Home
Class 12
PHYSICS
The electric field associated with an el...

The electric field associated with an electromagnetic wave in vacuum is given by `vecE=40cos(kz-6xx10^(8)t)hati,`
where E, z and t are in volt per meter, meter and second respectively. The value of wave vector k is

A

`2m^(-1)`

B

`0.4m^(-1)`

C

`6m^(-1)`

D

`3m^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
A
Compare the given equation with `E=E_(0)cos(kz-omegat)`
we get, `omega=6xx108s^(-1)`
Wave vector, `k=(omega)/(c)=(6xx10^(8)s^(-1))/(3xx10^(8)ms^(-1))=2m^(-1)`
Promotional Banner

Topper's Solved these Questions

  • ELECTROMAGNETIC WAVES

    MTG GUIDE|Exercise CHECK YOUR NEET VITALS|25 Videos

  • ELECTROMAGNETIC INDUCTION AND ALTERNATING CURRENTS

    MTG GUIDE|Exercise AIPMT/NEET MCQS|31 Videos

  • ELECTRONIC DEVICES

    MTG GUIDE|Exercise AIPMT/NEET (MCQs)|42 Videos

Similar Questions

Explore conceptually related problems

The electric field associted with an electromagnetic wave in vacuum is given by vecE=hati 40 cos(kz=6xx10^(8)t) , when E , z and t are in volt//m, metre and second respectively

The electric field of an electromagnetic wave in free spaces is given by barE=5 cos(10^5t+kx)j , where t in second and x in meter then

Electric field of an electromagnetic wave travelling in vacuum is given by E = 20 sin ( kx - 6 xx 10^(8 ) t) what should the value of k in SI units ?

The electric field on an electromagnetic wave in free space is given by E=10 cos (10^7t+kx) hatj V//m , Where t and x are in seconds and metres respectively. It can be inferred that (1) the wavelength lambda is 188.4m. (2) the wave number k is 0.33rad//m (3) the wave amplitude is 10V//m (4) the wave is propagating along +x direction. which one of the following pairs of statement is correct?

The electric field of a plane electromagnetic wave is given by vecE=E_(0)(hatx+haty)sin(kz-omegat) Its magnetic field will be given by :

The electric field of a plane electromagnetic wave in vacuum is represented by E_(x)=0, E_(y)=0.5 cos[2pi xx10^(8) (t-x//c)] " and " E_(z)=0 . Determine the wavelength of the wave.

The electric field associated with an e.m. wave is described by the equation E=E_0sin(4pixx10^6x-1.2pixx10^(15)t) volt/meter, where x is in merter and t in second. The wavelength of the wave in the wave in the unit of 10^-7m is:

The electric field of an electromagnetic wave in free space is represented as vec E=E_(0)cos(omega t-kz) hat i . The corresponding magnetic induction vector will be: