What is the formula for converting frequency to approximate wavelength in meters?

What is the formula for converting frequency to approximate wavelength in meters?

• A. Wavelength in meters equals frequency in megahertz multiplied by 300
• B. Wavelength in meters equals 300 divided by the frequency in megahertz
• C. Wavelength in meters equals frequency in megahertz divided by 300
• D. Wavelength in meters equals frequency in hertz divided by 300,000,000

Answer: (B)

The formula for converting frequency to approximate wavelength in meters is that the wavelength in meters equals 300 divided by the frequency in megahertz. This relationship arises from the fundamental equation that connects frequency (f) and wavelength (λ): \[ \lambda = \frac{c}{f} \] where \( c \) is the speed of light in meters per second, approximately \( 300,000,000 \) m/s. When using megahertz for frequency, we need to express this equation appropriately: 1. Since 1 megahertz (MHz) is \( 10^6 \) hertz, the frequency in hertz (f) can be written as \( f \) (in MHz) multiplied by \( 10^6 \). 2. Substituting this into the wavelength formula gives us: \[ \lambda = \frac{300,000,000}{f \times 10^6} = \frac{300}{f} \] Thus, when rearranging, we find that the wavelength in meters is equal to 300 divided by the frequency in megahertz. This approximation is commonly used by amateur radio operators, making it a vital piece of knowledge for anyone involved in radio communications

The formula for converting frequency to approximate wavelength in meters is that the wavelength in meters equals 300 divided by the frequency in megahertz. This relationship arises from the fundamental equation that connects frequency (f) and wavelength (λ):

[ \lambda = \frac{c}{f} ]

where ( c ) is the speed of light in meters per second, approximately ( 300,000,000 ) m/s. When using megahertz for frequency, we need to express this equation appropriately:

1. Since 1 megahertz (MHz) is ( 10^6 ) hertz, the frequency in hertz (f) can be written as ( f ) (in MHz) multiplied by ( 10^6 ).

2. Substituting this into the wavelength formula gives us:

[ \lambda = \frac{300,000,000}{f \times 10^6} = \frac{300}{f} ]

Thus, when rearranging, we find that the wavelength in meters is equal to 300 divided by the frequency in megahertz. This approximation is commonly used by amateur radio operators, making it a vital piece of knowledge for anyone involved in radio communications