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

The electric field associated with an em wave in vacuum is given by `vecE = 40 cos (kz-6 xx 10^8t)hati`, where E, z and t are in V.`m^(-1)`. meter and seconds respectively. The value of wave vector k is

A

`2m^(-1)`

B

`0.5m^(-1)`

C

`6 m^(-1)`

D

`3 m ^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
A
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • ELECTROMAGNETIC WAVES

    CHHAYA PUBLICATION|Exercise EXERCISE (VERY SHORT ANSWER )|16 Videos

  • ELECTROMAGNETIC WAVES

    CHHAYA PUBLICATION|Exercise EXERCISE (SHORT ANSWER TYPE QUESTION -I)|3 Videos

  • ELECTROMAGNETIC WAVES

    CHHAYA PUBLICATION|Exercise NCERT EXEMPLAR QUESTIONS|7 Videos

  • ELECTROMAGNETIC INDUCTION & ALTERNATING CURRENT

    CHHAYA PUBLICATION|Exercise CBSE SCANNER|28 Videos

  • ELECTROMAGNETISM

    CHHAYA PUBLICATION|Exercise CBSE SCANNER|26 Videos

Similar Questions

Explore conceptually related problems

The equation of the electric field associated with an electromagnetic wave is E=0.001 sin (10^14t-1/3xx10^(-8) x)V.m^(-1) . What is the (i) frequency, (ii) wavelength of this wave? Establish the equation of the associated magnetic field.

Suppose that the electric field part of an electromagnetic wave in vacuum is E = {(3.1 N//C) cos [(1.8 rad//m) y + (5.4 xx 10^(6) rad//s)t]} hat i . (a) What is the direction of propagation? (b) What is the wavelength lamda ? (c) What is the frequency ν ? (d) What is the amplitude of the magnetic field part of the wave? (e) Write an expression for the magnetic field part of the wave.

Knowledge Check

  • In an organ pipe (may be closed or open )of length 1 m standing wave is setup, whose equation for longitudinal displacement is given by xi =(0.1 mm) "cos" (2 pi)/0.8 (y)"cos"(400)t where y is measured from the top on the tube in meters and t in second. The upper end and the lower ends of the tube ae respectively

    A
    open- closed
    B
    closed- open
    C
    open- open
    D
    closed- closed

    • Similar Questions

    Explore conceptually related problems

    The distance x of a particle from a fixed point at time t is given by, x = 5 + A sin 2t + B cos 2t, where A and b are given to be 3 and 4 respectively. However, it is found on measurement that there is a 1% erroe in the maximum value of x and this is due to an error in A only. Find the percentage error in A.

    The value of electric field at a region of space is given by, E=Ar where A=100V .m^(2) and r=distance (in m) from origin inside the electric field. Find the amount of charge enclosed in a sphere of radius 20 cm centered at the origion. Given 1/(4piepsilon_(0))=9xx101/(4piepsilon_(0))=9xx10^(9)N.m^(2).c^(-2)

    Suppose that the electric field part of an electromagnetic wave in vacuum is vecE=[(3.1 N.C^(-1)) "cos"{1.8 "rad" .m^(-1))y+(5.4xx10^6 "rad". s^(-1) ) t}]hati Write an expression for the magnetic field part of the wave.

    Suppose that the electric field part of an electromagnetic wave in vacuum is vecE=[(3.1 N.C^(-1)) "cos"{1.8 "rad" .m^(-1))y+(5.4xx10^6 "rad". s^(-1) ) t}]hati What is the amplitude of the magnetic field part of the wave?

    The transverse displacement of a string (clamped at its both ends) is given by y(x, t) = 0.06 sin ((2 x)/(3) x) cos (120 pi t) where x and y are in m and t in s. The length of the string is 1.5 m and its mass is 3.0 xx 10^(-2) kg . Answer the following : (a) Does the function represent a travelling wave or a stationary wave? (b) Interpret the wave as a superposition of two waves travelling in opposite directions. What is the wavelength, frequency , and speed of each wave ? (c ) Determine the tension in the string.

    The transverse displacement of a string (clamped at its both ends) is given by y (x , t) = 0 . 0 6 sin ((2pi)/(3) x) cos (120 pi t) Where x and y are in m and t in s . The length of the string is 1 . 5 m and its mass is 3 . 0 xx 10^(-2) kg . Answer the following , Interpret the wave as a superposition of two waves travelling in opposite directions . What is the wavelength, frequency and speed of each wave ?

    The transverse displacement of a string (clamped at its both ends) is given by y (x , t) = 0 . 0 6 sin ((2pi)/(3) x) cos (120 pi t) Where x and y are in m and t in s . The length of the string is 1 . 5 m and its mass is 3 . 0 xx 10^(-2) kg . Answer the following , Does the funcation represent a travelling wave or a stationary wave ?

    Home
    Profile