GATE PH format:nat PYQs & Answers — Page 7

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Questions 61–70 of 182. Imported answers require independent review unless marked reviewed.

Topic practice 182 questionsPage 7 of 19

In a nucleus, the interaction

is responsible for creating spin-orbit doublets. The energy difference between

and

states in units of

is ____________ (Round off to the nearest integer)

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Two identical particles of rest mass

approach each other with equal and opposite velocity

, where

is the speed of light. The total energy of one particle as measured in the rest frame of the other is

. The value of

is ______________ (Round off to two decimal places)

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In an X-Ray diffraction experiment on a solid with FCC structure, five diffraction peaks corresponding to (111), (200), (220), (311) and (222) planes are observed using 1.54 Å X-rays. On using 3 Å X-rays on the same solid, the number of observed peaks will be ______________

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For 1 mole of Nitrogen gas, the ratio

of entropy change of the gas in processes (I) and (II) mentioned below is ______________ (Round off to one decimal place)

(I) The gas is held at 1 atm and is cooled from 300 K to 77 K.

(II) The gas is liquified at 77 K.

(Take

, Latent heat

)

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Frequency bandwidth

of a gas laser of frequency

Hz is

where

at room temperature and

is the atomic mass of the lasing atom. For

laser (wavelength = 633 nm),

Hz. The value of

is ________ (Round off to one decimal place)

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A current of 1 A is flowing through a very long solenoid made of winding density 300 turns/m. As shown in the figure, a parallel plate capacitor, with plates oriented parallel to the solenoid axis and carrying surface charge density

, is placed at the middle of the solenoid. The momentum density of the electromagnetic field at the midpoint

of the capacitor is

. The value of

is ______________ (Round off to the nearest integer)

(speed of light

)

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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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GATE PH format:nat PYQs

Question 60

Question 61

Question 62

Question 63

Question 64

Question 65

Question 17

Question 18

Question 19

Question 20