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NEET2012PhysicsElectromagnetic WavesActual

The electric field associated with an electro magnetic wave in vacuum is given by E = i 40 (k z-6 10^8 t ) , where E , z and t are in volt/m, metre and second respectively. The value of wave vector k is

Options

  1. A2 ~m ⁻¹
  2. B0.5 ~m ⁻¹
  3. C6 ~m ⁻¹
  4. D3 ~m ⁻¹

Correct answer

A. 2 ~m ⁻¹

Step-by-step solution

Electromagnetic wave equation E=E₀ (k w- t) Speed of electromagnetic wave v= k Given, equation E = 40 (k z-6 10^8 t ) i Comparing Eqs. (i) and (ii), we get =6 10^8 and E₀=40 i Here, wave factor k= v = 6 10^8 3 10^8 =2 ~m ⁻¹

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