GATE PH year:2020 PYQs & Answers — Page 7

Questions 61–65 of 65. Imported answers require independent review unless marked reviewed.

Topic practice 65 questionsPage 7 of 7

A hydrogen atom is in an orbital angular momentum state

. If

lies on a cone which makes a half angle

with respect to the z-axis, the value of

is _____.

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In the center of mass frame, two protons each having energy 7000 GeV, collide to produce protons and anti-protons. The maximum number of anti-protons produced is _____.

(Assume the proton mass to be 1 GeV/

)

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Consider a gas of hydrogen atoms in the atmosphere of the Sun where the temperature is 5800 K. If a sample from this atmosphere contains

of hydrogen atoms in the ground state, the number of hydrogen atoms in the first excited state is approximately

, where

is an integer. The value of

is _____.

(Boltzmann constant:

eV/K)

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For a gas of non-interacting particles, the probability that a particle has speed

in the interval

is given by

is the energy of a particle, then the maximum in the corresponding energy distribution in units of

occurs at _____ (rounded off to one decimal place).

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The Planck’s energy density distribution is given by

. At long wavelengths, the energy density of photons in thermal equilibrium with a cavity at temperature

varies as

, where

is _____.

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GATE PH year:2020 PYQs

Question 51

Question 52

Question 53

Question 54

Question 55