An electromagnetic wave travelling in the x - direction has frequency of 2 × 10 14 H z and electric field amplitude of 27 V m – 1 oscillates in Y - direction. From the options given below, which one describes the magnetic field for this wave?

Question

An electromagnetic wave travelling in the x - direction has frequency of 2 × 10 14 H z and electric field amplitude of 27 V m – 1 oscillates in Y - direction. From the options given below, which one describes the magnetic field for this wave?, B → x , t = ( 9 × 10 - 8 T ) j ^ sin 1.5 × 10 - 6 x - 2 × 10 14 t, B → x , t = ( 9 × 10 - 8 T ) i ^ sin 2 π 1.5 × 10 - 8 x - 2 × 10 14 t, B → x , t = 3 × 10 - 8 T j ^ sin 2π x 1.5 × 10 - 8 - 2 × 10 14 t, B → x , t = 9 × 10 - 8 T k ^ sin2π x 1.5 × 10 - 6 - 2 × 10 14 t

MARKS App · Accepted Answer

When undefined Then B = B 0 sin ⁡ ( k x − ω t ) Of light in travelling along i ^ then B → in either along j ^ or k ^ . ∴ speed of light C = E 0 B 0 ⇒ B 0 = E 0 C ⇒ B 0 = 27 3 × 10 8 = 9 × 10 - 8 T also, ω = 2 π f = 2 π × 2 × 10 14 = 4 π × 10 14 k = ω c = 4 π × 10 14 3 × 10 8 = ( 2 π 1.5 × 10 − 6 ) Looking into the option the correct Answer is B → = 9 × 10 - 8 sin ⁡ 2 π x 1.5 × 10 - 6 - 2 × 10 14 t k ^

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