At one time, television sets used "rabbit-ears" antennas. Such an antenna consists of a pair of metal rods. The length of each rod can be adjusted to be one-sixth of a wavelength of an electromagnetic wave whose frequency is 65.0 MHz. How long is each rod?

Well, if television antennas were rabbit ears, then it must mean that TVs used to hop around to find the best reception! As for the length of each rod, let's calculate it.

We know that the frequency is 65.0 MHz. To find the wavelength, we can use the formula wavelength = speed of light / frequency.

Now, the speed of light is around 299,792,458 meters per second. But since the frequency is given in megahertz, we need to convert it to hertz first.

1 MHz is equal to 1,000,000 Hz, so 65.0 MHz = 65,000,000 Hz.

Now, let's plug these values into the formula:

wavelength = 299,792,458 m/s / 65,000,000 Hz

After calculating, we get that the wavelength is approximately 4.61 meters.

Since each rod should be one-sixth of the wavelength, we divide it by 6:

4.61 meters / 6 = approximately 0.77 meters.

So, each rod should be around 0.77 meters long. But remember, these measurements are just theoretical. In reality, the length of rabbit-ears antennas would also depend on the design and technology used at the time.

To find the length of each rod, we need to calculate the wavelength of the electromagnetic wave.

The speed of light is approximately 3.0 x 10^8 meters per second (m/s).

The formula to calculate the wavelength is: wavelength = speed of light / frequency.

Given that the frequency is 65.0 MHz, we need to convert it to Hz, since the speed of light is measured in meters per second:

65.0 MHz = 65.0 x 10^6 Hz.

So the wavelength is:

wavelength = (3.0 x 10^8 m/s) / (65.0 x 10^6 Hz).

Performing the calculation:

wavelength = 4.62 meters (rounded to two decimal places).

Since the length of each rod is one-sixth of the wavelength, we can calculate it using the formula:

length of each rod = wavelength / 6.

Plugging in the value of the wavelength:

length of each rod = 4.62 meters / 6.

Calculating:

length of each rod = 0.77 meters (rounded to two decimal places).

Therefore, each rod is approximately 0.77 meters long.

To find the length of each rod for a "rabbit-ears" antenna, we first need to calculate the wavelength of the electromagnetic wave at a frequency of 65.0 MHz.

The formula to calculate wavelength is:
Wavelength = Speed of Light / Frequency

The speed of light is approximately 3.00 x 10^8 meters per second.

Converting the frequency to Hz:
65.0 MHz = 65.0 x 10^6 Hz

Now we can plug in the values into the formula:

Wavelength = (3.00 x 10^8 meters per second) / (65.0 x 10^6 Hz)

Calculating the wavelength:

Wavelength = 4.62 meters

Since the antenna consists of a pair of rods, each rod would be one-sixth (1/6) of the calculated wavelength.

Length of each rod = (1/6) x 4.62 meters

Calculating the length of each rod:

Length of each rod = 0.77 meters (or 77.0 cm)

Therefore, each rod of the "rabbit-ears" antenna should be approximately 77.0 cm long.