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The frequency of electromagnetic radiation is145 10 Hz . The wavelength ofit is _____ nm and it is in the _______ region of electromagnetic spectrum

Question

The frequency of electromagnetic radiation is 145 × 10<sup>12</sup> Hz. The wavelength of it is _____ nm and it is in the _______ region of electromagnetic spectrum.

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Solution

To find the wavelength of the electromagnetic radiation, we can use the formula for the speed of light (c), which is c = λν, where λ is the wavelength and ν is the frequency.

The speed of light (c) is approximately 3.00 x 10^8 m/s.

Given that the frequency (ν) is 145 x 10^10 Hz, we can rearrange the formula to solve for the wavelength (λ):

λ = c / ν

Substituting the given values:

λ = (3.00 x 10^8 m/s) / (145 x 10^10 Hz)

This gives us a wavelength in meters. However, the question asks for the wavelength in nanometers (nm).

1 meter is equal to 1 x 10^9 nm, so we multiply our answer by 1 x 10^9 to convert from meters to nanometers.

As for the region of the electromagnetic spectrum, we can determine this based on the wavelength. The electromagnetic spectrum is generally divided into the following regions, from longest wavelength (lowest frequency) to shortest wavelength (highest frequency): radio waves, microwaves, infrared, visible light, ultraviolet, X-rays, and gamma rays.

Without calculating the exact wavelength, it's not possible to specify the exact region. However, once you calculate the wavelength, you can refer to the ranges for each region to determine where it falls.

This problem has been solved

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