Calculate the wavelength (in nm) of light with the frequency of 4.524 x 10^14 Hz? (Answer to one decimal)

Answer 1

c = λν

c = speed of light =~ 3x10⁸ m/sec

λ = wavelength = ?

v = frequency = 4.524x10¹⁴ Hz = 4.524x10¹⁴ sec^-1

Solving for λ:

λ = c / v = 3x10⁸ m/sec / 4.524x10¹⁴ sec^-1

λ = 6.63x10^-7 m

Converting this to nanometers (nm):

6.63x10^-7 m x 1 nm / 1x10^-9 m = 663.1 nm