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Multiple Choice
What frequency of light has a wavelength of 455 nm?
A
4.37 × 10−19 s−1
B
6.59 × 105 s−1
C
1.51 × 106 s−1
D
6.59 × 1014 s−1
E
3.01 × 10−31 s−1
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Verified step by step guidance
1
Identify the relationship between wavelength and frequency using the equation: c = λν, where c is the speed of light (approximately 3.00 × 10^8 m/s), λ is the wavelength, and ν is the frequency.
Convert the given wavelength from nanometers to meters. Since 1 nm = 1 × 10^-9 m, multiply 455 nm by 1 × 10^-9 to convert it to meters.
Rearrange the equation c = λν to solve for frequency (ν): ν = c / λ.
Substitute the values for the speed of light (c) and the converted wavelength (λ) into the equation to calculate the frequency.
Ensure the units are consistent and perform the division to find the frequency in s^-1 (Hertz).