Q153 / 160 · TS EAMCET 2022 (18 Jul Shift 1) · Physics

An electromagnetic wave is propagating in vacuum along -j^ direction. The magnetic field of the wave is given by B→=2×10-8cosπ×1015t+yc k^ T. The electric field E→ of this wave is (c= speed of light)

  • A
    E→=4cosπ×1015t+yc j^ V m-1
  • Correct answer
    B
    E→=6cosπ×1015t+yc i^ V m-1
  • C
    E→=6cosπ×1015t-yc j^ V m-1
  • D
    E→=4cosπ×1015t-yc i^ V m-1

Solution

As we know,

c=E0B0⇒E0=B0c=2×10-83×108=6 V m-1

Now, direction of propagation of wave

 =E^×B^⇒-j^=E^×k^⇒E^=i^

Angular frequency will remain the same. Therefore electric field can be written as,

E→=6cosπ×1015t+yc i^ V m-1

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

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