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JEE Main20208 Jan 2020Evening ShiftPhysicsElectromagnetic WavesActual

A plane electromagnetic wave of frequency 25 G H z is propagating in vacuum along the z-direction. At a particular point in space and time, the magnetic filed is given by B → = 5 × 10 - 8   j ^   T . The corresponding electric field E → is (speed of light = 3 × 10 8   m s - 1 )

Options

  1. A1.66 × 10 - 16 i ^   V m
  2. B- 1.66 × 10 - 16 i ^   V m
  3. C- 15 i ^   V m
  4. D15 i ^   V m

Correct answer

D. 15 i ^   V m

Step-by-step solution

Given, the electromagnetic wave is propagating in z i.e., + k ^ direction. The relation between the magnitudes of electric field, magnetic field and the speed of light is given by E B = C ⇒   E = B × C ⇒   E = 5 × 10 - 8 × 3 × 10 8 = 15   V   m - 1 We know that the direction of propagation of electromagnetic wave is along E → × B → . So, E → = 15   i ^   V   m - 1

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