An EM wave propagating in $x$-direction has a wavelength of $8 \mathrm{mm}$. The electric field vibrating $y$-direction has maximum magnitude of $60{\mathrm{Vm}}^{-1}$. Choose the correct equations for electric and magnetic fields if the EM wave is propagating in vacuum :

• A

  $E_y=60\sin \left[\frac{\pi }{4}\times {10}^3\left(x-3\times {10}^8\mathrm{t}\right)\right]\widehat{j } \mathrm{V} {\mathrm{m}}^{-1}$

  $B_z=2\sin \left[\frac{\pi }{4}\times {10}^3\left(x-3\times {10}^8\mathrm{t}\right)\right]\hat{k} \mathrm{T}$

• Correct answer
  B

  $E_y=60\sin \left[\frac{\pi }{4}\times {10}^3\left(x-3\times {10}^8\mathrm{t}\right)\right]\widehat{ j} \mathrm{V} {\mathrm{m}}^{-1}$

  $B_z=2\times {10}^{-7}\sin \left[\frac{\pi }{4}\times {10}^3\left(x-3\times {10}^{8}t\right)\right]\hat{k} \mathrm{T}$

• C

  $E_y=2\times {10}^{-7}\sin \left[\frac{\pi }{4}\times {10}^3\left(x-3\times {10}^{8}t\right)\right]\hat{j} \mathrm{V} {\mathrm{m}}^{-1}$

  $B_z=60\sin \left[\frac{\pi }{4}\times {10}^3\left(x-3\times {10}^8\mathrm{t}\right)\right]\hat{k} \mathrm{T}$

• D

  $E_y=2\times {10}^{-7}\sin \left[\frac{\pi }{4}\times {10}^4\left(x-4\times {10}^8\mathrm{t}\right)\right]\hat{j} \mathrm{V} {\mathrm{m}}^{-1}$

  $B_z=60\sin \left[\frac{\pi }{4}\times {10}^4\left(x-4\times {10}^{8}t\right)\right]\hat{k} \mathrm{T}$

Hence, the correct answer is option: 'B'.