Questions 631–640 of 650. Imported answers require independent review unless marked reviewed.

Topic practice 650 questionsPage 64 of 65

Question 46

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Using Hund’s rule, the total angular momentum quantum number

for the electronic ground state of the nitrogen atom is
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Question 47

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Which one of the following operators is Hermitian?
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Question 48

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The real space primitive lattice vectors are

and

. The reciprocal space unit vectors

and

for this lattice are, respectively
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Question 49

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Consider two particles and two non-degenerate quantum levels 1 and 2. Level 1 always contains a particle. Hence, what is the probability that level 2 also contains a particle for each of the two cases: (i) when the two particles are distinguishable and (ii) when the two particles are bosons?
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Question 50

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A person weighs

at Earth's north pole and

at the equator. Treating the Earth as a perfect sphere of radius 6400 km, the value

is ________. (up to two decimal places). (Take

).

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Question 51

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The geometric cross-section of two colliding protons at large energies is very well estimated by the product of the effective sizes of each particle. This is closest to
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Question 52

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For the transistor amplifier circuit shown below with

,

,

, and

. Neglecting the emitter diode resistance, the input impedance of the amplifier looking into the base for small ac signal is ________ k

. (up to two decimal places).
Diagram for Physics question 52


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Question 53

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Consider an ideal operational amplifier as shown in the figure below with

,

,

. For an applied input voltage

, the current passing through

is ________

. (up to two decimal places).
Diagram for Physics question 53


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Question 54

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Consider the differential equation

. If

,

is ________. (up to two decimal places).

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Question 55

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Positronium is an atom made of an electron and a positron. Given the Bohr radius for the ground state of the Hydrogen atom to be 0.53 Angstroms, the Bohr radius for the ground state of positronium is ________ Angstroms. (up to two decimal places).

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