Respuesta :

for light travelling in vacuums, ALWAYS use this equation:
c = (wavelength) * (frequency)
c is a constant, speed of light = 3 x 10^8 m/s

make sure all units are consistent!

so frequency = c / (wavelength) = ( 3 x 10^8 m/s ) / (4.257 x 10^ -9 m )
plug it into your calculator and you're done!

Answer: The frequency of the given light is [tex]7.05\times 10^{16}s^{-1}[/tex]

Explanation:

To calculate the frequency of light, we use the equation:

[tex]\nu=\frac{c}{\lambda}[/tex]

where,

[tex]\lambda[/tex] = wavelength of the light = [tex]4.257\times 10^{-7}cm=4.257\times 10^{-9}m[/tex]     (Conversion factor: 1 m = 100 cm)

c = speed of light = [tex]2.998\times 10^8m/s[/tex]

[tex]\nu[/tex] = frequency of light

Putting values in above equation, we get:

[tex]\nu=\frac{3\times 10^8m/s}{4.257\times 10^{-9}m}\\\\\nu=7.05\times 10^{16}s^{-1}[/tex]

Hence, the frequency of the given light is [tex]7.05\times 10^{16}s^{-1}[/tex]