Calculate the wavelength in centimeters of (a) an airport tower transmitting at 118.6 MHz. (b) a VOR (radio navigation aid)transmitting at 114.10 kHz. (c)an NMR signal at 105 MHz. (d)an infrared absorption peak with a wavenumber of 1210cm^-1

Question

Answer 1

To calculate the wavelength of electromagnetic waves, we can use the formula:

where

is the wavelength,

is the speed of light in a vacuum (approximately

m/s), and

is the frequency of the wave.Let's calculate the wavelength for each case:(a) For an airport tower transmitting at 118.6 MHz:

To convert this to centimeters:

(b) For a VOR transmitting at 114.10 kHz:

To convert this to centimeters:

(c) For an NMR signal at 105 MHz:

To convert this to centimeters:

(d) For an infrared absorption peak with a wavenumber of 1210 cm

:The wavenumber is the reciprocal of the wavelength in centimeters. Therefore, we can find the wavelength by taking the reciprocal of the wavenumber:

So, the wavelength of the infrared absorption peak is approximately 0.000822 cm.

Soru