The electric field of an electromagnetic wave in free space is given by $\vec E$$=10 cos (10^7t+kx)$$\hat j$ $volt/m $ where $t$ and $x$ are in seconds and metres respectively. It can be inferred that

$(1)$ the wavelength $\lambda$ is $188.4\, m.$

$(2)$ the wave number $k$ is $0.33\,\,  rad/m.$ 

$(3)$ the wave amplitude is $10\, V/m.$

$(4)$ the wave is propagating along  $+x$ direction. 

Which one of the following pairs of statements is correct ?

  • [AIPMT 2010]
  • A

    $(3)$ and $(4)$

  • B

    $(1)$ and $(2)$

  • C

    $(2)$ and $(3)$

  • D

    $(1)$ and $(3)$

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