GATE PH purpose:exam-prep PYQs & Answers — Page 4

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Questions 31–40 of 650. Imported answers require independent review unless marked reviewed.

Topic practice 650 questionsPage 4 of 65

Consider a metal-superconductor junction connected to a dc voltage

. At

, where

is the superconductor’s transition temperature, the current

versus

behavior of this junction is shown schematically in the figure below. If the superconducting energy gap is

meV. The value of

(rounded off to one decimal place) is ____

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For the energy dispersion of an electron in a one-dimensional solid

, the ratio of the effective mass of the electron in the solid to the free electron mass (

) at

. Taking

and

, the value of

(rounded off to two decimal place) is ____

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The specific heat

of one mole of a material as a function of temperature

is given as

, where

and

. When

is changed from 1 K to 10 K at constant pressure, then the change in entropy

(rounded off to one decimal place) is ____

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Raman spectrum of a molecule was recorded using a source of wavelength 500 Å. The first Stokes line is observed at 510 Å. The first anti-Stokes line will appear at a wavelength

(in Å). The value of

(rounded off to nearest integer) is ____

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A rocket of length 18.0 m is moving at speed 0.9c (where c is the speed of light) parallel to its own length, relative to the earth. The length of the rocket measured in meters by an observer on earth (rounded off to two decimal places) is ____

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The function

of complex variable

given below,

has singular points at

Your answerChoose one option.

1 and

and

1 and

only

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Consider the Pauli matrices

. The value of

Your answerChoose one option.

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Which one of the following statements is true?

Your answerChoose one option.

In the decay

, CPT is violated.

The decay

is allowed and strangeness is violated.

The decay

is allowed.

The decay

is allowed.

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The Hamiltonian for a quantum particle of mass

is given below, where

. The Schrödinger equation for this system can be solved exactly using the orthogonal transformations:

and

The ground state energy of this system is

Your answerChoose one option.

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Consider two particles with angular momenta

and

. If the expression

gives an eigenstate of the total angular momentum of the two particles, using standard notation. Which of the following is true?

(Hint:

)

Your answerChoose one option.

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GATE PH purpose:exam-prep PYQs

Question 31

Question 32

Question 33

Question 34

Question 35

Question 36

Question 37

Question 38

Question 39

Question 40