with periodicity

. The corresponding Brillouin zone extends from

with the two

-points being equivalent. If a weak force

in the

-direction is applied to the particle, it starts a periodic motion with time period

. Using the equation of motion

for a particle moving in a band, where

is the crystal momentum of the particle, the period

is found to be (

is Planck constant)

Your answerChoose one option.

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Consider a potential barrier

of the form:

where

is a constant. For particles of energy

incident on this barrier from the left, which of the following schematic diagrams best represents the probability density

as a function of

Your answerChoose one option.

Diagram for Physics question 34 (figure 2)

Diagram for Physics question 34 (figure 3)

Diagram for Physics question 34 (figure 4)

Diagram for Physics question 34 (figure 5)

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The spin-orbit interaction term of an electron moving in a central field is written as

, where

is the radial distance of the electron from the origin. If an electron moves inside a uniformly charged sphere, then

Your answerChoose one option.

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For the following circuit, the correct logic values for the entries

and

in the truth table are

G	B	P	C	X	Y
1	1	0	0	0	1
0	0	1	0
1	0	0	1	0	1

Your answerChoose one option.

1 and 0

0 and 0

0 and 1

1 and 1

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In a set of

successive polarizers, the

polarizer makes an angle

with the vertical. A vertically polarized light beam of intensity

is incident on two such sets with

and

, where

. Let the intensity of light beams coming out be

and

, respectively. Which of the following statements is correct about the two outgoing beams?

Your answerChoose one option.

; the polarization in each case is vertical

; the polarization in each case is horizontal

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A ball bouncing off a rigid floor is described by the potential energy function

Which of the following schematic diagrams best represents the phase space plot of the ball?

Your answerChoose one option.

Diagram for Physics question 38 (figure 2)

Diagram for Physics question 38 (figure 3)

Diagram for Physics question 38 (figure 4)

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An infinitely long wire parallel to the

-axis is kept at

and carries a current

in the positive

direction above a superconductor filling the region

(see figure).

The magnetic field

inside the superconductor is zero so that the field just outside the superconductor is parallel to its surface. The magnetic field due to this configuration at a point

Your answerChoose one option.

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The vector potential inside a long solenoid, with

turns per unit length and carrying current

, written in cylindrical coordinates is

. If the term

, where

is added to

, the magnetic field remains the same if

Your answerChoose one option.

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GATE PH year:2019 PYQs

Question 31

Question 32

Question 33

Question 34

Question 35

Question 36

Question 37

Question 38

Question 39

Question 40