Question

What is the wavelength (in nm) of light having a frequency of 4.7 × 1013 Hz? What is the frequency (in Hz) of light having a wavelength of 6.87 × 102 nm? a) Wavelength of light × 10 nm (Enter your answer in scientific notation.) b) Frequency of light × 10 Hz (Enter your answer in scientific notation.)

Answer 1

a)

we have:

frequency = 4.7*10^13 s-1

we have below equation to be used:

wavelength = speed of light/frequency

=(3.0*10^8 m/s)/(4.7*10^13 s-1)

= 6.38*10^-6 m

= 6.38*10^3 nm

Answer: 6.38*10^3 nm

b)

we have:

wavelength = 6.87*10^2 nm = 6.87*10^-7 m

we have below equation to be used:

frequency = speed of light/wavelength

=(3.0*10^8 m/s)/(6.87*10^-7 m)

= 4.37*10^14 Hz

Answer: 4.37*10^14 Hz