Home
Class 12
PHYSICS
An electric field in an e.m.wave is give...

An electric field in an e.m.wave is given by
`E=200 sin .(2pi)/lambda(ct-x)NC^-1`.
Find the energy contained in a cylinder of crossection `20 cm^2` and length 40 cm along the x-axis.

Text Solution

Verified by Experts

Average energy density of the electromagnetic wave is
<`U_(av)> =(1)/(2)epsilonE_(0)^(2)=(1)/(2)xx8.55xx10^(-12)xx(50)^(2)=1.1xx10^(-8)Jm^(-3)`
Volume `10 (cm)^(2) xx 50 cm = 5 xx 10^(4) m^(3)`
U= volume xx energy density
=`5xx10^(4)xx1.1xx10^(8)=5.5xx10^(12)J`
Promotional Banner

Topper's Solved these Questions

  • ELECTROMAGNETIC WAVE & WAVE OPTICS

    FIITJEE|Exercise SOLVED PROBLEMS Objective: Level-I|10 Videos
  • ELECTROMAGNETIC WAVE & WAVE OPTICS

    FIITJEE|Exercise SOLVED PROBLEMS Objective: Level-II|10 Videos
  • ELECTROMAGNETIC WAVE & WAVE OPTICS

    FIITJEE|Exercise ASSIGNMENT PROBLEMS Objective : Level-II (MULTI CHOICE SINGLE CORRECT)|21 Videos
  • ELECTROMAGNETIC INDUCTION AND AC CURRENT

    FIITJEE|Exercise Example|15 Videos
  • ELECTROSTANTICS

    FIITJEE|Exercise MATRIX MATCH TYPE|1 Videos

Similar Questions

Explore conceptually related problems

The electric field in an electromahetic wave is given by E = 100sin omega (t-x//c) . Find the energy contained in a cylinder of crross section 20cm^(2) and length 1 m along the x -axis. Also find intensity of wave.

The electric field in an electromagnetic wave is given by E( 50N (C^-1)) sin omega (t-x/c). Find the energy contained in a cylinder of cross section 10 cm^2 and length 50 cm along the x- axis.

The electric field in an electromagnetic wave is given by e = 50 sin omega(t - x//c)("in"NC^(-1)) Find the energy contained in a cylindrical space of cross-section 10 cm^(2) and length 100 cm along the x-axis. Also find the intensity of wave

The electric in an electromagetic wave is given by E=(100 N/C) sinomega(t-(X)/(C )) . If the energy contained in a cylinder of coss-section 10 cm^(2) and length 50 cm along the X-axis is 4.4xx10^(-8)J//m^(3) , then find intensity of the wave.

The electric field in an electromagnetic wave is given by E=(50N/C)sin(omega t-kx) .The energy contained in a cylinder of cross section 1m^(2) and length 25cm along the x axis is nearly

electric field in an electromagnetic wave is given by E= 60 sin"" ( 2 pi ) /( lamda ) ( ct - x) N//c what is the energy contained in a cyinder of length 40 cm ( along the Y - axis ) and area of cross section 20 cm^2 ?

The electric field of an electromagnetic wave is given by E = (50 N C ^(-1)) sin omega (t - x//c). The energy contained in a cylinder of cross section 10 cm ^(2) and length l /10 along the x-axis is 5.5 xx 10 ^(-12)J. The vlaue of l is

Electric field intensity of an electromagnetic wave is represented as E= ( 100 N/C ) sin ( omega t - kx ) . Amount of energy stored in a cylindrical volume of cross section 10 cm^2 and length 100 cm , along X -axis is given by 0.443 xx 10^(-2x ) Joules . what is the value of x ?

The electric field in an electromagnetic wave is given by E = (50 NC^(-1) sinomega(t-x//c) The energy contained in a cylinder of volume V is 5.5xx10^(-12) J. The value of V is ___ cm^(3) . (given epsilon_(0) = 8.8xx10^(-12) C^(2)N^(-1)m^(-2))

FIITJEE-ELECTROMAGNETIC WAVE & WAVE OPTICS-SOLVED PROBLEMS (subjective )
  1. A plane light wave in the visible region is moving along the Z-directi...

    Text Solution

    |

  2. Electro magnetic waves travel in a medium with speed of 2xx10^(8)m//se...

    Text Solution

    |

  3. An electric field in an e.m.wave is given by E=200 sin .(2pi)/lambda...

    Text Solution

    |

  4. The permittivity and permeability of free space are epsilon(0) = 8.85 ...

    Text Solution

    |

  5. Suppose that the electric field amplitude of an electromagnetic wave u...

    Text Solution

    |

  6. How would you established an instantaneous displacement current of 4A ...

    Text Solution

    |

  7. Light of wavelength 600 nm is incident normally on a slit of width 3 m...

    Text Solution

    |

  8. Light waves can be polarised but sound waves cannot be. Why?

    Text Solution

    |

  9. Certain sunglasses use a polarizing material to reduce the intensity o...

    Text Solution

    |

  10. What minimal value can the Brewester angle have when light falls from ...

    Text Solution

    |

  11. When light is incident on a transparent dielectric at the Brewester an...

    Text Solution

    |

  12. Two poalroids are placed at 90^(@) to eachother and the transmitted in...

    Text Solution

    |

  13. Draw a graph that shows the dependence of intensity of transmitted lig...

    Text Solution

    |

  14. A person uses + 1.5 D glasses to have normal vision from 25 cm onwards...

    Text Solution

    |

  15. An astronomical telescope has a magnifying power of 10. In normal adju...

    Text Solution

    |

  16. The objective of telescope A has a diameter 3 times that of the object...

    Text Solution

    |

  17. Define magnifying power and resolving power of a telescope.

    Text Solution

    |

  18. Why is diffraction of sound waves easier to observe than diffraction o...

    Text Solution

    |

  19. Radiowaves diffract pronouncedly around buildings, while light waves, ...

    Text Solution

    |

  20. Do you think that interference pattern in Young's double slit experime...

    Text Solution

    |