Question

Calculate the wavelength of radiation with a frequency of 4.9 ×1014 per second.

Answer in units of meters.

Answer 1

The wavelength-λ = 6.12 x 10⁻⁷ m

Further explanation

Radiation energy is absorbed by photons

The energy in one photon can be formulated as

`\large{\boxed{\bold{E\:=\:h\:.\:f}}}`

Where

h = Planck's constant (6,626.10⁻³⁴ Js)

f = Frequency of electromagnetic waves

f = c / λ

c = speed of light

= 3.10⁸ m/s

λ = wavelength

The wavelength of radiation with a frequency of 4.9 ×10¹⁴/s :

`\tt \lambda=(c)/(f)\\\\\lambda=(3.10^8)/(4.9* 10^(14))\\\\\lambda=6.12* 10^(-7)~m`