An oxygen molecule consists of two oxygen nuclei, each of massm= 2.7×10−26kg, separated by a distance 1.2×10−10m, and surrounded by a cloud of electrons, each ofmass 9.1×10−31kg.(a) ignoring the small mass of the electron, what is the moment of inertia for rotationof the nuclei around their center of mass? if this rotation has angular momentumequal to~, that is, planck’s constant divided by 2π, what is the correspondingenergy of rotation? express your answer in units of electron volts (ev), where 1ev = 1.6×10−19j.(b) suppose one of the electrons orbits in a circular orbit perpendicular to the axisjoining the nuclei, with radius 1×10−10m. this motion contributes a momentof inertia of the molecule along the internuclear axis. how big is this momentof inertia? if the electron has angular momentum~, what is the correspondingenergy of rotation, in ev? (this illustrates, very roughly, the discrepancy betweenelectronic and rotational energy scales in molecules.)

a)  I = 1,944 10⁻⁴⁶ Kg m²

, b)   I = 7,915 10⁻⁵¹ Kg m²

Explanation:

a) The moment of inertia of point masses is

                 I = m r²

The nuclei have a very small size (10-15 m) so we can consider them punctual.

The distance to the center of mass passing through the middle of the two nuclei of equal mass

       r = 0.6 10⁻¹⁰ m

The moment of total inertia

       I = I₁ + I₂ = 2 I₀

       I = 2 2.7 10⁻²⁶ (0.6 10⁻¹⁰)²

       I = 1,944 10⁻⁴⁶ Kg m²

The kinetic energy of the rotation is

      w = h / 2π

      K = ½ I w²

      K = ½ 1,944 10⁻⁴⁶ (h / 2π)² = ½ 1.944 10⁻⁴⁶ (6.63 10⁻³⁴ / 2π)²

      K = 2.16 10⁻¹¹⁴ J (1eV / 1.6 10⁻¹⁹ J)

      K = 2.16 10⁻⁹⁵ eV

B) the moment of inertia of the electron in the orbit, we can calculate it with the parallel axis theorem

       I = + m R²

       I = r² +   R²

Where R we calculate it by Pythagoras

      R² = (0.6 10⁻¹⁰)² + (0.5 10⁻¹⁰) 2

      R = √ (0.61 10⁻²⁰)

      R = 0.78 10⁻¹⁰ m

      I = 9.1 10⁻³¹ (0.5 10⁻¹⁰)² + 9.1 10⁻³¹ (0.78 10⁻¹⁰)²

      I = (2,275 +5.54) 10⁻⁵¹

      I = 7,915 10⁻⁵¹ Kg m²

The rotation energy of the electron

      K = ½ I w²

If the angular velocity is the electrons outside the core, its kinetic energy is much lower by an order 10⁵, but the angular velocity of the electrons is much higher.

nec chapter 5 contains

c. information on special occupancy areas

nec chapter 6 covers

a. special equipment

which of the following rules contain the words shall or shall not and must be adhered to?

b. mandatory rules

which of the following rules identify actions that are allowed but not required and typically cover options or alternative methods?

c. optional rules

which of the following serves as the introduction to the nec and provides an overview of the book?

a. nec article 90

organizations that test products for safety are

c. nrtls

the nec is published by the

a national fire protection association

the nec is divided into

b. 9 chapters

the nec provides informative annexes for

c. informational materials and examples

two terms from nec article 100 that trainees should become familiar with are

b. labeled and listed

explanation:

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