Home
Class 12
PHYSICS
An e.m. wave trevels in vacuum along z d...

An e.m. wave trevels in vacuum along z direction:
`vecE=(E_1hati+E_2hatj)cos (kz-omegat)`. Choose the correct option from the following :

A

The associated magnetic field is given as `vecB=1/c(E_1hati+E_2hatj) cos (kz-omegat)`

B

The associated magnetic field is given as `vecB=1/c(E_1hati-E_2hatj) cos (kz-omega)`

C

The given electromagnetic field circular polarised

D

The given e.m. wave is plane polarised

Text Solution

Verified by Experts

The correct Answer is:
(a,d)

In em wave, the electric field vector is given as, `vecE=(E_1hati+E_2hatj)cos (kz-omegat)`
In em wave, the associated magnetic field vector, `vecB=(vecE)/c=(E_1hati+E_2hatj)/c cos (kz-omegat)`
Thus, option (a) is correct. As `vecE and vecB` are perpendicular to each other and the propagation of em
wave is `botr` to `vecE` as well as `vecB`, so the given em wave is plane polarised. Thus option (d) is true.
Promotional Banner

Topper's Solved these Questions

  • ELECTROMAGNETIC WAVES

    PRADEEP|Exercise (C) Problems for practice|1 Videos
  • ELECTROMAGNETIC WAVES

    PRADEEP|Exercise Multiple choice questions|1 Videos
  • ELECTROMAGNETIC WAVES

    PRADEEP|Exercise Value based questions|5 Videos
  • ELECTROMAGNETIC INDUCTION & ALTERNATING CURRENT

    PRADEEP|Exercise Multiple Choice Questions|1 Videos
  • ELECTRONIC DEVICES

    PRADEEP|Exercise Fill in the Blanks|1 Videos

Similar Questions

Explore conceptually related problems

An electromagnetic wave travelling along z-axis is given as E=E_(0) " cos "(kz- omegat). Choose the correct options from the following

choose e correct option w.r.t. leg- haemoglobin

Identify A to E choose the correct option accordingly .

A plane EM wave travelling in vacuum along z-direction is given by E=E_(0) " sin "(kz- omegat) hati " and " B =B_(0) " sin " (kz- omegat) hatj (i) Evaluate intE. dl over the rectangular loop 1234 shown in figure. (ii) Evaluate int B.ds over the surface bounded by loop 1234. (iii) Use equation int E.dl = (-dphi_(B))/(dt) to prove (E_(0))/(B_(0)) =c. (iv) By using similar proces and the equation int B.dl =mu_(0) I+ epsilon_(0) (dphi_(E))/(dt), prove that c (1)/(sqrt(mu_(0) epsilon_(0))

A plane EM wave travelling along z direction is described by E=E_0sin (kz-omegat) hati and B=B_0 sin (kz-omegat)hatj . show that (i) The average energy density of the wave is given by u_(av)=1/4 epsilon_0 E_0^2+1/4 (B_0^2)/(mu_0) . (ii) The time averaged intensity of the wave is given by I_(av)=1/2 cepsilon_0E_0^2 .

The electric field of a plane electromagnetic wave propagating along the x direction in vacuum is vecE = E_0 hatj cos (omegat - kx) . The magnetic field vecB , at the moment t=0 is :

If the wave-front of e.m.wave travelling in vacuum is given by , vecr=hati+hatj+hatk , and find the angle made by the direction of propagation of e.m. wave with y-axis.

(a) An e.m. wave is travelling in a medium with a velocity vecv=vhati .Draw a sketch showing the propagation of the e.m. wave, indicating the direction of the oscillating electric and magentic fields. (b) How are the magnitudes of the electric and magnetic fields related to the velocity of the e.m. wave?

PRADEEP-ELECTROMAGNETIC WAVES-Exercise
  1. The ratio of contributions made by the eletric field and magnetic fiel...

    Text Solution

    |

  2. An EM wave radiation outwards from a dipole antenna, with E0 as the am...

    Text Solution

    |

  3. An e.m. wave trevels in vacuum along z direction: vecE=(E1hati+E2hat...

    Text Solution

    |

  4. A plane electromagnectic wave propagating along x-direction can have t...

    Text Solution

    |

  5. A charged particle oscillates about its mean equilibrium position with...

    Text Solution

    |

  6. The source of electromagnetic waves can be a charge.

    Text Solution

    |

  7. An electromagnetic wave of intensity I falls on a surface kept in vacu...

    Text Solution

    |

  8. Out of the following options which one can be used produce a propagati...

    Text Solution

    |

  9. The electric field on an electromagnetic wave in free space is given b...

    Text Solution

    |

  10. If mu0 be the permeability and k0 , the dielectric constant of a mediu...

    Text Solution

    |

  11. An em wave going through vacuum is described by E=E0sin(kx-omegat) B...

    Text Solution

    |

  12. An electromagnetic wave of frequency v=3.0 MHz passes from vacuum into...

    Text Solution

    |

  13. The amplitude of em wave in vacuum is doubled with no other changes ma...

    Text Solution

    |

  14. Dimension of (1)/(mu(0)epsilon(0)), where symbols have usual meaning, ...

    Text Solution

    |

  15. The ratio of amplitude of magnetic field to the amplitude of electric ...

    Text Solution

    |

  16. A plane e.m. wave travelling along the x-direction has a wavelength of...

    Text Solution

    |

  17. The electric field part of an electromagnetic wave in a medium is repr...

    Text Solution

    |

  18. The refractive index and the permiability of a medium are respectively...

    Text Solution

    |

  19. The energy contained in a small volume through which an electromagneti...

    Text Solution

    |

  20. In an electromagnetic wave, the electric and magnetizing field are 100...

    Text Solution

    |