To calculate the frequency of light when the wavelength is given, we can use the relationship between speed, frequency, and wavelength. This relationship is given by the equation:
c=λ⋅νwhere:
c is the speed of light in a vacuum
(c≈3×108m∕ s),
λ is the wavelength in meters,
ν(nu) is the frequency in hertz (Hz). To find the frequency, we can rearrange the equation to solve for
ν :
ν= Given that the wavelength is
750nm (nanometers), we have to convert the wavelength into meters for our calculations because the speed of light is in meters per second. There are
1×109 nanometers in one meter, so:
750nm=750×10−9mNow, let's insert the values for
c and
λ into our equation:
ν=Calculating the frequency
ν :
ν===×108+6ν=4×1014HzTherefore, the frequency of light with a wavelength of
750nm is
4×1014Hz, which corresponds to Option B.