A uniform plane electromagnetic wave in air is described by E(x,t)=120 , (1.5 x-6 t)…

PHYSICS · Multi-part · CBSE · Physics · Waves · Waves

Problem

A uniform plane electromagnetic wave in air is described by

E(x,t)=120\,\sin(1.5\pi x-6\pi t)\;\text{V m}^{-1},

where

x

is in metres and

t

in seconds. Answer the following: (i) Calculate the wavelength

\lambda

and frequency

\nu

of the wave. (ii) Determine the instantaneous value of the electric field at the point

x=0.25\,\text{m}

at time

t=0.020\,\text{s}

. (iii) Find the phase difference between the positions

x_1=0.25\,\text{m}

and

x_2=0.75\,\text{m}

at the same instant

t=0.020\,\text{s}