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Moment of inertia of the water molecule (1 pt) z-axis perpendicular to plane of

ID: 2304428 • Letter: M

Question

Moment of inertia of the water molecule (1 pt) z-axis perpendicular to plane of drawing The water molecule H20 has two hydrogen atoms bonded with an oxygen atom as shown in the figure (left). We choose the origin at the centre of the oxygen atom, and the y-axis is the symmetry axis of the molecule (figure, right). The distance between the centre of the oxygen atom and the centre of one of the hydrogen atoms is r = 9.584 x 109 m, and the angle a 104.45 degrees. The mass of one hydrogen atom is mH1.66 x 1027 kg. The mass of one oxygen atom is mo 2.66 x 1026 kg. We approximate each atom as a point mass because the nucleus is so much smaller than the atom, while it contains almost all of the mass. Consider all possible rotation axes in the yz plane (x-0), which axis has the highest rotational energy for a given rotation period? Enter a number without units that is the y-component of the unit vector in the yz plane.

Explanation / Answer

Zero. the rotation axis is perpendicular to y axis passing H -atom.Hence y component is zero.

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