Questions 351–360 of 650. Imported answers require independent review unless marked reviewed.

Topic practice 650 questionsPage 36 of 65

Question 16

Open question
PHMSQ1 markNeeds review
If

is a solution of the differential equation

where

is an integer and the prime (

) denotes differentiation with respect to

, then acceptable plot(s) of

, is(are)
Your answerSelect all correct options. You can choose more than one.

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Question 17

Open question
PHNAT1 markNeeds review
The donor concentration in a sample of n-type silicon is increased by a factor of 100. Assuming the sample to be non-degenerate, the shift in the Fermi level (in meV) at 300 K (rounded off to the nearest integer) is _____. (Given:

meV at 300 K)

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Question 18

Open question
PHNAT1 markNeeds review
Two observers

and

observe two events

and

. The observers have a constant relative speed of 0.5c. In the units, where the speed of light, c, is taken as unity, the observer

obtained the following coordinates:
Event

:

,

,

,

Event

:

,

,

,

The length of the space-time interval between these two events, as measured by

, is

. The value of

(in integer) is ______.

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Question 19

Open question
PHNAT1 markNeeds review
A light source having its intensity peak at the wavelength 289.8 nm is calibrated as 10,000 K which is the temperature of an equivalent black body radiation. Considering the same calibration, the temperature of light source (in K) having its intensity peak at the wavelength 579.6 nm (rounded off to the nearest integer) is ______.

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Question 20

Open question
PHNAT1 markNeeds review
A hoop of mass

and radius

rolls without slipping along a straight line on a horizontal surface as shown in the figure. A point mass

slides without friction along the inner surface of the hoop, performing small oscillations about the mean position. The number of degrees of freedom of the system (in integer) is _____.
Diagram for Physics question 20


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Question 21

Open question
PHNAT1 markNeeds review
Three non-interacting bosonic particles of mass

each, are in a one-dimensional infinite potential well of width

. The energy of the third excited state of the system is

. The value of

(in integer) is ______.

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Question 22

Open question
PHNAT1 markNeeds review
The spacing between two consecutive S-branch lines of the rotational Raman spectra of hydrogen gas is 243.2 cm

. After excitation with a laser of wavelength 514.5 nm, the Stoke’s line appeared at 1761.1 cm

for a particular energy level. The wavenumber (rounded off to the nearest integer), in cm

, at which Stoke’s line will appear for the next higher energy level is ______.

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Question 23

Open question
PHNAT1 markNeeds review
The transition line, as shown in the figure, arises between

and

states without any external magnetic field. The number of lines that will appear in the presence of a weak magnetic field (in integer) is ______.
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Question 24

Open question
PHNAT1 markNeeds review
Consider the atomic system as shown in the figure, where the Einstein A coefficients for spontaneous emission for the levels are

and

. If

atoms/cm

are excited from level 0 to level 2 and a steady state population in level 2 is achieved, then the steady state population at level 1 will be

cm

. The value of

(in integer) is ______.
Diagram for Physics question 24


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Question 25

Open question
PHNAT1 markNeeds review
If

and

are constant vectors,

and

are generalized positions and conjugate momenta, respectively, then for the transformation

and

to be canonical, the value of

(in integer) is ______.

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