Questions 81–90 of 380. Imported answers require independent review unless marked reviewed.

Topic practice 380 questionsPage 9 of 38

Question 10

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Four equilateral triangles are used to form a regular closed three-dimensional object by joining along the edges. The angle between any two faces is
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Question 11

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If

is the generating function of a canonical transformation from

to

, then which one of the following relations is correct?
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Question 12

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An unpolarized plane electromagnetic wave in a dielectric medium 1 is incident on a plane interface that separates medium 1 from another dielectric medium 2. Medium 1 and medium 2 have refractive indices

and

, respectively, with

. If the angle of incidence is

, which one of the following statements is true?
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Question 13

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The wavefunction of a particle in an infinite one-dimensional potential well at time

is

where

,

and

are the normalized ground state, the normalized first excited state and the normalized second excited state, respectively.

,

and

are the eigen-energies corresponding to

,

and

, respectively. The expectation value of energy of the particle in state

is
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Question 14

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If a thermodynamic system is adiabatically isolated and experiences a change in volume under an externally applied constant pressure, then the thermodynamic potential minimized at equilibrium is the
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Question 15

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The mean distance between the two atoms of HD molecule is

, where H and D denote hydrogen and deuterium, respectively. The mass of the hydrogen atom is

. The energy difference between two lowest lying rotational states of HD in multiples of

is
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Question 16

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Crystal structures of two metals A and B are two-dimensional square lattices with same lattice constant

. Electrons in metals behave as free electrons. The Fermi surfaces corresponding to A and B are shown by solid circles in figures.
Diagram for Physics question 16

The electron concentrations in A and B are

and

, respectively. The value of

is
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Question 17

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Consider the induced nuclear fission reaction

where neutron momenta in both initial and final states are negligible. The ratio of the kinetic energies (KE) of the daughter nuclei,

is __________
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Question 18

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The symbols C, D,

and

shown in the figure denote capacitor, ideal diode, input voltage and output voltage, respectively.
Diagram for Physics question 18

Which one of the following output waveforms (

) is correct for the given input waveform (

)?
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Question 19

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Let

and

, respectively, denote number and kinetic energy of electrons produced in a nuclear beta decay. Which one of the following distributions is correct?
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