Question

Calculate wavelength in metres and nanometers of green light whose frequency is 5.7 x 10^14 Hz.

Answer 1

5.3 x 10⁻⁷ m

Step-by-step explanation:

Data Given

frequency = 5.7 x 10¹⁴ Hz.

Convert Hz to per seconds (s⁻¹)

1 Hz = 1 s⁻¹

5.7 x 10¹⁴ Hz = 1 x 5.7 x 10¹⁴ = 5.7 x 10¹⁴ s⁻¹

wavelength =?

Solution:

Formula used to calculate wavelength

f = c/λ

rearrange the above equation

λ = c/f ........(1)

Where:

c = speed of light = 3 x 10⁸ ms⁻¹

λ= wavelength

put the values in above equation 1

λ = 3 x 10⁸ ms⁻¹ / 5.7 x 10¹⁴ s⁻¹

λ = 5.3 x 10⁻⁷ m

So the wavelength of light = 5.3 x 10⁻⁷ m