The human eye is sensitive to light with wavelength up to 380 nm.What is the frequency of radiation at this wavelength? (1 nm = 10−⁹ m and c = 3.00 × 10⁸ m/s) A) 7.89E+5 Hz B) 8.27E+6 Hz C) 7.89E+14 Hz D) 8.16E+7 Hz E) 4.08E+7 Hz

Question

Quizplus · Accepted Answer

We can use the equation c = λν to solve for the frequency (ν) of radiation with a wavelength (λ) of 380 nm:

c = λν
ν = c/λ

First, we need to convert 380 nm to meters:

380 nm x (1 m/10^9 nm) = 3.8 x 10^-7 m

Then, we can plug in the values:

ν = (3.00 x 10^8 m/s) / (3.8 x 10^-7 m)
ν = 7.89 x 10^14 Hz

Therefore, the frequency of radiation with a wavelength of 380 nm is 7.89 x 10^14 Hz, which corresponds to choice C.

The Human Eye Is Sensitive to Light with Wavelength Up