The magnetic field in a plane monochromatic electromagnetic wave with wavelength λ = 577 nm, propagating in a vacuum in the z-direction is described by where B1 = 7.6 x 10-6 T, and i-hat and j-hat are the unit vectors in the +x and +y directions, respectively.

1) What is k in m-1, the wavenumber of this wave?
2) What is zmax in nm, the distance along the positive zaxis to the position where the magnitude of the magnetic field is a maximum at t = 0?
3) What is Emax in V/m, the amplitude of the electric field oscillations?
4) What is Ey in V/m, the y-component of the electric field at (x = 0, y = 0, z = zmax) at t = 0?