Home
Class 12
PHYSICS
The electric field in an electromagnetic...

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.

A

The volume of the cylinder is `5 xx 10 ^(-4) m ^(3)`

B

The energy contained in cylinder is `5.5 xx 10 ^(-12) J`

C

The volume of the cylinder is `3 xx 10 ^(7) m ^(3)`

D

The energy contained in cylinder is `7 xx 10 ^(-12) J`

Text Solution

Verified by Experts

The correct Answer is:
A, B

The energy density is
`u _(av) = 1/2 epsi _(0) E _(0) ^(2)`
`=1/2 xx (8.85 xx 10 ^(-12) C ^(2) N ^(-1) m ^(-2)) xx (50 N C ^(-1)) ^(2)`
`=1.1 xx 10 ^(-8) J m ^(-8)`
The volume of the cylinder is
`V=10 cm^(2) xx 50 cm = 5 xx 10 ^(-4) m ^(3)`
The energy contained in this volume is
`U = (1.1 xx 10 ^(-8) J m ^(-3)) xx (5 xx 10 ^(-4) m ^(3)) = 5.5 xx 10 ^(-12) J`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • ELECTROMAGNETIC WAVES

    MTG-WBJEE|Exercise WB JEE WORKOUT (CATEGORY 2 : SINGLE OPTION CORRECT TYPE)|15 Videos
  • ELECTROMAGNETIC INDUCTION AND ALTERNATING CURRENT

    MTG-WBJEE|Exercise WB JEE Previous Years Questions |14 Videos
  • ELECTROSTATICS

    MTG-WBJEE|Exercise (WB JEE Previous Years Questions ) CATEGORY 3 : One or More than One Opion correct Type|4 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)sin(omega t-kx) .The energy contained in a cylinder of cross section 1m^(2) and length 25cm along the x axis is nearly

Knowledge Check

  • 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

    A
    3
    B
    9
    C
    4
    D
    5
  • The electric vector vibration of an electromagnetic wave is given by E = (50NC^(-1)) sin omega(t-(x)/(c)) , The intensity of the wave is

    A
    `2.3 Wm^(-2)`
    B
    `4.3 Wm^(-2)`
    C
    `3.3 Wm^(-2)`
    D
    `1.8 Wm^(-2)`
  • Similar Questions

    Explore conceptually related problems

    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 = 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 field in an electromagnetic wave is given by E = (50 NC^(-1)) sin omega (t-x/c) . Find the intensity of the wave wm^(-2) .

    The electric field in an electromagnetic wave is given by: E= (50 NC^(-1)) sin omega(t-(x)/c)Find the intensity (in W/m^2 ) of the wave.

    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.

    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))