A line in the hydrogen atomic line spectrum has a wavelength of 486 nm. What is
the frequency of this light (in Hz)?
frequency*wavelength=speedoflight
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To find the frequency of the light with a given wavelength, you can use the formula:
\[ v = \frac{c}{\lambda} \]
where:
- \( v \) is the frequency of light in Hz,
- \( c \) is the speed of light in a vacuum (approximately \( 3.00 \times 10^8 \) meters per second),
- \( \lambda \) is the wavelength of the light in meters.
First, we need to convert the wavelength from nanometers (nm) to meters (m).
Given that the wavelength of the light is 486 nm, we can convert it to meters by multiplying it by the conversion factor \( 1 \, \text{nm} = 1 \times 10^{-9} \, \text{m} \).
So, the wavelength in meters (\( \lambda \)) is \( 486 \times 10^{-9} \) meters.
Next, we can substitute the values into the formula to calculate the frequency (\( v \)):
\[ v = \frac{3.00 \times 10^8 \, \text{m/s}}{486 \times 10^{-9} \, \text{m}} \]
Calculating this expression will give us the frequency of the light in Hz.