GATE PH year:2017 PYQs & Answers — Page 5

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

Topic practice 65 questionsPage 5 of 7

for the ground state of the

nucleus is

Your answerChoose one option.

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A uniform solid cylinder is released on a horizontal surface with speed 5 m/s without any rotation (slipping without rolling). The cylinder eventually starts rolling without slipping. If the mass and radius of the cylinder are 10 gm and 1 cm respectively, the final linear velocity of the cylinder is ________ m/s. (up to two decimal places).

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The energy density and pressure of a photon gas are given by

and

, where

is the temperature and

is the radiation constant. The entropy per unit volume is given by

. The value of

is ________. (up to two decimal places).

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Which one of the following cases of diatomic molecules is Raman, infrared, and NMR active?

Your answerChoose one option.

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The

decays at rest to

and

. Assuming the neutrino to be massless, the momentum of the neutrino is ________ MeV/c. (up to two decimal places) (

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Using Hund’s rule, the total angular momentum quantum number

for the electronic ground state of the nitrogen atom is

Your answerChoose one option.

1/2

3/2

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Which one of the following operators is Hermitian?

Your answerChoose one option.

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The real space primitive lattice vectors are

and

. The reciprocal space unit vectors

and

for this lattice are, respectively

Your answerChoose one option.

and

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Consider two particles and two non-degenerate quantum levels 1 and 2. Level 1 always contains a particle. Hence, what is the probability that level 2 also contains a particle for each of the two cases: (i) when the two particles are distinguishable and (ii) when the two particles are bosons?

Your answerChoose one option.

(i) 1/2 and (ii) 1/3

(i) 1/2 and (ii) 1/2

(i) 2/3 and (ii) 1/2

(i) 1 and (ii) 0

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A person weighs

at Earth's north pole and

at the equator. Treating the Earth as a perfect sphere of radius 6400 km, the value

is ________. (up to two decimal places). (Take

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GATE PH year:2017 PYQs

Question 41

Question 42

Question 43

Question 44

Question 45

Question 46

Question 47

Question 48

Question 49

Question 50