Question

In a 60 MHz NMR spectrometer, it takes energy of 60 MHz frequency to excite the unshielded 1H nuclei in tetramethylsilane (TMS). What wavelength of light does this correspond to?

Answer 1

In a 60 MHz NMR spectrometer, the energy corresponding to a frequency of 60 MHz is equivalent to an electromagnetic wavelength of 5 meters.

Step-by-step explanation:

To determine the wavelength λ that corresponds to a frequency of 60 MHz, we can use the equation for the speed of electromagnetic waves, c = λν, where c is the speed of light in a vacuum (approximately 3 × 108 m/s) and ν is the frequency. Since the frequency in this case is 60 MHz, or 60 × 106 s−1, we can rearrange the equation to solve for λ: λ = c / ν.

λ = (3 × 108 m/s) / (60 × 106 s−1) = 5 meters.

Therefore, in a 60 MHz NMR spectrometer, the energy of 60 MHz frequency that excites the unshielded 1H nuclei in tetramethylsilane (TMS) corresponds to a wavelength of 5 meters of electromagnetic radiation.