GATE PH format:nat PYQs & Answers — Page 6

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Questions 51–60 of 182. Imported answers require independent review unless marked reviewed.

Topic practice 182 questionsPage 6 of 19

Two identical, non-interacting

atoms are distributed among 4 different non-degenerate energy levels. The probability that they occupy different energy levels is

. Similarly, two

atoms are distributed among 4 different non-degenerate energy levels, and the probability that they occupy different levels is

. What is the value of

(rounded off to one decimal place)?

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Two identical bodies kept at temperatures 800 K and 200 K act as the hot and the cold reservoirs of an ideal heat engine, respectively. Assume that their heat capacity (

) in Joules/K is independent of temperature and that they do not undergo any phase change. Then, the maximum work that can be obtained from the heat engine is

Joules. What is the value of

(in integer)?

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Potassium metal has electron concentration of

and the corresponding density of states at Fermi level is

. If the Pauli paramagnetic susceptibility of Potassium is

in standard scientific form, then the value of

(an integer) is ________ (Magnetic moment of electron is

; permeability of free space is

)

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A power supply has internal resistance

and open load voltage

. When a load resistance

is connected to the power supply, a voltage drop of

is measured across the load. The value of

is ________ (Round off to the nearest integer)

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Electric field is measured along the axis of a uniformly charged disc of radius 25 cm. At a distance

from the centre, the field differs by 10% from that of an infinite plane having the same charge density. The value of

is ______ cm. (Round off to one decimal place)

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In a solid, a Raman line observed at

has intensity of Stokes line four times that of the anti-Stokes line. The temperature of the sample is ______ K. (Round off to the nearest integer) (

)

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An electromagnetic pulse has a pulse width of

. The uncertainty in the momentum of the corresponding photon is of the order of

, where

is an integer. The value of

is __________ (speed of light

)

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The wavefunction of a particle in a one-dimensional infinite well of size

at a certain time is

. Probability of finding the particle in

state at that time is ______% (Round off to the nearest integer)

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A spectrometer is used to detect plasma oscillations in a sample. The spectrometer can work in the range of

. The minimum carrier concentration that can be detected by using this spectrometer is

. The value of

is __________ (Round off to two decimal places)

(Charge of an electron

, mass of an electron

and

)

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The minimum number of two-input NAND gates required to implement the following Boolean expression is ____________

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GATE PH format:nat PYQs

Question 64

Question 65

Question 29

Question 30

Question 31

Question 32

Question 33

Question 34

Question 35

Question 59