Question

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

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 :

$\tt \lambda=\dfrac{c}{f}\\\\\lambda=\dfrac{3.10^8}{4.9\times 10^{14}}\\\\\lambda=6.12\times 10^{-7}~m$