Radiation in the radiofrequency region of the electromagnetic spectrum for use in NMR is often described in terms of frequency, in units of MHz. One common example is 1H resonance frequency at 2.35T, which is 100.0MHz (1.000 x 108Hz). Calculate the values of its angular frequency (Ï) in rad/s or s-1, wavenumber (Î½Ì ) in cm-1, wavelength (Î») in m, and energy (E) in J.

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13 Dec 2019

Radiation in the radiofrequency region of the electromagnetic spectrum for use in NMR is often described in terms of frequency, in units of MHz. One common example is ¹H resonance frequency at 2.35T, which is 100.0MHz (1.000 x 10⁸Hz). Calculate the values of its angular frequency (Ï) in rad/s or s^-1, wavenumber (Î½Ì ) in cm^-1, wavelength (Î») in m, and energy (E) in J.

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Keith LeannonLv2

17 Dec 2019

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Electromagnetic radiation behaves both as particles (called photons) and as waves. Wavelength (Î») and frequency (Î½) are related according to the equation

c=Î»ÃÎ½

where c is the speed of light (3.00Ã108 m/s). The energy (E in joules) contained in one quantum of electromagnetic radiation is described by the equation

E=hÃÎ½

where h is Planck's constant (6.626Ã10â34 Jâ s). Note that frequency has units of inverse seconds (sâ1), which are more commonly expressed as hertz (Hz).

Part A

A microwave oven operates at 3.00 GHz . What is the wavelength of the radiation produced by this appliance?

Express the wavelength numerically in nanometers.

1. Radiation in the ultraviolet region of the electromagnetic spectrum is quite energetic. It is this radiation that causes dyes to fade and your skin to develop a sunburn. If you are bombarded with 1.00 mol of photons with a wavelength of 355 nm, what amount of energy, in kilojoules per mole of photons, are you being subjected to?

Energy = ____ kJ/mol

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2. Calculate the wavelength and frequency of light emitted when an electron changes from N=6 to N=3 in the H atom.

Wavelength = ___ m

Frequency = ___ s^-1

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