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JEE Main201912 Apr 2019Morning ShiftPhysicsElectromagnetic WavesActual

An electromagnetic wave is represented by the electric filed E → = E 0 n ^ sin ⁡ ω t + 6 y - 8 z . Taking unit vectors in x , y and z directions to be i ^ , j ^ , k ^ , the directions of propogations s ^ , is:

Options

  1. As ^ = 3 i ^ - 4 j ^ 5
  2. Bs ^ = - 3 i ^ + 4 j ^ 5
  3. Cs ^ = 4 i ^ - 3 k ^ 5
  4. Ds ^ = - 4 i ^ - 3 k ^ 5

Correct answer

B. s ^ = - 3 i ^ + 4 j ^ 5

Step-by-step solution

The standard equation of electromagnetic wave E → = E 0 n ^ sin ω t - k x ^ here x ^   represents the direction of propagation wave. On comparing the given equation with the standard equation, the direction of propagation is along line - 6 y + 8 z . Thus, unit vector along the direction of propagation is, s ^ = - 6 j ^ + 8 k ^ 10 = - 3 5 j ^ + 4 5 k ^

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