Answer :
To find the wavelength of the given light, we can use the relationship between the speed of light, frequency, and wavelength. The formula is:
[tex]\[ \text{wavelength} = \frac{\text{speed of light}}{\text{frequency}} \][/tex]
1. Identify the given values:
- The frequency of light ([tex]\( f \)[/tex]) is [tex]\( 6.00 \times 10^{14} \)[/tex] Hz.
- The speed of light ([tex]\( c \)[/tex]) is a constant, approximately [tex]\( 3.00 \times 10^8 \)[/tex] meters per second (m/s).
2. Substitute the values into the formula:
[tex]\[ \text{wavelength} = \frac{3.00 \times 10^8 \, \text{m/s}}{6.00 \times 10^{14} \, \text{Hz}} \][/tex]
3. Calculate the wavelength:
- Divide [tex]\( 3.00 \times 10^8 \)[/tex] m/s by [tex]\( 6.00 \times 10^{14} \)[/tex] Hz:
- The result is [tex]\( 5.00 \times 10^{-7} \)[/tex] meters.
This result, [tex]\( 5.00 \times 10^{-7} \)[/tex] meters, represents the wavelength of the light. In more common units, this wavelength is typically expressed as 500 nanometers (since 1 nm = [tex]\( 10^{-9} \)[/tex] meters), which falls within the visible spectrum of light.
[tex]\[ \text{wavelength} = \frac{\text{speed of light}}{\text{frequency}} \][/tex]
1. Identify the given values:
- The frequency of light ([tex]\( f \)[/tex]) is [tex]\( 6.00 \times 10^{14} \)[/tex] Hz.
- The speed of light ([tex]\( c \)[/tex]) is a constant, approximately [tex]\( 3.00 \times 10^8 \)[/tex] meters per second (m/s).
2. Substitute the values into the formula:
[tex]\[ \text{wavelength} = \frac{3.00 \times 10^8 \, \text{m/s}}{6.00 \times 10^{14} \, \text{Hz}} \][/tex]
3. Calculate the wavelength:
- Divide [tex]\( 3.00 \times 10^8 \)[/tex] m/s by [tex]\( 6.00 \times 10^{14} \)[/tex] Hz:
- The result is [tex]\( 5.00 \times 10^{-7} \)[/tex] meters.
This result, [tex]\( 5.00 \times 10^{-7} \)[/tex] meters, represents the wavelength of the light. In more common units, this wavelength is typically expressed as 500 nanometers (since 1 nm = [tex]\( 10^{-9} \)[/tex] meters), which falls within the visible spectrum of light.
