Question

Electromagnetic waves travel with speed of about 300,000 km per second (3 x 108 meters per second). What is the wavelength of an electromagnetic wave with a frequency of one billion cycles per second (109 cycles per second). Is this radio or ultraviolet light?

Answer 1

  The wavelength of the waves is 2.75×10⁶ m. and it is a radio wave.

What is wavelength?

Wavelength can be defined as the distance of one complete cycle of a wave.

To calculate the wavelength of the electromagnetic wave, we use the formula below.

Formula:

• v = λf.............. Equation 1

Where:

• v = Speed of the wave
• λ = wavelength of the wave
• f = frequency of the wave.

make λ the subject of the equation

• λ = v/f............ Equation 2

From the question,

Given:

• v = 300000 km/s
• f = 109 cycle per seconds.

Substitute these values into equation 2

• λ = 300000/109
• λ = 2752.3 km
• λ = 2.75×10⁶ m.

This falls within the wavelength range of radio waves.

Hence, the wavelength of the waves is 2.75×10⁶ m. and it is a radio wave.
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