Eduprobe
Question:
Consider an electromagnetic wave propagating in vacuum. Choose the correct statement:
For an electromagnetic wave propagating in +x direction the electric field is →E=1/√2Eyz(x,t)(^y−^z) and the magnetic field is →B=1/√2Eyz(x,t)(^y+^z)
For an electromagnetic wave propagating in +y direction the electric field is →E=1/√2Eyz(x,t)^z and the magnetic field is →B=1/√2Bz(x,t)^y
For an electromagnetic wave propagating in +x direction the electric field is →E=1/√2Eyz(y,z,t)(^y+^z) and the magnetic field is →B=1/√2Eyz(y,z,t)(^y+^z)
For an electromagnetic wave propagating in +y direction the electric field is →E=1/√2Eyz(x,t)^y and the magnetic field is →B=1/√2Bz(x,t)^z
For an electromagnetic wave propagating in +y direction the electric field is →E=1/√2Eyz(x,t)^y and the magnetic field is →B=1/√2Bz(x,t)^z
For an electromagnetic wave propagating in +x direction the electric field is →E=1/√2Eyz(x,t)(^y−^z) and the magnetic field is →B=1/√2Eyz(x,t)(^y+^z)
For an electromagnetic wave propagating in +y direction the 1 A electric field is →E=1/√2Eyz(x,t)^z and the magnetic field is →B=1/√2Bz(x,t)^y
For an electromagnetic wave propagating in +x direction the electric field is →E=1/√2Eyz(y,z,t)(^y+^z) and the magnetic field is →B=1/√2Eyz(y,z,t)(^y+^z)
Solution:
Electromagnetic waves travel in the direction perpendicular to electric as well as magnetic field. Cross product of electric and magnetic field should give the direction of electromagnetic wave.
→E × →B=1/√2Eyz(x,t)(^y−^z) × 1/√2Eyz(x,t)(^y+^z)=E^2yz(x,t)^x