Final answer:
To determine the frequency of light with a 456 nm wavelength, you use the light equation c = f × λ, which gives a result of approximately 6.58 × 1014 Hz (option b).
Step-by-step explanation:
The student has asked what the frequency of light is when given a wavelength of 456 nm. To calculate this, you can use the light equation, which relates the frequency (f), wavelength (λ), and the speed of light (c). This equation is given by:
c = f × λ
Where:
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- c is the speed of light, which is approximately 3.0 × 108 meters per second (m/s)
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- λ is the wavelength in meters (m)
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- f is the frequency in hertz (Hz)
First, convert the wavelength from nanometers to meters (1 nm = 1 × 10-9 m):
456 nm = 456 × 10-9 m
Then rearrange the equation to solve for frequency (f):
f = c / λ
f = (3.0 × 108 m/s) / (456 × 10-9 m)
f = 6.58 × 1014 Hz
The correct answer is b) 6.58×1014 Hz.