GATE PH topic:physics PYQs & Answers — Page 32

Questions 311–320 of 650. Imported answers require independent review unless marked reviewed.

Electronic specific heat of a solid at temperature

, where

is a constant related to the thermal effective mass (

) of the electrons. Then which of the following statements are correct?

Your answerSelect all correct options. You can choose more than one.

is greater than free electron mass for all solids

Temperature dependence of

depends on the dimensionality of the solid

The linear temperature dependence of

is observed at

Debye temperature

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In a Hall effect experiment on an intrinsic semiconductor, which of the following statements are correct?

Your answerSelect all correct options. You can choose more than one.

Hall voltage is always zero

Hall voltage is negative if the effective mass of holes is larger than those of electrons

Hall coefficient can be used to estimate the carrier concentration in the semiconductor

Hall voltage depends on the mobility of the carriers

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A parallel plate capacitor with spacing

and area of cross-section

is connected to a source of voltage

. If the plates are pulled apart quasistatically to a spacing of

, then which of the following statements are correct?

Your answerSelect all correct options. You can choose more than one.

The force between the plates at spacing

The work done in moving the plates is

The energy transferred to the voltage source is

The energy of the capacitor reduces by

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A system with time independent Hamiltonian

has two constants of motion

and

. Then which of the following Poisson brackets are always zero?

Your answerSelect all correct options. You can choose more than one.

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In the action-angle variables

, consider the Hamiltonian

and

. Let

. Which of the following are possible plots of the trajectories with different initial conditions in

plane?

Your answerSelect all correct options. You can choose more than one.

Diagram for Physics question 55 (figure 2)

Diagram for Physics question 55 (figure 3)

Diagram for Physics question 55 (figure 4)

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A particle of mass

in the

plane is confined in an infinite two-dimensional well with vertices at

. The eigenfunctions of this particle are

. If perturbation of the form

, where

is a real constant, is applied, then which of the following statements are correct for the first excited state?

Your answerSelect all correct options. You can choose more than one.

The unperturbed energy is

First order energy shift due to the applied perturbation is zero

The shift (

) in energy due to the applied perturbation is determined by an equation of the form

, where

and

are real, non-zero constants

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A junction is formed between a metal on the left and an

-type semiconductor on the right. Before forming the junction, the Fermi level

of the metal lies below that of the semiconductor. Then which of the following schematics are correct for the bands and the

characteristics of the junction?

Your answerSelect all correct options. You can choose more than one.

Diagram for Physics question 57 (figure 2)

Diagram for Physics question 57 (figure 3)

Diagram for Physics question 57 (figure 4)

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A plane polarized electromagnetic wave propagating in

plane is incident at the interface of two media at Brewster’s angle. Taking

as the boundary between the two media, the electric field of the reflected wave is given by

then which among the following statements are correct?

Your answerSelect all correct options. You can choose more than one.

The angle of refraction is

Ratio of permittivity of the medium of refraction (

) with respect to the medium on incidence (

The incident wave can have components of its electric field in

plane

The angle of reflection is

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

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In a nucleus, the interaction

is responsible for creating spin-orbit doublets. The energy difference between

and

states in units of

is ____________ (Round off to the nearest integer)

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GATE PH topic:physics PYQs

Question 51

Question 52

Question 53

Question 54

Question 55

Question 56

Question 57

Question 58

Question 59

Question 60