For an electromagnetic wave in free space the measured wave number is

PHYSICS · Multi-part · A Level · Physics · Waves · Waves

Problem

k = 1.5 \times 10^{7}\,\text{m}^{-1}

. The peak magnetic field is

B_0 = (4.0 \pm 0.2) \times 10^{-8}\,\text{T}

. Using only these data, answer the questions below: (i) Compute the corresponding wavelength

\lambda

. (ii) Determine the angular frequency

\omega

and the linear frequency

\nu

of the wave. (iii) Calculate the period

T

of the oscillations. (iv) Evaluate the peak electric field

E_0

and quote your answer with its absolute uncertainty, clearly showing the propagation of error from the given uncertainty in

B_0