Which of the following statements are TRUE for first-order analyses of NMR spectra (the type of analysis most commonly done). a. Carbon-13, an NMR-active nucleus, has a nuclear spin quantum number of 0.
b. First-order multiplets are symmetrical, and their chemical shift is given by the position of the first peak in the multiplet.
c. The spin-multiplicity of the proton NMR absorption of the methylene group in ethanol-OD is 4. Equivalent protons do not split each other.
d. The difference in absorption frequency is equal to or less than 6 J.

The ozone molecule o3 has a permanent dipole moment of 1.8×10−30 cm. although the molecule is very slightly bent-which is why it has a dipole moment-it can be modeled as a uniform rod of length 2.5×10−10 m with the dipole moment perpendicular to the axis of the rod. suppose an ozone molecule is in a 8000 n/c uniform electric field. in equilibrium, the dipole moment is aligned with the electric field. but if the molecule is rotated by a small angle and released, it will oscillate back and forth in simple harmonic motion.what is the frequency f of oscillation?