Physics

Problem

An ultraviolet electromagnetic wave in air is described at a point by

E(t)=E_0\sin(\omega t)

, with angular frequency

\omega = 3.77 \times 10^{15}\,\text{rad}\,\text{s}^{-1}

. The maximum value of the electric field is

E_0 = 220\,\text{V}\,\text{m}^{-1}

. a. (i) Find the linear frequency

\nu

and the period

T

of the wave. b. (ii) Determine the wavelength

\lambda

and the corresponding wave number

k

in vacuum. c. (iii) Calculate the peak magnetic field

B_0

associated with this wave. d. (iv) Show numerically that the ratio

\dfrac{E_0}{B_0}

equals the speed of light within calculation accuracy.