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JEE Main20205 Sep 2020Morning ShiftPhysicsMagnetic Effects of CurrentActual

An electron is constrained to move along the y -axis with a speed of 0 . 1 c (c is the speed of light) in the presence of electromagnetic wave, whose electric field is E → = 30 j ^ sin 1 . 5 × 10 7 t - 5 × 10 - 2 x V m - 1 . where t in in seconds and x is im meters.The maximum magnetic force experienced by the electron will be: (given c = 3 × 10 8 m s - 1 and electron charge = 1 . 6 × 10 - 1

Options

  1. A3 . 2 × 10 - 18   N
  2. B2 . 4 × 10 - 18   N
  3. C4 . 8 × 10 - 19   N
  4. D1 . 6 × 10 - 19   N

Correct answer

C. 4 . 8 × 10 - 19   N

Step-by-step solution

In electromagnetic wave is E 0 B 0 = C so maximum value of magnetic field is B 0 = E 0 C F m a x = q V B m a x · sin 90 ° = q V 0 E 0 C   N 1 . 6 × 10 - 19 × 0 . 1 × 3 × 10 8 × 30 3 × 10 8 = 4 . 8 × 10 - 19   N

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