A radio station is broadcasting at 90.7 mhz. compute for its wavelength in angstrom and energy in kilojoules.
To compute for the wavelength of a radio station broadcasting at 90.7 MHz in angstroms, we can use the formula:
Wavelength (in angstroms) = (Speed of Light)/(Frequency)
First, let's convert the frequency from MHz to Hz:
90.7 MHz = 90.7 x 10^6 Hz
The speed of light, denoted by "c," is approximately 3 x 10^8 meters per second (m/s).
Now we can substitute the values into the formula:
Wavelength (in meters) = (3 x 10^8 m/s) / (90.7 x 10^6 Hz)
To convert meters to angstroms, we need to multiply by a conversion factor:
1 meter = 10^10 angstroms
So, the formula for wavelength in angstroms becomes:
Wavelength (in angstroms) = [(3 x 10^8 m/s) / (90.7 x 10^6 Hz)] x (10^10 angstroms/meter)
Simplifying the equation, we have:
Wavelength (in angstroms) = (3 x 10^18 angstroms/s) / (90.7 x 10^6 Hz)
Now, let's calculate the wavelength:
Wavelength (in angstroms) = (3 x 10^18) / (90.7 x 10^6)
= 33.04 angstroms
Therefore, the wavelength of the radio station broadcasting at 90.7 MHz is approximately 33.04 angstroms.
To compute for the energy in kilojoules, we need to know additional information such as the power of the radio station. The energy can be calculated using the formula:
Energy = Power x Time
Please provide the power of the radio station and the time if you would like me to calculate the energy.