Questions 291–300 of 650. Imported answers require independent review unless marked reviewed.

Topic practice 650 questionsPage 30 of 65

Question 31

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Electric field is measured along the axis of a uniformly charged disc of radius 25 cm. At a distance

from the centre, the field differs by 10% from that of an infinite plane having the same charge density. The value of

is ______ cm. (Round off to one decimal place)

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Question 32

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In a solid, a Raman line observed at

has intensity of Stokes line four times that of the anti-Stokes line. The temperature of the sample is ______ K. (Round off to the nearest integer) (

)

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Question 33

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An electromagnetic pulse has a pulse width of

. The uncertainty in the momentum of the corresponding photon is of the order of

, where

is an integer. The value of

is __________ (speed of light

,

)

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Question 34

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The wavefunction of a particle in a one-dimensional infinite well of size

at a certain time is

. Probability of finding the particle in

state at that time is ______% (Round off to the nearest integer)

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Question 35

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A spectrometer is used to detect plasma oscillations in a sample. The spectrometer can work in the range of

to

. The minimum carrier concentration that can be detected by using this spectrometer is

. The value of

is __________ (Round off to two decimal places)
(Charge of an electron

, mass of an electron

and

)

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Question 36

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Consider a non-interacting gas of spin 1 particles, each with magnetic moment

, placed in a weak magnetic field

, such that

. The average magnetic moment of a particle is
Your answerChoose one option.

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Question 37

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Water at 300 K can be brought to 320 K using one of the following processes.
Process 1: Water is brought in equilibrium with a reservoir at 320 K directly.
Process 2: Water is first brought in equilibrium with a reservoir at 310 K and then with the reservoir at 320 K.
Process 3: Water is first brought in equilibrium with a reservoir at 350 K and then with the reservoir at 320 K.
The corresponding changes in the entropy of the universe for these processes are

,

and

, respectively. Then
Your answerChoose one option.

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Question 38

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A student sets up Young’s double slit experiment with electrons of momentum

incident normally on the slits of width

separated by distance

. In order to observe interference fringes on a screen at a distance

from the slits, which of the following conditions should be satisfied?
Your answerChoose one option.

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Question 39

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Consider a particle in three different boxes of width

. The potential inside the boxes are as shown in figures (i), (ii) and (iii) with

. The corresponding ground-state energies of the particle are

,

and

, respectively. Then
Diagram for Physics question 39

Your answerChoose one option.

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Question 40

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In cylindrical coordinates

, which of the following is a Hermitian operator?
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