Home
Class 12
PHYSICS
An electromagnetic wave represented by t...

An electromagnetic wave represented by the electric field
`vecE=E_(0)hatnsin[omegat+(6-8z)]` taking unit vectors in x,y and z directions to be `hati,hatj,hatk` the direction of propagation `hats` is

A

`hats=(3hati-4hatj)/(5)`

B

`hats=(4hatj-3hatk)/(5)`

C

`hats=(-4hatk+3hatj)/(5)`

D

`hats=((-3hatj+4hatk)/(5))`

Text Solution

Verified by Experts

The correct Answer is:
D
`vecS=6hatj+8hatk`
`hatS=(vecS)/(|vecS|)," "hatS=(6hatj-8hatk)/(sqrt((6)^(2)+(-8)^(2)))`
`hatS=(6hatj-8hatk)/(sqrt(100))," "hatS=(2(3hatj-4hatk))/(10)," "hatS=(3hatj-4hatk)/(5)`
Promotional Banner

Topper's Solved these Questions

  • JEE MAIN REVISION TEST- 16

    VMC MODULES ENGLISH|Exercise PHYSICS (SECTION 2)|5 Videos

  • JEE MAIN REVISION TEST 8 (2020)

    VMC MODULES ENGLISH|Exercise PHYSICS (SECTION 2)|5 Videos

  • JEE MAIN REVISION TEST- 24

    VMC MODULES ENGLISH|Exercise PHYSICS ( SECTION - 2)|5 Videos

Similar Questions

Explore conceptually related problems

Find a unit vector in the direction of vector vecA=(hati-2hatj+hatk)

Find the unit vector in the direction of vector veca=4hati+3hatj+hatk .

Find a unit vector in the direction of vector vecb = hati + 2hatj + 3hatk .

Find the unit vector in the direction of the vector veca=hati+hatj+2hatk .

The direction cosines of vector a=3hati+4hatj+5hatk in the direction of positive axis of X, is

Assertion : Electromagnetic waves are transverse in nature Reason : The electric and magnetic fields in electromagnetic waves are perpendicular to each other and to the direction of propagation.

Find the unit vector in the direction of sum of vectors veca=hat2i-hatj+hatk and vecb=2hatj+hatk.

Find a vector in the direction of 5hati-hatj+2hatk , which has magnitude 8 units.

If the directions of electric and magnetic field vectors of a plane electromagnetic wave are along positive y- direction and positive z-direction respectively , then the direction of propagation of the wave is along

In a plane electromagnetic wave, the directions of electric field and magnetic field are represented by k and 2hat(i) - 2hat(j) , respectively. What is the unit vector along direction of propagation of the wave.