Question

What is the wavelength, in m, of radio waves transmitted by a radio station with a frequency of 1580 million cycles per second?

Answer 1

Step-by-step explanation:

To find the wavelength, we can use the formula:

wavelength = speed of light / frequency

The speed of light in a vacuum is approximately 3.00 x 10^8 meters per second. We need to convert the frequency from cycles per second to hertz (Hz), which is the standard unit for frequency. One hertz is equivalent to one cycle per second.

So, the frequency of the radio waves is:

1580 million cycles per second = 1580 million Hz = 1.58 x 10^9 Hz

Now we can calculate the wavelength:

wavelength = 3.00 x 10^8 m/s / 1.58 x 10^9 Hz

wavelength = 0.1905 meters or approximately 19 centimeters

Therefore, the wavelength of the radio waves transmitted by the radio station is approximately 0.1905 meters.

Answer 2

0.1899 m

Step-by-step explanation:

A frequency of 1580 million cycles per second is equivalent to:

1580 million cycles per second x 1,000,000 = 1.58 x 10^9 Hz

The wavelength of the radio waves can be calculated using the formula:

wavelength = speed of light / frequency

where the speed of light is approximately 3.00 x 10^8 m/s.

Now we can substitute the frequency into the formula:

wavelength = 3.00 x 10^8 m/s / 1.58 x 10^9 Hz

wavelength = 0.1899 meters (or 18.99 centimeters)

Therefore, the wavelength of the radio waves transmitted by the radio station is approximately 0.1899 meters.