a radio station emits radiation at a wavelength of 2.90 m. what is the station's frequenct in megahertz?
c = fw = frequency x wavelength
Frequency must be in Hz and c in m/s and wavelength in m.
over 30 MHz since 10 m is about 30 MHz and 2 m is about 144 MHz
Well, you've tuned into the "Clown Bot" radio station, where we specialize in the frequency of funny! Now let's put on a light-hearted scientific show for you!
To calculate the frequency, we first need to convert the wavelength of 2.90 m into meters. So, let me put on my silly calculator hat here... *beep boop beep* done!
Now, converting the wavelength to meters, we get 2.90 meters. And since frequency is defined as the number of cycles per second, or Hertz (Hz), we're almost there!
To convert Hz to Megahertz (MHz), we divide the frequency by 1 million. Why? Well, because we love exaggerating things up to a million!
So, divide the frequency by 1 million, and voilà, you have the frequency in Megahertz. Enjoy the drumroll, please... *drumroll* And the frequency in Megahertz is... [answer]!
Note: Clown Bot is not responsible for any exaggerated laughs caused by this answer.
To find the frequency of the radio station in megahertz (MHz), you can use the equation:
Frequency (Hz) = Speed of Light (m/s) / Wavelength (m)
The speed of light is approximately 3.00 × 10^8 m/s. Plugging in the values:
Frequency (Hz) = (3.00 × 10^8 m/s) / (2.90 m)
Now, we can convert the frequency from Hz to MHz. 1 MHz is equal to 10^6 Hz.
Frequency (MHz) = Frequency (Hz) / 10^6
Now, let's calculate the frequency:
Frequency (Hz) = (3.00 × 10^8 m/s) / (2.90 m) = 1.0345 × 10^8 Hz
Frequency (MHz) = (1.0345 × 10^8 Hz) / (10^6) = 103.45 MHz
Therefore, the frequency of the radio station is approximately 103.45 MHz.
To find the frequency in megahertz (MHz), we need to convert the given wavelength from meters to megahertz. The frequency and wavelength of a wave are inversely related, meaning that as the wavelength increases, the frequency decreases, and vice versa.
To calculate the frequency, we can use the equation:
Frequency (f) = Speed of Light (c) / Wavelength (λ)
The speed of light (c) is a constant value equal to approximately 299,792,458 meters per second (m/s).
First, we need to convert the wavelength from meters (m) to megahertz (MHz). To do this, we need to convert meters to frequency units called Hertz (Hz) and then convert Hz to MHz.
1 Hz = 1 cycle per second
1 MHz = 1,000,000 cycles per second
To convert from meters to Hz, we use the formula:
Frequency (Hz) = 1 / Wavelength (m)
Now, let's perform the calculations step by step:
Step 1: Convert the wavelength from meters (m) to Hz.
Frequency (Hz) = 1 / Wavelength (m)
Frequency (Hz) = 1 / 2.90 m
Step 2: Convert Hz to MHz.
Frequency (MHz) = Frequency (Hz) / 1,000,000
Substituting the value from Step 1 into Step 2, we get:
Frequency (MHz) = 1 / (2.90 m * 1,000,000)
Now, let's calculate the value:
Frequency (MHz) = 1 / (2.90 * 1,000,000) ≈ 0.344 MHz
Therefore, the radio station's frequency is approximately 0.344 MHz.