GATE PH kind:question PYQs & Answers — Page 62

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Questions 611–620 of 650. Imported answers require independent review unless marked reviewed.

Topic practice 650 questionsPage 62 of 65

Three charges (2 C, -1 C, -1 C) are placed at the vertices of an equilateral triangle of side 1m as shown in the figure

. The component of the electric dipole moment about the marked origin along the

direction is ______ C m.

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An infinite solenoid carries a time varying current

, with

. The axis of the solenoid is along the

direction.

and

are the usual radial and polar directions in cylindrical polar coordinates.

is the magnetic field at a point outside the solenoid. Which one of the following statements is true?

Your answerChoose one option.

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A uniform volume charge density is placed inside a conductor (with resistivity

). The charge density becomes

of its original value after time ______ femto seconds. (up to two decimal places) (

)

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Water freezes at

at atmospheric pressure (

). The densities of water and ice at this temperature and pressure are 1000 kg/m

and 934 kg/m

respectively. The latent heat of fusion is

, the pressure required for depressing the melting temperature of ice by

is ______ GPa. (up to two decimal places)

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The minimum number of NAND gates required to construct an OR gate is:

Your answerChoose one option.

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Consider a 2-dimensional electron gas with a density of

. The Fermi energy of the system is ______ eV (up to two decimal places). (

)

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The total energy of an inert-gas crystal is given by

(in eV), where R is the inter-atomic spacing in Angstroms. The equilibrium separation between the atoms is ______ Angstroms. (up to two decimal places).

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Consider

non-interacting, distinguishable particles in a two-level system at temperature

. The energies of the levels are 0 and

, where

. In the high temperature limit (

), what is the population of particles in the level with energy

Your answerChoose one option.

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A free electron of energy 1 eV is incident upon a one-dimensional finite potential step of height 0.75 eV. The probability of its reflection from the barrier is ________ (up to two decimal places).

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Consider a one-dimensional potential well of width

. Using the uncertainty principle

, an estimate of the minimum depth of the well such that it has at least one bound state for an electron is

Your answerChoose one option.

1 μeV

1 meV

1 eV

1 MeV

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