Question

What is the wavelength λλlambda of the wave described in the problem introduction? Express the wavelength in terms of the other given variables and constants

Answer 1

Complete Question

The complete question is shown on the first uploaded image

Answer:

The wavelength is   $\lambda= \frac{2 \pi }{k}$

Explanation:

From the question we are told that  

      The electric field is $\= E = E_o sin (kx - wt )\r j$

       The magnetic field is  $\= B = B_0 sin (kx -wt) \r k$

From the above equation

and  k is the wave number which is mathematically represented as

        $k = \frac{2 \pi }{\lambda }$

=>     $\lambda= \frac{2 \pi }{k}$

Where $\lambda$ is the wavelength