Determine the magnetic field strength necessary when a 750 MHz instrument for ¹H NMR is used. (γ for ¹H = 2.675 × 10⁸ T^-1s^-1) 

How much do two signals differ in a 500 MHz spectrometer, if in a 400 MHz spectrometer they differ by 3.5 ppm?

Determine if each of the following statements is true or false:

i. The coupling constant in hertz (Hz) is directly proportional to the operating frequency.

ii. Compared to the operating frequency in IR and UV-vis spectroscopy, the operating frequency in NMR spectroscopy is much higher.

Write down how many signals are there and indicate their multiplicity in the ¹H NMR spectra of the given molecule.

(CH₃)₃CCH₂CH₂CH₂CH₂CH₂CH₂C(CH₃)₃

The following figure shows that proton H _a will appear as a doublet in the ¹H NMR spectrum based on the ratio of possible spin arrangements of H_a and H_b. How would H_b appear in the spectrum?

Determine the splitting patterns in the ¹H NMR spectra for the molecule given below:

Which of the two bonds, C—H or C—N, will vibrate at a higher wavenumber?

Given that the force constant is identical for C–C, C–F, C–O, and C–Br bonds, arrange the stretching frequency of the bonds from lowest to highest.

Identify which of the following bonds would show IR-active vibrations and which would not.

Determine the functional group present in a compound that has a chemical formula of C₆H₁₄O and an IR spectrum displayed below.

Decanal is reduced to 1-decanol by using sodium borohydride. How does the IR spectrum shown below confirm the formation of the alcohol?

Match the IR spectrum to the correct molecule.

Predict the important peaks present in the IR spectrum of the molecule shown below.