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Question: Answered & Verified by Expert
An electromagnetic wave is represented by the electric filed E=E0n^sinωt+6y-8z. Taking unit vectors in x,y and z directions to be i^,j^,k^,  the directions of propogations s^, is:
PhysicsElectromagnetic WavesJEE MainJEE Main 2019 (12 Apr Shift 1)
Options:
  • A s^=3i^-4j^5
  • B s^=-3i^+4j^5
  • C s^=4i^-3k^5
  • D s^=-4i^-3k^5
Solution:
2476 Upvotes Verified Answer
The correct answer is: s^=-3i^+4j^5

The standard equation of electromagnetic wave E=E0n^sinωt-kx^

here x^ represents the direction of propagation wave.

On comparing the given equation with the standard equation, the direction of propagation is along line -6y+8z . Thus, unit vector along the direction of propagation is,
s^=-6j^+8k^10=-35j^+45k^

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