the frequency of violet light is 7.5*10^(14) what is its wavelength
The speed of light, c, is equal to the product of the wavelength (lamda), and the frequency, ν.
Then c = λ * v
Therefore
λ = c/ν
λ = 3 x 108 m/sec/(7.5 x 1014 Hz)
λ = 30 x 107 m/sec/(7.5 x 1014 Hz)
λ = 4 X 10-7m