GATE PH discipline:physics PYQs & Answers — Page 13

Questions 121–130 of 650. Imported answers require independent review unless marked reviewed.

A neutral conducting sphere of radius

is placed in a uniform electric field of magnitude

, that points along the

axis. The electrostatic potential at any point

outside the sphere is given by

, where

is the constant potential of the sphere. Which of the following option(s) is/are correct?

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

The induced surface charge density on the sphere is proportional to

The electric field at any point is curl free for

The electric field at any point is divergence free for

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A point charge

is placed at the origin, inside a linear dielectric medium of infinite extent, having relative permittivity

. Which of the following option(s) is/are correct?

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

The magnitude of the polarization varies as

The magnitude of the screened charge due to the dielectric medium is less than the magnitude of the point charge

for

The magnitude of the screened charge due to the dielectric medium is more than the magnitude of the point charge

for

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A linear magnetic material in the form of a cylinder of radius

and length

is placed with its axis parallel to the

axis. The cylinder has uniform magnetization

. Which of the following option(s) is/are correct?

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

The magnetic field at any point outside the cylinder can be expressed as the gradient of a scalar function

The bound volume current density is zero

The surface current density on the curved surface is non-zero

The surface current densities on the flat surfaces (top and bottom) are non-zero

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Cyclotrons are used to accelerate ions like deuterons (

) and

particles. Keeping the magnetic field same for both,

and

are extracted with energies 10 MeV and 20 MeV with extraction radii

and

, respectively. Taking the masses

and

, the value of

(in integer) is ______

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In the transistor circuit shown in the figure,

and

. The value of the base current in

(rounded off to one decimal place) is ________

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Consider the set

. An orthonormal basis in

is formed from these three terms, where the normalization of a function

is defined via

. If the orthonormal basis set is

, then the value of

(in integer) is ______

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The Hamiltonian for a one dimensional system with mass

, position

and momentum

, where

is a real function of

. If

, then

. The value of

(in integer) is _____.

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A system of five identical, non-interacting particles with mass

and spin

is confined to a one-dimensional potential well of length

. If the lowest energy of the system is

, the value of

(in integer) is _____.

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A wheel of mass

and radius

is made of a thin uniform distribution of mass

at the rim and a point mass

at the center. The spokes of the wheel are massless. The center of mass of the wheel is connected to a horizontal mass rod of length

, with one end fixed to O, as shown in the figure. The wheel rolls without slipping on horizontal ground with angular speed

. If

is the total angular momentum of the wheel about O, then the magnitude

. The value of

(in integer) is _____.

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The figure shows an opamp circuit with a 5.1 V Zener diode in the feedback loop. The opamp runs from

V supplies. If a +1 V signal is applied at the input, the output voltage (rounded off to one decimal place) is _____.

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GATE PH discipline:physics PYQs

Question 56

Question 57

Question 58

Question 59

Question 60

Question 61

Question 62

Question 63

Question 64

Question 65