GATE PH branch:ph PYQs & Answers — Page 36

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

Topic practice 650 questionsPage 36 of 65

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.

Diagram for Physics question 16 (figure 2)

Diagram for Physics question 16 (figure 3)

Diagram for Physics question 16 (figure 4)

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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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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

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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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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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 _____.

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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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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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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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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

. The value of

(in integer) is ______.

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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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GATE PH branch:ph PYQs

Question 16

Question 17

Question 18

Question 19

Question 20

Question 21

Question 22

Question 23

Question 24

Question 25